Interactive Fuzzy Goal Programming Based on Taylor Series to Solve Multiobjective Nonlinear Programming Problems With Interval Type-2 Fuzzy Numbers

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dc.authoridBayram, Mustafa/0000-0002-2994-7201
dc.authoridBayram, Mustafa/0000-0002-2994-7201
dc.authoridDalman, Hasan/0000-0001-8925-3941
dc.authoridDalman, Hasan/0000-0003-0796-4542
dc.contributor.authorDalman, Hasan
dc.contributor.authorBayram, Mustafa
dc.date.accessioned2024-09-11T19:51:58Z
dc.date.available2024-09-11T19:51:58Z
dc.date.issued2018
dc.departmentİstanbul Gelişim Üniversitesien_US
dc.description.abstractThis paper presents an interactive fuzzy goal programming (FGP) approach for solving multiobjective nonlinear programming problems (MONLPP) with interval type-2 fuzzy numbers (IT2 FNs). The cost and time of the objective functions, the resources, and the requirements of each kind of resources are taken to be trapezoidal IT2 FNs. Here, the considered problem is first transformed into an equivalent crisp MONLPP, and then the transformed MONLPP is converted into an equivalent multiobjective linear programming problem. By using a procedure based on Taylor series, this problem is reduced into a single objective linear programming problem that can be easily solved by Maple 2017 optimization toolbox. Finally, the proposed solution procedure is illustrated by two numerical examples.en_US
dc.identifier.doi10.1109/TFUZZ.2017.2774191
dc.identifier.endpage2449en_US
dc.identifier.issn1063-6706
dc.identifier.issn1941-0034
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85035090740en_US
dc.identifier.startpage2434en_US
dc.identifier.urihttps://doi.org/10.1109/TFUZZ.2017.2774191
dc.identifier.urihttps://hdl.handle.net/11363/7877
dc.identifier.volume26en_US
dc.identifier.wosWOS:000440798300055en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherIEEE-Inst Electrical Electronics Engineers Incen_US
dc.relation.ispartofIeee Transactions on Fuzzy Systemsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmz20240903_Gen_US
dc.subjectFuzzy goal programming (FGP)en_US
dc.subjectinteractive approachen_US
dc.subjectinterval type-2 (IT2) fuzzy setsen_US
dc.subjectmultiobjective nonlinear programmingen_US
dc.subjectTaylor seriesen_US
dc.titleInteractive Fuzzy Goal Programming Based on Taylor Series to Solve Multiobjective Nonlinear Programming Problems With Interval Type-2 Fuzzy Numbersen_US
dc.typeArticleen_US

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