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

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.

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

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

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