Duality in Linear Fractional Programming Under Fuzzy Environment Using Hyperbolic Membership Functions

Int. J. Fuzzy Syst. Appl. Pub Date : 2020-07-01 DOI:10.4018/ijfsa.2020070101

Pratiksha Saxena

引用次数: 2

Abstract

Alinearfractionalprogrammingproblemanditsdualproblemispresentedunderfuzzyenvironment. Appropriatefuzzyversionofdualityresultsareestablishedusinganaspirationlevelapproach.This studyuses thehyperbolicmembership functions to represent fulfillmentof thedecisionmaker’s degreeofsatisfactionincontrasttoavailableliteraturewhichreliedonlinearmembershipfunctions/ exponentialmembershipfunctions. KEyworDS Duality Theory, Fuzzy Linear Fractional Programming, Fuzzy Sets, Hyperbolic Membership Functions

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模糊环境下利用双曲隶属函数求解线性分式规划的对偶性

Alinearfractionalprogrammingproblemanditsdualproblemispresentedunderfuzzyenvironment。Appropriatefuzzyversionofdualityresultsareestablishedusinganaspirationlevelapproach。This studyuses thehyperbolicmembership函数表示fulfillmentof thedecisionmaker的degreeofsatisfactionincontrasttoavailableliteraturewhichreliedonlinearmembershipfunctions/ exponentialmembershipfunctions。关键词对偶理论，模糊线性分式规划，模糊集，双曲隶属函数

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Int. J. Fuzzy Syst. Appl.

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