{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,14]],"date-time":"2026-04-14T13:26:08Z","timestamp":1776173168833,"version":"3.50.1"},"reference-count":33,"publisher":"Springer Science and Business Media LLC","issue":"12","license":[{"start":{"date-parts":[[2018,3,12]],"date-time":"2018-03-12T00:00:00Z","timestamp":1520812800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2019,6]]},"DOI":"10.1007\/s00500-018-3115-z","type":"journal-article","created":{"date-parts":[[2018,3,12]],"date-time":"2018-03-12T06:58:16Z","timestamp":1520837896000},"page":"4521-4530","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":70,"title":["A new effective solution method for fully intuitionistic fuzzy transportation problem"],"prefix":"10.1007","volume":"23","author":[{"given":"Ali","family":"Mahmoodirad","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3929-9762","authenticated-orcid":false,"given":"Tofigh","family":"Allahviranloo","sequence":"additional","affiliation":[]},{"given":"Sadegh","family":"Niroomand","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,3,12]]},"reference":[{"issue":"6","key":"3115_CR1","doi-asserted-by":"publisher","first-page":"1904","DOI":"10.1007\/s40815-016-0292-8","volume":"19","author":"S Aggarwal","year":"2017","unstructured":"Aggarwal S, Gupta C (2017) Sensitivity analysis of intuitionistic fuzzy solid transportation problem. Int J Fuzzy Syst 19(6):1904\u20131915","journal-title":"Int J Fuzzy Syst"},{"key":"3115_CR2","doi-asserted-by":"publisher","first-page":"391","DOI":"10.1007\/s10479-007-0207-z","volume":"155","author":"MDL Asunci\u00f3n","year":"2007","unstructured":"Asunci\u00f3n MDL, Castillo L, Olivares JF, P\u00e9rez OG, Gonz\u00e1lez A, Palao F (2007) Handling fuzzy temporal constraints in a planning environment. Ann Oper Res 155:391\u2013415","journal-title":"Ann Oper Res"},{"key":"3115_CR3","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1016\/S0165-0114(86)80034-3","volume":"20","author":"KT Atanassov","year":"1986","unstructured":"Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87\u201396","journal-title":"Fuzzy Sets Syst"},{"issue":"32","key":"3115_CR4","first-page":"1549","volume":"5","author":"H Basirzadeh","year":"2011","unstructured":"Basirzadeh H (2011) An approach for solving fuzzy transportation problem. Appl Math Sci 5(32):1549\u20131566","journal-title":"Appl Math Sci"},{"issue":"B","key":"3115_CR5","doi-asserted-by":"publisher","first-page":"141","DOI":"10.1287\/mnsc.17.4.B141","volume":"17","author":"R Bellman","year":"1970","unstructured":"Bellman R, Zadeh LA (1970) Decision making in fuzzy environment. Manag Sci 17(B):141\u2013164","journal-title":"Manag Sci"},{"key":"3115_CR6","doi-asserted-by":"publisher","first-page":"301","DOI":"10.1007\/s10479-006-0008-9","volume":"144","author":"E Cascetta","year":"2006","unstructured":"Cascetta E, Gallo M, Montella B (2006) Models and algorithms for the optimization of signal settings on urban networks with stochastic assignment models. Ann Oper Res 144:301\u2013328","journal-title":"Ann Oper Res"},{"key":"3115_CR7","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-017-2491-0","author":"A Das","year":"2017","unstructured":"Das A, Bera UK, Maiti M (2017) Defuzzification and application of trapezoidal type-2 fuzzy variables to green solid transportation problem. Soft Comput. \n                    https:\/\/doi.org\/10.1007\/s00500-017-2491-0","journal-title":"Soft Comput"},{"key":"3115_CR8","doi-asserted-by":"publisher","DOI":"10.1007\/s10479-013-1476-3","author":"SK De","year":"2013","unstructured":"De SK, Sana SS (2013) Backlogging EOQ model for promotional effort and selling price sensitive demand: an intuitionistic fuzzy approach. Ann Oper Res. \n                    https:\/\/doi.org\/10.1007\/s10479-013-1476-3","journal-title":"Ann Oper Res"},{"key":"3115_CR9","doi-asserted-by":"crossref","unstructured":"Dempe S, Starostina T (2006) Optimal toll charges in a fuzzy flow problem. In: Proceedings of the international conference 9th fuzzy days in Dortmund, Germany, Sept 18\u201320","DOI":"10.1007\/3-540-34783-6_41"},{"issue":"3","key":"3115_CR10","first-page":"93","volume":"12","author":"DS Dinager","year":"2009","unstructured":"Dinager DS, Palanivel K (2009) The transportation problem in fuzzy environment. Int J Algorithm Comput Math 12(3):93\u2013106","journal-title":"Int J Algorithm Comput Math"},{"key":"3115_CR11","doi-asserted-by":"publisher","first-page":"305","DOI":"10.1007\/s10479-006-7390-1","volume":"143","author":"K Ganesan","year":"2006","unstructured":"Ganesan K, Veeramani P (2006) Fuzzy linear programs with trapezoidal fuzzy numbers. Ann Oper Res 143:305\u2013315","journal-title":"Ann Oper Res"},{"issue":"5","key":"3115_CR12","doi-asserted-by":"publisher","first-page":"1129","DOI":"10.1007\/s00500-015-1843-x","volume":"21","author":"Y He","year":"2017","unstructured":"He Y, He Z, Huang H (2017) Decision making with the generalized intuitionistic fuzzy power interaction averaging operators. Soft Comput 21(5):1129\u20131144","journal-title":"Soft Comput"},{"issue":"7","key":"3115_CR13","doi-asserted-by":"publisher","first-page":"3151","DOI":"10.1016\/j.apm.2008.10.020","volume":"33","author":"F Hosseinzadeh Lotfi","year":"2009","unstructured":"Hosseinzadeh Lotfi F, Allahviranloo T, Alimardani Jondabeh M, Alizadeh L (2009) Solving a full fuzzy linear programming using lexicography method and fuzzy approximate solution. Appl Math Model 33(7):3151\u20133156","journal-title":"Appl Math Model"},{"key":"3115_CR14","doi-asserted-by":"publisher","first-page":"1201","DOI":"10.1016\/j.asoc.2011.10.014","volume":"12","author":"A Kaur","year":"2012","unstructured":"Kaur A, Kumar A (2012) A new approach for solving fuzzy transportation problem using generalized trapezoidal fuzzy number. Appl Soft Comput 12:1201\u20131213","journal-title":"Appl Soft Comput"},{"key":"3115_CR15","doi-asserted-by":"publisher","DOI":"10.1007\/s13198-014-0334-2","author":"PS Kumar","year":"2014","unstructured":"Kumar PS, Hussain RJ (2014) Computationally simple approach for solving fully intuitionistic fuzzy real life transportation problems. Int J Syst Assur Eng Manag. \n                    https:\/\/doi.org\/10.1007\/s13198-014-0334-2","journal-title":"Int J Syst Assur Eng Manag"},{"issue":"9","key":"3115_CR16","doi-asserted-by":"publisher","first-page":"3629","DOI":"10.1007\/s00500-015-1722-5","volume":"20","author":"ST Liu","year":"2016","unstructured":"Liu ST (2016) Fractional transportation problem with fuzzy parameters. Soft Comput 20(9):3629\u20133636","journal-title":"Soft Comput"},{"issue":"4","key":"3115_CR17","first-page":"307","volume":"6","author":"A Mahmoodirad","year":"2014","unstructured":"Mahmoodirad A, Hassasi H, Tohidi G, Sanei M (2014) On approximation of the fully fuzzy fixed charge transportation problem. Int J Indus Math 6(4):307\u2013314","journal-title":"Int J Indus Math"},{"issue":"9","key":"3115_CR18","doi-asserted-by":"publisher","first-page":"1939","DOI":"10.1007\/s00170-013-5383-1","volume":"70","author":"A Mahmoodi-Rad","year":"2014","unstructured":"Mahmoodi-Rad A, Molla-Alizadeh-Zavardehi S, Dehghan R, Sanei M, Niroomand S (2014) Genetic and differential evolution algorithms for the allocation of customers to potential distribution centers in a fuzzy environment. Int J Adv Manuf Technol 70(9):1939\u20131954","journal-title":"Int J Adv Manuf Technol"},{"issue":"1","key":"3115_CR19","first-page":"151","volume":"2","author":"IS Mohideen","year":"2010","unstructured":"Mohideen IS, Kumar PS (2010) A comparative study on transportation problem in fuzzy environment. Int J Math Res 2(1):151\u2013158","journal-title":"Int J Math Res"},{"key":"3115_CR20","first-page":"63","volume":"10","author":"A Nagoorgani","year":"2006","unstructured":"Nagoorgani A, Razak KA (2006) Two stage fuzzy transportation problem. J Phys Sci 10:63\u201369","journal-title":"J Phys Sci"},{"key":"3115_CR21","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-016-2249-0","author":"VLG Nayagam","year":"2016","unstructured":"Nayagam VLG, Jeevaraj S, Dhanasekaran P (2016) An intuitionistic fuzzy multi-criteria decision-making method based on non-hesitance score for interval-valued intuitionistic fuzzy sets. Soft Comput. \n                    https:\/\/doi.org\/10.1007\/s00500-016-2249-0","journal-title":"Soft Comput"},{"issue":"8","key":"3115_CR22","doi-asserted-by":"publisher","first-page":"870","DOI":"10.1080\/0951192X.2015.1130244","volume":"29","author":"S Niroomand","year":"2016","unstructured":"Niroomand S, Hadi-Vencheh A, Mirzaei M, Molla-Alizadeh-Zavardehi S (2016a) Hybrid greedy algorithms for fuzzy tardiness\/earliness minimization in a special single machine scheduling problem: case study and generalization. Int J Comput Integr Manuf 29(8):870\u2013888","journal-title":"Int J Comput Integr Manuf"},{"key":"3115_CR23","doi-asserted-by":"publisher","DOI":"10.1007\/s12351-016-0230-4","author":"S Niroomand","year":"2016","unstructured":"Niroomand S, Mahmoodirad A, Heydari A, Kardani F, Hadi-Vencheh A (2016b) An extension principle based solution approach for shortest path problem with fuzzy arc lengths. Int J Oper Res. \n                    https:\/\/doi.org\/10.1007\/s12351-016-0230-4","journal-title":"Int J Oper Res"},{"issue":"2","key":"3115_CR24","first-page":"79","volume":"4","author":"P Pandian","year":"2010","unstructured":"Pandian P, Natarajan G (2010) A new algorithm for finding a fuzzy optimal solution for fuzzy transportation problem. Appl Math Sci 4(2):79\u201390","journal-title":"Appl Math Sci"},{"issue":"4","key":"3115_CR25","doi-asserted-by":"publisher","first-page":"457","DOI":"10.1007\/s10700-016-9233-0","volume":"15","author":"J Ram\u00edk","year":"2016","unstructured":"Ram\u00edk J, Vlach M (2016) Intuitionistic fuzzy linear programming and duality: a level sets approach. Fuzzy Optim Decis Mak 15(4):457\u2013489","journal-title":"Fuzzy Optim Decis Mak"},{"key":"3115_CR26","doi-asserted-by":"publisher","first-page":"181","DOI":"10.1016\/j.eswa.2016.08.048","volume":"65","author":"J Razmi","year":"2016","unstructured":"Razmi J, Jafarian E, Amin SH (2016) An intuitionistic fuzzy goal programming approach for finding pareto-optimal solutions to multi-objective programming problems. Expert Syst Appl 65:181\u2013193","journal-title":"Expert Syst Appl"},{"issue":"3","key":"3115_CR27","doi-asserted-by":"publisher","first-page":"259","DOI":"10.1007\/s13198-014-0274-x","volume":"6","author":"SK Singh","year":"2015","unstructured":"Singh SK, Yadav SP (2015) Efficient approach for solving type-1 intuitionistic fuzzy transportation problem. Int J Syst Assur Eng Manag 6(3):259\u2013267","journal-title":"Int J Syst Assur Eng Manag"},{"key":"3115_CR28","doi-asserted-by":"publisher","DOI":"10.1504\/IJOR.2016.077684","author":"SK Singh","year":"2016","unstructured":"Singh SK, Yadav SP (2016) A novel approach for solving fully intuitionistic fuzzy transportation problem. Int J Oper Res. \n                    https:\/\/doi.org\/10.1504\/IJOR.2016.077684","journal-title":"Int J Oper Res"},{"key":"3115_CR29","doi-asserted-by":"publisher","unstructured":"Singh SK, Yadav SP (2017a) Intuitionistic fuzzy multi-objective linear programming problem with various membership functions. Ann Oper Res. \n                    https:\/\/doi.org\/10.1007\/s10479-017-2551-y","DOI":"10.1007\/s10479-017-2551-y"},{"key":"3115_CR30","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1016\/j.eswa.2017.03.015","volume":"80","author":"V Singh","year":"2017","unstructured":"Singh V, Yadav SP (2017b) Development and optimization of unrestricted LR-type intuitionistic fuzzy mathematical programming problems. Expert Syst Appl 80:147\u2013161","journal-title":"Expert Syst Appl"},{"key":"3115_CR31","doi-asserted-by":"publisher","first-page":"27","DOI":"10.3233\/IFS-162105","volume":"31","author":"M Taassori","year":"2016","unstructured":"Taassori M, Niroomand S, Uysal S, Hadi-Vencheh A, Vizvari B (2016) Fuzzy-based mapping algorithms to design networks-on-chip. J Intell Fuzzy Syst 31:27\u201343","journal-title":"J Intell Fuzzy Syst"},{"key":"3115_CR32","doi-asserted-by":"publisher","first-page":"315","DOI":"10.1007\/BF02186373","volume":"12","author":"LD Xu","year":"1988","unstructured":"Xu LD (1988) A fuzzy multi-objective programming algorithm in decision support systems. Ann Oper Res 12:315\u2013320","journal-title":"Ann Oper Res"},{"key":"3115_CR33","first-page":"338","volume":"8","author":"LA Zadeh","year":"1965","unstructured":"Zadeh LA (1965) Fuzzy sets. Inf Comput 8:338\u2013353","journal-title":"Inf Comput"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-018-3115-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00500-018-3115-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-018-3115-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,6]],"date-time":"2019-05-06T09:08:57Z","timestamp":1557133737000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00500-018-3115-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,3,12]]},"references-count":33,"journal-issue":{"issue":"12","published-print":{"date-parts":[[2019,6]]}},"alternative-id":["3115"],"URL":"https:\/\/doi.org\/10.1007\/s00500-018-3115-z","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,3,12]]},"assertion":[{"value":"12 March 2018","order":1,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Compliance with ethical standards"}},{"value":"Authors Ali Mahmoodirad, Tofigh Allahviranloo, Sadegh Niroomand declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}},{"value":"This article does not contain any studies with human participants or animals performed by any of the authors.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethical approval"}}]}}