dc.contributor.author Razzaghnia, T. dc.date.accessioned 2020-08-31T12:13:10Z dc.date.available 2020-08-31T12:13:10Z dc.date.issued 2009 en_US dc.identifier.citation Razzaghnia, T. (2009). Trapezoidal fuzzy data in possibility linear regression analysis. Maltepe Üniversitesi. s. 368. en_US dc.identifier.isbn 9786052124154 dc.identifier.uri https://hdl.handle.net/20.500.12415/6132 dc.description.abstract Fuzzy linear regression was proposed by Tanaka et al. [3] in 1982. Many different fuzzy regression approaches have en_US been proposed by different researchers since then [1],[2] and also this subject has drawn much attention from more and more people concerned.and more people concerned. A fuzzy number A˜ is a convex normalized fuzzy subset of the real line R with an upper semi-continuous membership function of bounded support. Definition: A symmetric fuzzy numberA˜, denoted by A˜ = (α, c)L is defined as A˜ = L((x − α)/c),c > 0,Where α and c are the center and spread of A˜ and L(x) is a shape function of fuzzy numbers. A fuzzy regression analysis results in the following regression model:Y ˆ˜ = A˜0Xi0 + A˜1Xi1 + . . . + A˜pXip = AX˜ i i = 1, 2, . . . , n. In this paper, we aim to extended the constraints of Tanaka’s [3] model. Applied coefficients of the fuzzy regression by them is the symmetric triangular fuzzy numbers, while we try to replace it by more general asymmetric trapezoidal one. Possibility of two asymmetric trapezoidal fuzzy numbers is explained by possibility distribution. Two different models is presented and a numerical example is given in order to compare the proposed models with previous one. Error values shows advantage of the presented models with respect to constraints of Tanaka’s model. For the possibility distribution with asymmetric trapezoidal fuzzy numbers, we prove the following theorem. dc.language.iso eng en_US dc.publisher Maltepe Üniversitesi en_US dc.rights CC0 1.0 Universal * dc.rights info:eu-repo/semantics/openAccess en_US dc.rights.uri http://creativecommons.org/publicdomain/zero/1.0/ * dc.subject Trapezoidal fuzzy numbers en_US dc.subject Fuzzy linear regression en_US dc.subject Possibility distribution en_US dc.subject Mathematical programming en_US dc.title Trapezoidal fuzzy data in possibility linear regression analysis en_US dc.type conferenceObject en_US dc.relation.journal International Conference of Mathematical Sciences en_US dc.contributor.department Maltepe Üniversitesi, İnsan ve Toplum Bilimleri Fakültesi en_US dc.identifier.startpage 368 en_US dc.identifier.endpage 369 en_US dc.relation.publicationcategory Uluslararası Konferans Öğesi - Başka Kurum Yazarı en_US dc.contributor.institutionauthor Razzaghnia, T.
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