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

Year 2019, Issue: 15, 10 - 17, 31.03.2019

Adem Cengiz Çevikel

https://doi.org/10.31590/ejosat.500930

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

Abstract

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.

Keywords

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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