Interactive goal programming algorithm with Taylor series and interval type 2 fuzzy numbers

dc.authorid0000-0002-5624-0412en_US
dc.authorid0000-0002-2994-7201en_US
dc.contributor.authorDalman, Hasan
dc.contributor.authorBayram, Mustafa
dc.date.accessioned2021-04-26T07:58:37Z
dc.date.available2021-04-26T07:58:37Z
dc.date.issued2019-06-01en_US
dc.departmentBatman Üniversitesi Fen - Edebiyat Fakültesi Matematik Bölümüen_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, and the requirements of each kind of resources are taken to be trapezoidal IT2 FNs. Here, the considered fuzzy problem is first transformed into an equivalent crisp MONLPP, and then the MONLPP is converted into an equivalent multiobjective linear programming problem (MOLPP). By using an algorithm based on Taylor series, this problem is also reduced into a single objective linear programming problem (LPP) which can be easily solved by Maple 2017 optimization toolbox. Finally, the proposed solution procedure is illustrated by a numerical example.en_US
dc.identifier.citationDalman, H., Bayram, M. (2019). Interactive goal programming algorithm with Taylor series and interval type 2 fuzzy numbers. International Journal of Machine Learning and Cybernetics, 10 (6), pp. 1563-1579. https://dx.doi.org/10.1007/s13042-018-0835-4en_US
dc.identifier.endpage1579en_US
dc.identifier.issn1868-8071
dc.identifier.issn1868-808X
dc.identifier.issue6en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage1563en_US
dc.identifier.urihttps://dx.doi.org/10.1007/s13042-018-0835-4
dc.identifier.urihttps://hdl.handle.net/20.500.12402/2977
dc.identifier.volume10en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Natureen_US
dc.relation.isversionof10.1007/s13042-018-0835-4en_US
dc.relation.journalInternational Journal of Machine Learning and Cyberneticsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.rightsAttribution-NonCommercial-ShareAlike 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/us/*
dc.subjectFuzzy Goalsen_US
dc.subjectInteractive Mechanismen_US
dc.subjectInterval type 2 Fuzzy Setsen_US
dc.subjectMultiobjective Nonlinear Programmingen_US
dc.subjectTaylor Seriesen_US
dc.titleInteractive goal programming algorithm with Taylor series and interval type 2 fuzzy numbersen_US
dc.typeArticleen_US

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