A new method to solve linear programming problems in the environment of picture fuzzy sets

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dc.authorscopusidTofigh Allahviranloo / 8834494700
dc.authorwosidTofigh Allahviranloo / V-4843-2019
dc.contributor.authorAkram, Muhammad Saeed
dc.contributor.authorUllah, Inayat
dc.contributor.authorAllahviranloo, Tofigh
dc.date.accessioned2025-04-18T08:32:39Z
dc.date.available2025-04-18T08:32:39Z
dc.date.issued2022
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Yazılım Mühendisliği Bölümü
dc.description.abstractPicture fuzzy set is characterized by neutral membership function along with the membership and non-membership functions, and is, therefore, more general than the intuitionistic fuzzy set which is only characterized by membership and non-membership functions. In this paper, first, we are going to point out a drawback and try to fix it by the existing trapezoidal picture fuzzy number. Furthermore, we define an LR flat picture fuzzy number, which is a generalization of trapezoidal picture fuzzy numbers. We also discuss a linear programming model with LR flat picture fuzzy numbers as parameters and variables and present a method to solve these type of problems using a generalized ranking function. © 2022, University of Sistan and Baluchestan. All rights reserved.
dc.identifier.citationAkram, M., Ullah, I., & Allahviranloo, T. (2022). A new method to solve linear programming problems in the environment of picture fuzzy sets. Iranian Journal of Fuzzy Systems, 19(6), 29-49.
dc.identifier.doi10.22111/ijfs.2022.7208
dc.identifier.endpage49
dc.identifier.issn17350654
dc.identifier.issue6
dc.identifier.scopus2-s2.0-85133969432
dc.identifier.scopusqualityQ1
dc.identifier.startpage29
dc.identifier.urihttp://dx.doi.org/10.22111/ijfs.2022.7208
dc.identifier.urihttps://hdl.handle.net/20.500.12713/6579
dc.identifier.volume19
dc.identifier.wosWOS:000885481900003
dc.identifier.wosqualityQ1
dc.indekslendigikaynakScopus
dc.institutionauthorAllahviranloo, Tofigh
dc.institutionauthoridTofigh Allahviranloo / 0000-0002-6673-3560
dc.language.isoen
dc.publisherUniversity of Sistan and Baluchestan
dc.relation.ispartofIranian Journal of Fuzzy Systems
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectLR Flat Picture Fuzzy Numbers
dc.subjectPicture Fuzzy Linear Programming
dc.subjectPicture Fuzzy Linear Programming Problem
dc.subjectPicture Fuzzy Numbers
dc.subjectRanking Function
dc.titleA new method to solve linear programming problems in the environment of picture fuzzy sets
dc.typeArticle

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