Bector-Chandra Type Duality in Linear Programming Under Fuzzy Environment Using Hyperbolic Tangent Membership Functions

Inthisarticle,apairofprimal-dualproblemsoflinearprogrammingarepresentedunderafuzzy environment.Theappropriatedualityresultsareestablishedusingaspirationlevelapproach.This studyusesthehyperbolictangentmembershipfunctionstorepresentfulfilmentofthedecisionmaker’s degreeofsatisfactionincontrasttoavailableliteraturewhichreliedonlinearmembershipfunctions. Thesolutionsobtainedfromtheuseofhyperbolictangentmembershipfunctionsareelicitedthrough acomparisonofsolutionsobtainedbyemployinglinearmembershipfunctions.Thedemonstration ofapproachandverificationofresultsispresentedthroughnumericalexamples. KEywoRDS Duality Theory, Fuzzy Linear Programming, Fuzzy Set Theory, Hyperbolic Tangent Membership Function