{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,6]],"date-time":"2026-05-06T21:13:15Z","timestamp":1778101995454,"version":"3.51.4"},"reference-count":49,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Engineering Applications of Artificial Intelligence"],"published-print":{"date-parts":[[2026,7]]},"DOI":"10.1016\/j.engappai.2026.114688","type":"journal-article","created":{"date-parts":[[2026,4,10]],"date-time":"2026-04-10T12:16:23Z","timestamp":1775823383000},"page":"114688","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"P2","title":["Hesitant fuzzy programming strategies for solving multi-objective neutrosophic fractional stochastic transportation problem"],"prefix":"10.1016","volume":"176","author":[{"given":"Anesh","family":"Kumar","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9258-3132","authenticated-orcid":false,"given":"Pitam","family":"Singh","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/j.engappai.2026.114688_b1","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1007\/s13198-018-0738-5","article-title":"Multi-objective linear fractional inventory problem under intuitionistic fuzzy environment","volume":"10","author":"Ali","year":"2019","journal-title":"Int. J. Syst. Assur. Eng. Manag."},{"key":"10.1016\/j.engappai.2026.114688_b2","first-page":"1","article-title":"A fermatean fuzzy programming approach to unfold the solid transportation problem: an integrated multi-objective optimization","author":"Ali","year":"2025","journal-title":"Opsearch"},{"issue":"1","key":"10.1016\/j.engappai.2026.114688_b3","doi-asserted-by":"crossref","first-page":"864","DOI":"10.1080\/16583655.2019.1651520","article-title":"Goal programming approach to fully fuzzy fractional transportation problem","volume":"13","author":"Anukokila","year":"2019","journal-title":"J. Taibah Univ. Sci."},{"key":"10.1016\/j.engappai.2026.114688_b4","first-page":"1","article-title":"An aspect of bilevel interval linear fractional transportation problem with disparate flows: a fuzzy programming approach","author":"Arora","year":"2023","journal-title":"Int. J. Syst. Assur. Eng. Manag."},{"key":"10.1016\/j.engappai.2026.114688_b5","first-page":"1","article-title":"Intuitionistic fuzzy sets","author":"Atanassov","year":"1999","journal-title":"Intuitionistic Fuzzy Sets: Theory Appl."},{"issue":"4","key":"10.1016\/j.engappai.2026.114688_b6","first-page":"B","article-title":"Decision-making in a fuzzy environment","volume":"17","author":"Bellman","year":"1970","journal-title":"Manag. Sci."},{"issue":"11","key":"10.1016\/j.engappai.2026.114688_b7","doi-asserted-by":"crossref","first-page":"11525","DOI":"10.1007\/s00500-022-07408-x","article-title":"Mehar approach to solve fuzzy linear fractional transportation problems","volume":"26","author":"Bhatia","year":"2022","journal-title":"Soft Comput."},{"key":"10.1016\/j.engappai.2026.114688_b8","doi-asserted-by":"crossref","first-page":"156","DOI":"10.1007\/s12597-014-0175-4","article-title":"Multi-objective interval fractional programming problems: an approach for obtaining efficient solutions","volume":"52","author":"Bhurjee","year":"2015","journal-title":"Opsearch"},{"key":"10.1016\/j.engappai.2026.114688_b9","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.engappai.2026.114688_b10","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1007\/s00500-003-0263-5","article-title":"Uncertain probabilities II: the continuous case","volume":"8","author":"Buckley","year":"2004","journal-title":"Soft Comput."},{"issue":"1","key":"10.1016\/j.engappai.2026.114688_b11","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1287\/mnsc.1.1.49","article-title":"The stepping stone method of explaining linear programming calculations in transportation problems","volume":"1","author":"Charnes","year":"1954","journal-title":"Manag. Sci."},{"key":"10.1016\/j.engappai.2026.114688_b12","doi-asserted-by":"crossref","first-page":"367","DOI":"10.1016\/j.jocs.2017.12.004","article-title":"A proposed model for solving fuzzy linear fractional programming problem: Numerical point of view","volume":"25","author":"Das","year":"2018","journal-title":"J. Comput. Sci."},{"issue":"4","key":"10.1016\/j.engappai.2026.114688_b13","doi-asserted-by":"crossref","first-page":"1309","DOI":"10.1007\/s13042-016-0505-3","article-title":"A ranking method of single valued neutrosophic numbers and its applications to multi-attribute decision making problems","volume":"8","author":"Deli","year":"2017","journal-title":"Int. J. Mach. Learn. Cybern."},{"key":"10.1016\/j.engappai.2026.114688_b14","first-page":"1","article-title":"Multi-choice fractional stochastic multi-objective transportation problem","author":"El. Sayed","year":"2023","journal-title":"Soft Comput."},{"key":"10.1016\/j.engappai.2026.114688_b15","doi-asserted-by":"crossref","unstructured":"Gessesse, A.A., Mishra, R., 2020. Multi-objective linear fractional stochastic transportation problems involving logistic distribution. In: International Conference on Automation, Signal Processing, Instrumentation and Control. pp. 2291\u20132299.","DOI":"10.1007\/978-981-15-8221-9_214"},{"issue":"1","key":"10.1016\/j.engappai.2026.114688_b16","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1007\/s13198-019-00928-0","article-title":"Genetic algorithm based fuzzy programming approach for multi-objective linear fractional stochastic transportation problem involving four-parameter Burr distribution","volume":"11","author":"Gessesse","year":"2020","journal-title":"Int. J. Syst. Assur. Eng. Manag."},{"issue":"10","key":"10.1016\/j.engappai.2026.114688_b17","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."},{"issue":"3","key":"10.1016\/j.engappai.2026.114688_b18","doi-asserted-by":"crossref","first-page":"1091","DOI":"10.1007\/s12597-019-00367-2","article-title":"Optimization of fuzzy bi-objective fractional assignment problem","volume":"56","author":"Gupta","year":"2019","journal-title":"Opsearch"},{"issue":"4","key":"10.1016\/j.engappai.2026.114688_b19","doi-asserted-by":"crossref","first-page":"375","DOI":"10.1080\/02331939308843896","article-title":"A paradox in linear fractional transportation problems with mixed constraints","volume":"27","author":"Gupta","year":"1993","journal-title":"Optimization"},{"key":"10.1016\/j.engappai.2026.114688_b20","article-title":"Single valued neutrosophic sets","volume":"12","author":"Haibin","year":"2010","journal-title":"Infin. Study"},{"issue":"1\u20134","key":"10.1016\/j.engappai.2026.114688_b21","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."},{"issue":"1","key":"10.1016\/j.engappai.2026.114688_b22","first-page":"11","article-title":"A model for uncertain multi-objective transportation problem with fractional objectives","volume":"14","author":"Javaid","year":"2017","journal-title":"Int. J. Oper. Res. (Taichung)"},{"issue":"2","key":"10.1016\/j.engappai.2026.114688_b23","first-page":"3","article-title":"Linear fractional transportation problem with varying demand and supply","volume":"66","author":"Joshi","year":"2011","journal-title":"Matematiche (Catania)"},{"issue":"2","key":"10.1016\/j.engappai.2026.114688_b24","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1080\/09720502.2006.10700450","article-title":"The sum of a linear and a linear fractional transportation problem with restricted and enhanced flow","volume":"9","author":"Khurana","year":"2006","journal-title":"J. Interdiscip. Math."},{"issue":"2","key":"10.1016\/j.engappai.2026.114688_b25","doi-asserted-by":"crossref","first-page":"100","DOI":"10.26599\/FIE.2023.9270011","article-title":"Fermatean hesitant fuzzy sets for multiple criteria decision-making with applications","volume":"15","author":"Kiri\u015fci","year":"2023","journal-title":"Fuzzy Inf. Eng."},{"key":"10.1016\/j.engappai.2026.114688_b26","first-page":"136","article-title":"Optimum utilization of the transportation system","author":"Koopmans","year":"1949","journal-title":"Econ.: J. Econ. Soc."},{"key":"10.1016\/j.engappai.2026.114688_b27","doi-asserted-by":"crossref","DOI":"10.1016\/j.engappai.2024.109903","article-title":"Exponential neutrosophic programming contrivance in multiple criteria for type-2 uncertain multi-objective transportation problem","volume":"143","author":"Kumar","year":"2025","journal-title":"Eng. Appl. Artif. Intell."},{"key":"10.1016\/j.engappai.2026.114688_b28","doi-asserted-by":"crossref","DOI":"10.1016\/j.asoc.2023.110949","article-title":"Neutrosophic hyperbolic programming strategy for uncertain multi-objective transportation problem","volume":"149","author":"Kumar","year":"2023","journal-title":"Appl. Soft Comput."},{"issue":"4","key":"10.1016\/j.engappai.2026.114688_b29","doi-asserted-by":"crossref","first-page":"2230","DOI":"10.1016\/j.apm.2012.04.024","article-title":"Multi-choice stochastic transportation problem involving extreme value distribution","volume":"37","author":"Mahapatra","year":"2013","journal-title":"Appl. Math. Model."},{"issue":"3","key":"10.1016\/j.engappai.2026.114688_b30","doi-asserted-by":"crossref","first-page":"393","DOI":"10.1080\/0952813X.2018.1552318","article-title":"Modelling linear fractional transportation problem in belief degree-based uncertain environment","volume":"31","author":"Mahmoodirada","year":"2019","journal-title":"J. Exp. Theor. Artif. Intell."},{"issue":"8","key":"10.1016\/j.engappai.2026.114688_b31","doi-asserted-by":"crossref","first-page":"3544","DOI":"10.1007\/s40815-022-01348-2","article-title":"An application of fully intuitionistic fuzzy multi-objective linear fractional programming problem in E-education system","volume":"24","author":"Malik","year":"2022","journal-title":"Int. J. Fuzzy Syst."},{"key":"10.1016\/j.engappai.2026.114688_b32","doi-asserted-by":"crossref","first-page":"457","DOI":"10.1016\/j.ins.2023.01.044","article-title":"A new method for intuitionistic fuzzy multi-objective linear fractional optimization problem and its application in agricultural land allocation problem","volume":"625","author":"Moges","year":"2023","journal-title":"Inform. Sci."},{"key":"10.1016\/j.engappai.2026.114688_b33","article-title":"Neutrosophic integer programming problem","author":"Mohamed","year":"2017","journal-title":"Infin. Study"},{"key":"10.1016\/j.engappai.2026.114688_b34","series-title":"Methods and Applications of Interval Analysis","author":"Moore","year":"1979"},{"issue":"3","key":"10.1016\/j.engappai.2026.114688_b35","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1016\/j.fiae.2014.12.006","article-title":"Fractional goal programming for fuzzy solid transportation problem with interval cost","volume":"6","author":"Radhakrishnan","year":"2014","journal-title":"Fuzzy Inf. Eng."},{"key":"10.1016\/j.engappai.2026.114688_b36","first-page":"1","article-title":"A neutrosophic multi-objective multi-item 4-dimensional fractional transportation problem","author":"Revathi","year":"2025","journal-title":"Arab. J. Math."},{"key":"10.1016\/j.engappai.2026.114688_b37","doi-asserted-by":"crossref","first-page":"663","DOI":"10.1007\/s12652-019-01377-0","article-title":"Fermatean fuzzy sets","volume":"11","author":"Senapati","year":"2020","journal-title":"J. Ambient. Intell. Humaniz. Comput."},{"key":"10.1016\/j.engappai.2026.114688_b38","doi-asserted-by":"crossref","DOI":"10.1016\/j.asoc.2023.111102","article-title":"A green 4-dimensional multi objective transportation system for disaster relief operations under time-sequential complex fermatean framework with safety measure","volume":"151","author":"Sharma","year":"2024","journal-title":"Appl. Soft Comput."},{"issue":"6","key":"10.1016\/j.engappai.2026.114688_b39","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s40314-023-02400-z","article-title":"On solving fully rough multi-objective fractional transportation problem: development and prospects","volume":"42","author":"Shivani","year":"2023","journal-title":"Comput. Appl. Math."},{"issue":"5","key":"10.1016\/j.engappai.2026.114688_b40","first-page":"421","article-title":"Multiple-objective fractional costs transportation problem with bottleneck time and impurities","volume":"36","author":"Singh","year":"2015","journal-title":"J. Inf. Optim. Sci."},{"issue":"3","key":"10.1016\/j.engappai.2026.114688_b41","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s40314-022-01798-2","article-title":"Scalarizing fuzzy multi-objective linear fractional programming with application","volume":"41","author":"Singh","year":"2022","journal-title":"Comput. Appl. Math."},{"key":"10.1016\/j.engappai.2026.114688_b42","series-title":"Neutrosophy: Neutrosophic Probability, Set, and Logic: Analytic Synthesis & Synthetic Analysis","author":"Smarandache","year":"1998"},{"key":"10.1016\/j.engappai.2026.114688_b43","article-title":"Introduction to neutrosophic measure, neutrosophic integral, and neutrosophic probability","author":"Smarandache","year":"2013","journal-title":"Infin. Study"},{"issue":"5","key":"10.1016\/j.engappai.2026.114688_b44","first-page":"256","article-title":"Transportation technique in linear fractional functional programming","volume":"21","author":"Swarup","year":"1966","journal-title":"J. R. Nav. Sci. Serv."},{"issue":"2","key":"10.1016\/j.engappai.2026.114688_b45","doi-asserted-by":"crossref","first-page":"2525","DOI":"10.1016\/j.aej.2020.12.039","article-title":"Goal programming tactic for uncertain multi-objective transportation problem using fuzzy linear membership function","volume":"60","author":"Uddin","year":"2021","journal-title":"Alex. Eng. J."},{"issue":"3","key":"10.1016\/j.engappai.2026.114688_b46","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1016\/j.ijar.2010.09.002","article-title":"Hesitant fuzzy information aggregation in decision making","volume":"52","author":"Xia","year":"2011","journal-title":"Internat. J. Approx. Reason."},{"issue":"1","key":"10.1016\/j.engappai.2026.114688_b47","first-page":"23","article-title":"Multiple-attribute decision-making method under a single-valued neutrosophic hesitant fuzzy environment","volume":"24","author":"Ye","year":"2015","journal-title":"J. Intell. Syst."},{"issue":"3","key":"10.1016\/j.engappai.2026.114688_b48","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.engappai.2026.114688_b49","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"}],"container-title":["Engineering Applications of Artificial Intelligence"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S095219762600970X?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S095219762600970X?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,5,6]],"date-time":"2026-05-06T20:34:06Z","timestamp":1778099646000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S095219762600970X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,7]]},"references-count":49,"alternative-id":["S095219762600970X"],"URL":"https:\/\/doi.org\/10.1016\/j.engappai.2026.114688","relation":{},"ISSN":["0952-1976"],"issn-type":[{"value":"0952-1976","type":"print"}],"subject":[],"published":{"date-parts":[[2026,7]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Hesitant fuzzy programming strategies for solving multi-objective neutrosophic fractional stochastic transportation problem","name":"articletitle","label":"Article Title"},{"value":"Engineering Applications of Artificial Intelligence","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.engappai.2026.114688","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"114688"}}