{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,30]],"date-time":"2026-03-30T20:54:36Z","timestamp":1774904076467,"version":"3.50.1"},"reference-count":112,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2025,6,1]],"date-time":"2025-06-01T00:00:00Z","timestamp":1748736000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2025,6,1]],"date-time":"2025-06-01T00:00:00Z","timestamp":1748736000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2025,6,1]],"date-time":"2025-06-01T00:00:00Z","timestamp":1748736000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2025,6,1]],"date-time":"2025-06-01T00:00:00Z","timestamp":1748736000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2025,6,1]],"date-time":"2025-06-01T00:00:00Z","timestamp":1748736000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2025,6,1]],"date-time":"2025-06-01T00:00:00Z","timestamp":1748736000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2025,6,1]],"date-time":"2025-06-01T00:00:00Z","timestamp":1748736000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100004541","name":"Ministry of Education, India","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100004541","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Applied Soft Computing"],"published-print":{"date-parts":[[2025,6]]},"DOI":"10.1016\/j.asoc.2025.113237","type":"journal-article","created":{"date-parts":[[2025,5,16]],"date-time":"2025-05-16T06:34:08Z","timestamp":1747377248000},"page":"113237","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":6,"special_numbering":"C","title":["Fuzzy multi-objective multi-item five dimensional transportation problem: A case study of milk transportation problem"],"prefix":"10.1016","volume":"178","author":[{"ORCID":"https:\/\/orcid.org\/0009-0003-9503-5627","authenticated-orcid":false,"given":"Ekata","family":"Jain","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jayesh M.","family":"Dhodiya","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"issue":"1\u20134","key":"10.1016\/j.asoc.2025.113237_b1","doi-asserted-by":"crossref","first-page":"224","DOI":"10.1002\/sapm1941201224","article-title":"The distribution of a product from several sources to numerous localities","volume":"20","author":"Hitchcock","year":"1941","journal-title":"J. Math. Phys."},{"key":"10.1016\/j.asoc.2025.113237_b2","series-title":"Linear Programming and Extensions","author":"Dantzig","year":"1963"},{"key":"10.1016\/j.asoc.2025.113237_b3","first-page":"615","article-title":"Distribution of a product by several properties","volume":"2","author":"Schell","year":"1955","journal-title":"Proc. Second. Symp. Linear Program."},{"issue":"4","key":"10.1016\/j.asoc.2025.113237_b4","doi-asserted-by":"crossref","first-page":"448","DOI":"10.1287\/opre.10.4.448","article-title":"The solid transportation problem","volume":"10","author":"Haley","year":"1962","journal-title":"Oper. Res."},{"issue":"4","key":"10.1016\/j.asoc.2025.113237_b5","doi-asserted-by":"crossref","first-page":"471","DOI":"10.1057\/jors.1965.81","article-title":"The existence of a solution to the multi-index problem","volume":"16","author":"Haley","year":"1965","journal-title":"J. Oper. Res. Soc."},{"issue":"2","key":"10.1016\/j.asoc.2025.113237_b6","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1016\/0165-0114(93)90158-E","article-title":"Fuzzy programming approach to multiobjective solid transportation problem","volume":"57","author":"Bit","year":"1993","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/j.asoc.2025.113237_b7","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1016\/j.asoc.2014.10.003","article-title":"Fully fuzzy fixed charge multi-item solid transportation problem","volume":"27","author":"Giri","year":"2015","journal-title":"Appl. Soft Comput."},{"issue":"5","key":"10.1016\/j.asoc.2025.113237_b8","first-page":"531","article-title":"Uncertain multi-objective multi-product solid transportation problems","volume":"41","author":"Rani","year":"2016","journal-title":"Sadhana - Acad. Proc. Eng. Sci."},{"issue":"4","key":"10.1016\/j.asoc.2025.113237_b9","doi-asserted-by":"crossref","first-page":"716","DOI":"10.1007\/s40815-015-0081-9","article-title":"A fuzzy set-based approach to multi-objective multi-item solid transportation problem under uncertainty","volume":"18","author":"Dalman","year":"2016","journal-title":"Int. J. Fuzzy Syst."},{"issue":"1","key":"10.1016\/j.asoc.2025.113237_b10","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1007\/s12652-017-0535-z","article-title":"An entropy based solid transportation problem in uncertain environment","volume":"10","author":"Chen","year":"2019","journal-title":"J. Ambient. Intell. Humaniz. Comput."},{"issue":"2","key":"10.1016\/j.asoc.2025.113237_b11","doi-asserted-by":"crossref","first-page":"1009","DOI":"10.1007\/s40747-020-00251-3","article-title":"Multi-objective fully intuitionistic fuzzy fixed-charge solid transportation problem","volume":"7","author":"Ghosh","year":"2021","journal-title":"Complex Intell. Syst."},{"issue":"3","key":"10.1016\/j.asoc.2025.113237_b12","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","article-title":"Fuzzy sets","volume":"8","author":"Zadeh","year":"1965","journal-title":"Inf. Control"},{"issue":"1","key":"10.1016\/j.asoc.2025.113237_b13","doi-asserted-by":"crossref","first-page":"5770","DOI":"10.1038\/s41598-024-56252-6","article-title":"Entropy for q-rung linear diophantine fuzzy hypersoft set with its application in MADM","volume":"14","author":"Surya","year":"2024","journal-title":"Sci. Rep."},{"key":"10.1016\/j.asoc.2025.113237_b14","doi-asserted-by":"crossref","DOI":"10.1016\/j.asoc.2022.109636","article-title":"A type-3 fuzzy control for current sharing and voltage balancing in microgrids","volume":"129","author":"Taghieh","year":"2022","journal-title":"Appl. Soft Comput."},{"key":"10.1016\/j.asoc.2025.113237_b15","doi-asserted-by":"crossref","first-page":"196075","DOI":"10.1109\/ACCESS.2020.3034626","article-title":"A novel applications of complex intuitionistic fuzzy sets in group theory","volume":"8","author":"Gulzar","year":"2020","journal-title":"IEEE Access"},{"issue":"1","key":"10.1016\/j.asoc.2025.113237_b16","article-title":"An effective method of analysing student performance using fuzzy numbers","volume":"2024","author":"Revathi","year":"2024","journal-title":"Adv. Fuzzy Syst."},{"key":"10.1016\/j.asoc.2025.113237_b17","series-title":"Fuzzy Optimization, Decision-Making and Operations Research: Theory and Applications","first-page":"219","article-title":"Generalized neutrosophic sets and their applications for aggregated operators based on diagnostic disease problem","author":"Palanikumar","year":"2023"},{"key":"10.1016\/j.asoc.2025.113237_b18","doi-asserted-by":"crossref","first-page":"126931","DOI":"10.1109\/ACCESS.2022.3225462","article-title":"Fuzzy theory in fog computing: review, taxonomy, and open issues","volume":"10","author":"Al-Araji","year":"2022","journal-title":"IEEE Access"},{"issue":"1","key":"10.1016\/j.asoc.2025.113237_b19","doi-asserted-by":"crossref","first-page":"298","DOI":"10.1007\/s44196-024-00706-2","article-title":"On study of multiset dimension in fuzzy zero divisor graphs associated with commutative rings","volume":"17","author":"Ali","year":"2024","journal-title":"Int. J. Comput. Intell. Syst."},{"issue":"3","key":"10.1016\/j.asoc.2025.113237_b20","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1016\/0165-0114(84)90057-5","article-title":"A fuzzy approach to the transportation problem","volume":"13","author":"Chanas","year":"1984","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/j.asoc.2025.113237_b21","doi-asserted-by":"crossref","first-page":"160","DOI":"10.1016\/j.cie.2014.03.001","article-title":"Fuzzy stochastic solid transportation problem using fuzzy goal programming approach","volume":"72","author":"Giri","year":"2014","journal-title":"Comput. Ind. Eng."},{"issue":"1","key":"10.1016\/j.asoc.2025.113237_b22","first-page":"75","article-title":"A solution approach for solving fully fuzzy multiobjective solid transportation problem","volume":"13","author":"Jalil","year":"2017","journal-title":"Int. J. Agric. Stat. Sci."},{"issue":"2","key":"10.1016\/j.asoc.2025.113237_b23","first-page":"59","article-title":"An effective computational attempt for solving fully fuzzy linear programming using MOLP problem","volume":"36","author":"Ebrahimnejad","year":"2019","journal-title":"J. Ind. Prod. Eng."},{"issue":"2","key":"10.1016\/j.asoc.2025.113237_b24","first-page":"1991","article-title":"A multi-objective multi-item solid transportation problem with vehicle cost, volume and weight capacity under fuzzy environment","volume":"35","author":"Kar","year":"2018","journal-title":"J. Intell. Fuzzy Systems"},{"issue":"7","key":"10.1016\/j.asoc.2025.113237_b25","doi-asserted-by":"crossref","first-page":"9469","DOI":"10.1007\/s12652-023-04614-9","article-title":"Two-stage multi-item 4-dimensional transportation problem with fuzzy risk and substitution","volume":"14","author":"Devnath","year":"2023","journal-title":"J. Ambient. Intell. Humaniz. Comput."},{"key":"10.1016\/j.asoc.2025.113237_b26","first-page":"1","article-title":"Fully fuzzy multi-item two-stage fixed charge four-dimensional transportation problems with flexible constraints","author":"Devnath","year":"2022","journal-title":"Granul. Comput."},{"key":"10.1016\/j.asoc.2025.113237_b27","article-title":"Four-dimensional uncertain multi-objective multi-item transportation problem","volume":"32","author":"Kakran","year":"2022","journal-title":"Oper. Res. Decis."},{"key":"10.1016\/j.asoc.2025.113237_b28","doi-asserted-by":"crossref","first-page":"364","DOI":"10.1016\/j.asoc.2018.06.037","article-title":"Multi-item 4D-TPs under budget constraint using rough interval","volume":"71","author":"Bera","year":"2018","journal-title":"Appl. Soft Comput. J."},{"key":"10.1016\/j.asoc.2025.113237_b29","doi-asserted-by":"crossref","first-page":"128","DOI":"10.1016\/j.ins.2020.03.050","article-title":"Fixed charge 4D-TP for a breakable item under hybrid random type-2 uncertain environments","volume":"527","author":"Bera","year":"2020","journal-title":"Inform. Sci."},{"issue":"15","key":"10.1016\/j.asoc.2025.113237_b30","doi-asserted-by":"crossref","first-page":"11937","DOI":"10.1007\/s00521-019-04675-y","article-title":"Novel multi-objective, multi-item and four-dimensional transportation problem with vehicle speed in LR-type intuitionistic fuzzy environment","volume":"32","author":"Samanta","year":"2020","journal-title":"Neural Comput. Appl."},{"key":"10.1016\/j.asoc.2025.113237_b31","doi-asserted-by":"crossref","DOI":"10.1016\/j.jclepro.2023.137661","article-title":"A solution approach for sustainable multi-objective multi-item 4D solid transportation problem involving triangular intuitionistic fuzzy parameters","volume":"414","author":"Bind","year":"2023","journal-title":"J. Clean. Prod."},{"key":"10.1016\/j.asoc.2025.113237_b32","doi-asserted-by":"crossref","DOI":"10.1016\/j.engappai.2024.109084","article-title":"New strategy for solving multi-objective green four dimensional transportation problems under normal type-2 uncertain environment","volume":"137","author":"Bind","year":"2024","journal-title":"Eng. Appl. Artif. Intell."},{"key":"10.1016\/j.asoc.2025.113237_b33","doi-asserted-by":"crossref","DOI":"10.1016\/j.asoc.2020.106589","article-title":"Application of random triangular and Gaussian type-2 fuzzy variable to solve fixed charge multi-item four dimensional transportation problem","volume":"96","author":"Jana","year":"2020","journal-title":"Appl. Soft Comput."},{"key":"10.1016\/j.asoc.2025.113237_b34","doi-asserted-by":"crossref","DOI":"10.1016\/j.aei.2023.102222","article-title":"Fixed charge 4-dimensional transportation problem for breakable incompatible items with type-2 fuzzy random parameters under volume constraint","volume":"58","author":"Aktar","year":"2023","journal-title":"Adv. Eng. Informatics"},{"issue":"16","key":"10.1016\/j.asoc.2025.113237_b35","doi-asserted-by":"crossref","first-page":"11603","DOI":"10.1007\/s00500-023-08204-x","article-title":"Multi-dimensional transportation problems in multiple environments: a simulation based heuristic approach","volume":"27","author":"Pal","year":"2023","journal-title":"Soft Comput."},{"issue":"1","key":"10.1016\/j.asoc.2025.113237_b36","article-title":"Mapping connectivity patterns: Degree-based topological indices of corona product graphs","volume":"2023","author":"Ali","year":"2023","journal-title":"J. Appl. Math."},{"key":"10.1016\/j.asoc.2025.113237_b37","first-page":"Article","article-title":"Mathematical analysis of zika virus transmission: exploring semi-analytical solutions and effective controls","volume":"2024","author":"Dharmalingam","year":"2024","journal-title":"Commun. Math. Biol. Neurosci."},{"issue":"1","key":"10.1016\/j.asoc.2025.113237_b38","doi-asserted-by":"crossref","first-page":"33","DOI":"10.31181\/sor1120243","article-title":"Optimizing vendor-managed inventory in multi-tier distribution systems","volume":"1","author":"Badi","year":"2024","journal-title":"Spectr. Oper. Res."},{"issue":"1","key":"10.1016\/j.asoc.2025.113237_b39","doi-asserted-by":"crossref","first-page":"38","DOI":"10.1287\/mnsc.4.1.38","article-title":"Management models and industrial applications of linear programming","volume":"4","author":"Charnes","year":"1957","journal-title":"Manag. Sci."},{"issue":"1","key":"10.1016\/j.asoc.2025.113237_b40","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1016\/0165-0114(78)90031-3","article-title":"Fuzzy programming and linear programming with several objective functions","volume":"1","author":"Zimmermann","year":"1978","journal-title":"Fuzzy Sets and Systems"},{"issue":"3","key":"10.1016\/j.asoc.2025.113237_b41","doi-asserted-by":"crossref","first-page":"537","DOI":"10.1287\/opre.15.3.537","article-title":"Additive utilities with incomplete product sets: Application to priorities and assignments","volume":"15","author":"Fishburn","year":"1967","journal-title":"Oper. Res."},{"issue":"1\u20133","key":"10.1016\/j.asoc.2025.113237_b42","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1016\/0004-3702(89)90050-7","article-title":"Classifier systems and genetic algorithms","volume":"40","author":"Booker","year":"1989","journal-title":"Artificial Intelligence"},{"issue":"1","key":"10.1016\/j.asoc.2025.113237_b43","first-page":"19","article-title":"Jaya: A simple and new optimization algorithm for solving constrained and unconstrained optimization problems","volume":"7","author":"Rao","year":"2016","journal-title":"Int. J. Ind. Eng. Comput."},{"key":"10.1016\/j.asoc.2025.113237_b44","doi-asserted-by":"crossref","unstructured":"J. Kennedy, R. Eberhart, Particle swarm optimization, in: IEEE International Conference on Neural Networks - Conference Proceedings, 1995, http:\/\/dx.doi.org\/10.1109\/ICNN.1995.488968.","DOI":"10.1109\/ICNN.1995.488968"},{"issue":"1","key":"10.1016\/j.asoc.2025.113237_b45","doi-asserted-by":"crossref","first-page":"92","DOI":"10.31181\/sor21202510","article-title":"Gain-based green ant colony optimization for 3d path planning on remote sensing images","volume":"2","author":"Viswanathan","year":"2025","journal-title":"Spectr. Oper. Res."},{"key":"10.1016\/j.asoc.2025.113237_b46","first-page":"16","article-title":"Positive feedback as a search strategy","author":"Dorigo","year":"1991","journal-title":"Tech. Rep."},{"key":"10.1016\/j.asoc.2025.113237_b47","first-page":"671","article-title":"Optimization by simulated annealing","volume":"200","author":"Gelatt","year":"1983","journal-title":"Science"},{"issue":"5","key":"10.1016\/j.asoc.2025.113237_b48","doi-asserted-by":"crossref","first-page":"533","DOI":"10.1016\/0305-0548(86)90048-1","article-title":"Future paths for integer programming and links to artificial intelligence","volume":"13","author":"Glover","year":"1986","journal-title":"Comput. Oper. Res."},{"key":"10.1016\/j.asoc.2025.113237_b49","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1023\/A:1008202821328","article-title":"Differential evolution\u2013a simple and efficient heuristic for global optimization over continuous spaces","volume":"11","author":"Storn","year":"1997","journal-title":"J. Global Optim."},{"issue":"6","key":"10.1016\/j.asoc.2025.113237_b50","doi-asserted-by":"crossref","first-page":"712","DOI":"10.1109\/TEVC.2007.892759","article-title":"MOEA\/D: a multiobjective evolutionary algorithm based on decomposition","volume":"11","author":"Zhang","year":"2007","journal-title":"IEEE Trans. Evol. Comput."},{"key":"10.1016\/j.asoc.2025.113237_b51","article-title":"Adaptation in natural and artificial systems: an introductory analysis with application to biology","author":"Holland","year":"1975","journal-title":"Control. Artif. Intell."},{"issue":"5","key":"10.1016\/j.asoc.2025.113237_b52","doi-asserted-by":"crossref","first-page":"2531","DOI":"10.1007\/s11831-021-09694-4","article-title":"Particle swarm optimization algorithm and its applications: a systematic review","volume":"29","author":"Gad","year":"2022","journal-title":"Arch. Comput. Methods Eng."},{"key":"10.1016\/j.asoc.2025.113237_b53","first-page":"111","article-title":"An ant colony optimization algorithm based on automatic dynamic updating","volume":"Vol. 1","author":"Li-yun","year":"2012"},{"key":"10.1016\/j.asoc.2025.113237_b54","series-title":"Proceedings of MENDEL","first-page":"76","article-title":"On stagnation of the differential evolution algorithm","volume":"Vol. 6","author":"Lampinen","year":"2000"},{"issue":"4","key":"10.1016\/j.asoc.2025.113237_b55","doi-asserted-by":"crossref","first-page":"1455","DOI":"10.1007\/s00158-019-02272-0","article-title":"Many-objective differential evolution optimization based on reference points: NSDE-r","volume":"60","author":"Reddy","year":"2019","journal-title":"Struct. Multidiscip. Optim."},{"key":"10.1016\/j.asoc.2025.113237_b56","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1007\/978-94-011-1804-0_10","article-title":"Genetic algorithms in structural topology optimization","author":"Hajela","year":"1993","journal-title":"Topol. Des. Struct."},{"key":"10.1016\/j.asoc.2025.113237_b57","first-page":"61","article-title":"Multiobjective genetic algorithms","author":"Fonseca","year":"1993","journal-title":"IEE Colloq. Genet. Algorithms Control. Syst. Eng."},{"key":"10.1016\/j.asoc.2025.113237_b58","series-title":"Genetic Algorithms in Search, Optimization and Machine Learning","author":"Goldberg","year":"1989"},{"issue":"3","key":"10.1016\/j.asoc.2025.113237_b59","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1162\/evco.1994.2.3.221","article-title":"Multiobjective optimization using nondominated sorting in genetic algorithms","volume":"2","author":"Srinivas","year":"1994","journal-title":"Evol. Comput."},{"issue":"2","key":"10.1016\/j.asoc.2025.113237_b60","doi-asserted-by":"crossref","first-page":"182","DOI":"10.1109\/4235.996017","article-title":"A fast and elitist multiobjective genetic algorithm: NSGA-II","volume":"6","author":"Deb","year":"2002","journal-title":"IEEE Trans. Evol. Comput."},{"issue":"1","key":"10.1016\/j.asoc.2025.113237_b61","doi-asserted-by":"crossref","first-page":"454","DOI":"10.1109\/TPWRS.2008.2004737","article-title":"Application of NSGA-II algorithm to generation expansion planning","volume":"24","author":"Kannan","year":"2009","journal-title":"IEEE Trans. Power Syst."},{"key":"10.1016\/j.asoc.2025.113237_b62","doi-asserted-by":"crossref","first-page":"188","DOI":"10.1016\/j.asoc.2015.11.010","article-title":"Application of NSGA-II algorithm to the spectrum assignment problem in spectrum sharing networks","volume":"39","author":"Vargas","year":"2016","journal-title":"Appl. Soft Comput. J."},{"key":"10.1016\/j.asoc.2025.113237_b63","doi-asserted-by":"crossref","DOI":"10.1016\/j.epsr.2019.105893","article-title":"Application of NSGA-II algorithm for fault diagnosis in power system","volume":"175","author":"Wang","year":"2019","journal-title":"Electr. Power Syst. Res."},{"issue":"4","key":"10.1016\/j.asoc.2025.113237_b64","doi-asserted-by":"crossref","first-page":"577","DOI":"10.1109\/TEVC.2013.2281535","article-title":"An evolutionary many-objective optimization algorithm using reference-point-based nondominated sorting approach, part I: solving problems with box constraints","volume":"18","author":"Deb","year":"2013","journal-title":"IEEE Trans. Evol. Comput."},{"issue":"1","key":"10.1016\/j.asoc.2025.113237_b65","doi-asserted-by":"crossref","DOI":"10.1080\/23311916.2016.1269383","article-title":"An NSGA-III algorithm for solving multi-objective economic\/environmental dispatch problem","volume":"3","author":"Bhesdadiya","year":"2016","journal-title":"Cogent Eng."},{"key":"10.1016\/j.asoc.2025.113237_b66","first-page":"1","article-title":"High frequency stability constraints based MMC controller design applying NSGA-III algorithm","author":"Ji","year":"2021","journal-title":"CSEE J. Power Energy Syst."},{"issue":"00","key":"10.1016\/j.asoc.2025.113237_b67","first-page":"15","article-title":"Aspiration level-based non-dominated sorting genetic algorithm II & III to solve fuzzy multi-objective shortest path problem","author":"Todkar","year":"2024","journal-title":"Yugosl. J. Oper. Res."},{"issue":"2","key":"10.1016\/j.asoc.2025.113237_b68","doi-asserted-by":"crossref","first-page":"445","DOI":"10.1109\/21.87092","article-title":"A genetic algorithm for the linear transportation problem","volume":"21","author":"Vignaux","year":"1991","journal-title":"IEEE Trans. Syst. Man Cybern."},{"key":"10.1016\/j.asoc.2025.113237_b69","series-title":"Sixth International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems","first-page":"787","article-title":"Interval multiobjective solid transportation problem via genetic algorithms","author":"Jimenez","year":"1996"},{"key":"10.1016\/j.asoc.2025.113237_b70","first-page":"1657","article-title":"Obtaining fuzzy solutions to the fuzzy solid transportation problem with genetic algorithms","volume":"3","author":"Jimenez","year":"1997","journal-title":"IEEE Int. Conf. Fuzzy Syst."},{"key":"10.1016\/j.asoc.2025.113237_b71","doi-asserted-by":"crossref","first-page":"1200","DOI":"10.1109\/ICSMC.1994.400008","article-title":"Solving bicriteria solid transportation problem by genetic algorithm","volume":"2","author":"Gen","year":"1994","journal-title":"Proc. IEEE Int. Conf. Syst. Man Cybern."},{"issue":"1","key":"10.1016\/j.asoc.2025.113237_b72","doi-asserted-by":"crossref","first-page":"100","DOI":"10.1016\/j.asoc.2009.06.016","article-title":"A solid transportation problem for an item with fixed charge, vechicle cost and price discounted varying charge using genetic algorithm","volume":"10","author":"Ojha","year":"2010","journal-title":"Appl. Soft Comput. J."},{"key":"10.1016\/j.asoc.2025.113237_b73","doi-asserted-by":"crossref","DOI":"10.1016\/j.asoc.2022.108501","article-title":"A study of multi-objective restricted multi-item fixed charge transportation problem considering different types of demands","volume":"118","author":"Biswas","year":"2022","journal-title":"Appl. Soft Comput."},{"key":"10.1016\/j.asoc.2025.113237_b74","doi-asserted-by":"crossref","first-page":"628","DOI":"10.1016\/j.asoc.2019.04.011","article-title":"Multi-objective non-linear fixed charge transportation problem with multiple modes of transportation in crisp and interval environments","volume":"80","author":"Biswas","year":"2019","journal-title":"Appl. Soft Comput."},{"issue":"9","key":"10.1016\/j.asoc.2025.113237_b75","doi-asserted-by":"crossref","first-page":"5641","DOI":"10.1007\/s00500-022-07646-z","article-title":"Non-dominated sorting genetic algorithm III with stochastic matrix-based population to solve multi-objective solid transportation problem","volume":"27","author":"Agnihotri","year":"2023","journal-title":"Soft Comput."},{"key":"10.1016\/j.asoc.2025.113237_b76","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1002\/nav.3800150306","article-title":"The fixed charge transportation problem","volume":"15","author":"Hirch","year":"1968","journal-title":"Nav. Res. Logist. Q."},{"key":"10.1016\/j.asoc.2025.113237_b77","doi-asserted-by":"crossref","first-page":"170","DOI":"10.1016\/j.ins.2013.08.005","article-title":"Fixed charge transportation problem with type-2 fuzzy variables","volume":"255","author":"Kundu","year":"2014","journal-title":"Inform. Sci."},{"key":"10.1016\/j.asoc.2025.113237_b78","doi-asserted-by":"crossref","first-page":"160","DOI":"10.1016\/j.cie.2014.03.001","article-title":"Fuzzy stochastic solid transportation problem using fuzzy goal programming approach","volume":"72","author":"Giri","year":"2014","journal-title":"Comput. Ind. Eng."},{"key":"10.1016\/j.asoc.2025.113237_b79","doi-asserted-by":"crossref","first-page":"272","DOI":"10.1016\/j.cie.2017.07.030","article-title":"Some special fixed charge solid transportation problems of substitute and breakable items in crisp and fuzzy environments","volume":"111","author":"Halder","year":"2017","journal-title":"Comput. Ind. Eng."},{"key":"10.1016\/j.asoc.2025.113237_b80","doi-asserted-by":"crossref","DOI":"10.1016\/j.jclepro.2020.122376","article-title":"Green 4D transportation problems with breakable incompatible items under type-2 fuzzy-random environment","volume":"275","author":"Aktar","year":"2020","journal-title":"J. Clean. Prod."},{"issue":"24","key":"10.1016\/j.asoc.2025.113237_b81","doi-asserted-by":"crossref","first-page":"15083","DOI":"10.1007\/s00500-021-06371-3","article-title":"Multi-item two-stage fixed-charge 4DTP with hybrid random type-2 fuzzy variable","volume":"25","author":"Devnath","year":"2021","journal-title":"Soft Comput."},{"key":"10.1016\/j.asoc.2025.113237_b82","doi-asserted-by":"crossref","DOI":"10.1016\/j.cie.2021.107184","article-title":"Multi-objective green 4-dimensional transportation problems for breakable incompatible items with different fixed charge payment policies","volume":"156","author":"Aktar","year":"2021","journal-title":"Comput. Ind. Eng."},{"key":"10.1016\/j.asoc.2025.113237_b83","doi-asserted-by":"crossref","DOI":"10.1016\/j.asoc.2022.109681","article-title":"Multi-objective green 4-dimensional transportation problems for damageable items through type-2 fuzzy random goal programming","volume":"130","author":"Aktar","year":"2022","journal-title":"Appl. Soft Comput."},{"issue":"2","key":"10.1016\/j.asoc.2025.113237_b84","doi-asserted-by":"crossref","first-page":"727","DOI":"10.1007\/s13198-022-01794-z","article-title":"Multi-objective multi-item four dimensional green transportation problem in interval-valued intuitionistic fuzzy environment","volume":"15","author":"Shivani","year":"2024","journal-title":"Int. J. Syst. Assur. Eng. Manag."},{"issue":"11","key":"10.1016\/j.asoc.2025.113237_b85","first-page":"525","article-title":"A new operation on triangular fuzzy number for solving fuzzy linear programming problem","volume":"6","author":"Gani","year":"2012","journal-title":"Appl. Math. Sci."},{"issue":"2","key":"10.1016\/j.asoc.2025.113237_b86","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1016\/0165-0114(92)90318-X","article-title":"A new approach to some possibilistic linear programming problems","volume":"49","author":"Lai","year":"1992","journal-title":"Fuzzy Sets and Systems"},{"issue":"1","key":"10.1016\/j.asoc.2025.113237_b87","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/0165-0114(78)90029-5","article-title":"Fuzzy sets as a basis for a theory of possibility","volume":"1","author":"Zadeh","year":"1978","journal-title":"Fuzzy Sets and Systems"},{"issue":"1","key":"10.1016\/j.asoc.2025.113237_b88","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1109\/TFUZZ.2013.2245134","article-title":"A new possibilistic programming approach for solving fuzzy multiobjective assignment problem","volume":"22","author":"Gupta","year":"2013","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"10.1016\/j.asoc.2025.113237_b89","series-title":"Fuzzy Sets and Systems: Theory and Applications","author":"Dubois","year":"1980"},{"key":"10.1016\/j.asoc.2025.113237_b90","doi-asserted-by":"crossref","first-page":"17291","DOI":"10.1007\/s00500-020-05019-y","article-title":"Uncertain four-dimensional multi-objective multi-item transportation models via GP technique","volume":"24","author":"Sahoo","year":"2020","journal-title":"Soft Comput."},{"key":"10.1016\/j.asoc.2025.113237_b91","first-page":"Article","article-title":"Solving 4D transportation problem using the particle swarm optimization algorithm","volume":"12","author":"Hameed","year":"2022","journal-title":"J. Math. Comput. Sci."},{"key":"10.1016\/j.asoc.2025.113237_b92","first-page":"77","article-title":"Direct representation and variation operators for the fixed charge transportation problem","volume":"Vol. 2439","author":"Eckert","year":"2002"},{"issue":"12","key":"10.1016\/j.asoc.2025.113237_b93","first-page":"2802","article-title":"Solving multi-objective transportation problem by spanning tree-based genetic algorithm","volume":"82","author":"Gen","year":"1999","journal-title":"IEICE Trans. Fundam. Electron. Commun. Comput. Sci."},{"key":"10.1016\/j.asoc.2025.113237_b94","series-title":"Proceedings - 5th International Conference on Fuzzy Systems and Knowledge Discovery","first-page":"208","article-title":"The fuzzy fixed charge transportation problem and genetic algorithm","author":"Liu","year":"2008"},{"key":"10.1016\/j.asoc.2025.113237_b95","series-title":"Introduction To Genetic Algorithms","first-page":"15","article-title":"Genetic algorithms","author":"Sivanandam","year":"2008"},{"key":"10.1016\/j.asoc.2025.113237_b96","article-title":"Multi-objective optimisation using evolutionary algorithms: An introduction","author":"Deb","year":"2001","journal-title":"Multi- Object. Evol. Optim. Prod. Des. Manuf."},{"issue":"3","key":"10.1016\/j.asoc.2025.113237_b97","doi-asserted-by":"crossref","first-page":"631","DOI":"10.1137\/S1052623496307510","article-title":"Normal-boundary intersection: A new method for generating the Pareto surface in nonlinear multicriteria optimization problems","volume":"8","author":"Das","year":"1998","journal-title":"SIAM J. Optim."},{"issue":"5\u20136","key":"10.1016\/j.asoc.2025.113237_b98","doi-asserted-by":"crossref","first-page":"1543","DOI":"10.1016\/j.mcm.2012.12.031","article-title":"Solving a fuzzy fixed charge solid transportation problem by metaheuristics","volume":"57","author":"Molla-Alizadeh-Zavardehi","year":"2013","journal-title":"Math. Comput. Modelling"},{"issue":"Suppl 1","key":"10.1016\/j.asoc.2025.113237_b99","doi-asserted-by":"crossref","first-page":"477","DOI":"10.1007\/s00521-017-3027-3","article-title":"New approaches in metaheuristics to solve the fixed charge transportation problem in a fuzzy environment","volume":"31","author":"Sadeghi-Moghaddam","year":"2019","journal-title":"Neural Comput. Appl."},{"key":"10.1016\/j.asoc.2025.113237_b100","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1016\/j.trd.2016.02.003","article-title":"Green transportation scheduling with pickup time and transport mode selections using a novel multi-objective memetic optimization approach","volume":"60","author":"Guo","year":"2018","journal-title":"Transp. Res. Part D: Transp. Environ."},{"key":"10.1016\/j.asoc.2025.113237_b101","doi-asserted-by":"crossref","first-page":"316","DOI":"10.1016\/j.ijpe.2018.08.018","article-title":"Modelling an environmentally-extended inventory routing problem with demand uncertainty and a heterogeneous fleet under carbon control policies","volume":"204","author":"Micheli","year":"2018","journal-title":"Int. J. Prod. Econ."},{"issue":"11","key":"10.1016\/j.asoc.2025.113237_b102","doi-asserted-by":"crossref","first-page":"2711","DOI":"10.1109\/TFUZZ.2020.3011745","article-title":"Application of type-2 fuzzy logic to a multiobjective green solid transportation\u2013location problem with dwell time under carbon tax, cap, and offset policy: fuzzy versus nonfuzzy techniques","volume":"28","author":"Das","year":"2020","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"10.1016\/j.asoc.2025.113237_b103","doi-asserted-by":"crossref","DOI":"10.1016\/j.asoc.2020.107058","article-title":"An effective chaos-driven differential evolution for multi-objective unbalanced transportation problem considering fuel consumption","volume":"101","author":"Luo","year":"2021","journal-title":"Appl. Soft Comput."},{"issue":"10","key":"10.1016\/j.asoc.2025.113237_b104","doi-asserted-by":"crossref","first-page":"3089","DOI":"10.1007\/s13042-022-01582-y","article-title":"Neutrosophic multi-objective green four-dimensional fixed-charge transportation problem","volume":"13","author":"Giri","year":"2022","journal-title":"Int. J. Mach. Learn. Cybern."},{"key":"10.1016\/j.asoc.2025.113237_b105","doi-asserted-by":"crossref","DOI":"10.1016\/j.jclepro.2019.118428","article-title":"A many-objective gradient evolution algorithm for solving a green vehicle routing problem with time windows and time dependency for perishable products","volume":"242","author":"Zulvia","year":"2020","journal-title":"J. Clean. Prod."},{"issue":"1","key":"10.1016\/j.asoc.2025.113237_b106","doi-asserted-by":"crossref","DOI":"10.1186\/s40064-016-3685-0","article-title":"Genetic algorithm based hybrid approach to solve fuzzy multi-objective assignment problem using exponential membership function","volume":"5","author":"Dhodiya","year":"2016","journal-title":"SpringerPlus"},{"issue":"1","key":"10.1016\/j.asoc.2025.113237_b107","first-page":"1","article-title":"An overview on Taguchi method","volume":"1","author":"Karna","year":"2012","journal-title":"Int. J. Eng. Math. Sci."},{"key":"10.1016\/j.asoc.2025.113237_b108","first-page":"409","article-title":"Multi-objective assignment problems and their solutions by genetic algorithm","volume":"18","author":"Tailor","year":"2021","journal-title":"Model. Optim. Sci. Technol."},{"issue":"2","key":"10.1016\/j.asoc.2025.113237_b109","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1108\/02644401011022382","article-title":"Some improvement to the mutation donor of differential evolution","volume":"27","author":"Fan","year":"2010","journal-title":"Eng. Comput."},{"key":"10.1016\/j.asoc.2025.113237_b110","series-title":"Jaya: An Advanced Optimization Algorithm and Its Engineering Applications","author":"Rao","year":"2019"},{"key":"10.1016\/j.asoc.2025.113237_b111","series-title":"Multiobjective Evolutionary Algorithm Research: A History and Analysis","author":"Van Veldhuizen","year":"1998"},{"key":"10.1016\/j.asoc.2025.113237_b112","series-title":"Parallel Problem Solving from Nature-PPSN VIII: 8th International Conference, Birmingham, UK, September 18-22, 2004. Proceedings 8","first-page":"742","article-title":"SPEA2+: Improving the performance of the strength Pareto evolutionary algorithm 2","author":"Kim","year":"2004"}],"container-title":["Applied Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1568494625005484?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1568494625005484?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2025,6,4]],"date-time":"2025-06-04T23:14:56Z","timestamp":1749078896000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S1568494625005484"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,6]]},"references-count":112,"alternative-id":["S1568494625005484"],"URL":"https:\/\/doi.org\/10.1016\/j.asoc.2025.113237","relation":{},"ISSN":["1568-4946"],"issn-type":[{"value":"1568-4946","type":"print"}],"subject":[],"published":{"date-parts":[[2025,6]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Fuzzy multi-objective multi-item five dimensional transportation problem: A case study of milk transportation problem","name":"articletitle","label":"Article Title"},{"value":"Applied Soft Computing","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.asoc.2025.113237","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2025 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"113237"}}