Q-Taylor Series Method for Solving Fuzzy Multiobjective Linear Fractional Programming Problem

Abstract

In this work, we present a q -Taylor series method for fuzzy multiobjective linear fractional programming problems (FMOLFPPs). In q -calculus, q -Taylor series is a q -series expansion of a function with respect to q -derivatives. In the proposed approach, membership functions are defined to be piecewise linear. Membership functions associated with each objective of fuzy multiobjective linear fractional programming problem transformed by using q -Taylor series are unified. Thus, the problem is reduced to a single objective. To show the efficiency of the q -Taylor series method, we applied the method to some problems.

Keywords

• Fuzzy Programming,Fuzzy objective goals,Multiobjective linear fractional programming,Fuzzy multiobjective linear fractional programming,Q-Calculus,Q-Taylor series

Bulanık Çokamaçlı Lineer Kesirli Proğramlama Problemlerinin Çözümleri için Q- Taylor Seri Metodu

Öz

Bu çalışmada, bulanık çok amaçlı lineer kesirli proğramlama problemlerinin (BÇALPP) çözümleri için q -Taylor seri metodu sunulmuştur. Q-Analizde, q -Taylor serisi q -Türevlerine göre bir fonksiyonun q -Serisine genişlemesidir. Önerilen yaklaşımda, üyelik fonksiyonları parçalı lineer fonksiyonlar olarak tanımlanmaktadır. Q-Taylor serileri kullanılarak dönüştürülen bulanık çok amaçlı lineer kesirli programlama problemleri üyelik fonksiyonları ile birleştirilmiştir. Böylece problem tek bir amaca indirgenmiştir. q -Taylor seri metodunun etkinliğini göstermek için birkaç problemler çözülmüştür.

Anahtar Kelimeler

• Bulanık Proğramlama,Bulanık amaçlı hedefler,Çok amaçlı lineer kesirli programlama,Bulanık çok amaçlı lineer kesirli proğramlama,Q-Analiz,Q-Taylor serisi

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