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

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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