A method for solving bipolar fuzzy complex linear systems with real and complex coefficients

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dc.authoridTofigh Allahviranloo / 0000-0002-6673-3560en_US
dc.authorscopusidTofigh Allahviranloo / 8834494700
dc.authorwosidTofigh Allahviranloo / V-4843-2019
dc.contributor.authorAkram, Muhammad
dc.contributor.authorAli, Muhammad
dc.contributor.authorAllahviranloo, Tofigh
dc.date.accessioned2022-02-07T10:00:58Z
dc.date.available2022-02-07T10:00:58Z
dc.date.issued2022en_US
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractAn extensive variety of human decision making is based on two-sided or bipolar cognitive assessment of a positive side and a negative side. Zhang’s bipolar fuzzy set is represented as {?(x,y)|(x,y)?[-1,0]×[0,1]}.The multiagent decision analysis is based on bipolar judgment of a positive side and a negative side. In this paper, we consider the issues posed by bipolar fuzzy linear systems (BFLSs) and bipolar fuzzy complex linear (BFCL) systems of equations with real and complex coefficients. Primarily, we find the solution of the BFLS of equations by the resort into two parts: one is negative(?) and other is positive(?) n× n linear fuzzy systems; to this aim, we use n× n bipolar fuzzy center system and 2 n× 2 n bipolar fuzzy width system. We describe the fundamentals of proposed method with the aid of n= 2 , 5 -dimensional numerical examples, and we get the weak and strong solutions of the system. Subsequently, we describe a technique to solve BFCL systems of equations whose coefficients are real and complex by a pair of positive(?) and negative(?) n× n real and complex crisp linear systems; to this aim, we use bipolar fuzzy complex center and width. Ultimately, we use our proposed technique to solve a current flow circuit which is defined in terms of a BFCL system with complex coefficients, and we get the unknown current in the form of bipolar fuzzy complex number. © 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.en_US
dc.identifier.citationAkram, M., Ali, M., & Allahviranloo, T. (2022). A method for solving bipolar fuzzy complex linear systems with real and complex coefficients. Soft Computing, doi:10.1007/s00500-021-06672-7en_US
dc.identifier.doi10.1007/s00500-021-06672-7en_US
dc.identifier.issn1432-7643en_US
dc.identifier.scopus2-s2.0-85123829094en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1007/s00500-021-06672-7
dc.identifier.urihttps://hdl.handle.net/20.500.12713/2470
dc.identifier.wosWOS:000749108600002en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorAllahviranloo, Tofigh
dc.language.isoenen_US
dc.publisherSpringer Science and Business Media Deutschland GmbHen_US
dc.relation.ispartofSoft Computingen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBipolar Fuzzy Complex Centeren_US
dc.subjectBipolar Fuzzy Complex Linear Systemsen_US
dc.subjectComplex Coefficientsen_US
dc.subjectCurrent Flow Circuiten_US
dc.subjectStrong and Weak Solutionen_US
dc.titleA method for solving bipolar fuzzy complex linear systems with real and complex coefficientsen_US
dc.typeArticleen_US

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