Fuzzy linear programming with the intuitionistic polygonal fuzzy numbers

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Fuzzy linear programming with the intuitionistic polygonal fuzzy numbers

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Alrefaei, Mahmoud H. / Tuffaha, Marwa Z.

In real world applications, data are subject to ambiguity due to several factors; fuzzy sets and fuzzy numbers propose a great tool to model such ambiguity. In case of hesitation, the complement of a membership value in fuzzy numbers can be different from the non-membership value, in which case we can model using intuitionistic fuzzy numbers as they provide flexibility by defining both a membership and a non-membership functions. In this article, we consider the intuitionistic fuzzy linear programming problem with intuitionistic polygonal fuzzy numbers, which is a generalization of the previous polygonal fuzzy numbers found in the literature. We present a modification of the simplex method that can be used to solve any general intuitionistic fuzzy linear programming problem after approximating the problem by an intuitionistic polygonal fuzzy number with n edges. This method is given in a simple tableau formulation, and then applied on numerical examples for clarity.

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Title :

Fuzzy linear programming with the intuitionistic polygonal fuzzy numbers

Contributors:

Alrefaei, Mahmoud H. (author) / Tuffaha, Marwa Z. (author) / Deanship of Research at Jordan University of Science and Technology

Publication date :

2024-04-01

Remarks:

doi:10.11591/ijece.v14i2.pp2242-2253
International Journal of Electrical and Computer Engineering (IJECE); Vol 14, No 2: April 2024; 2242-2253 ; 2722-2578 ; 2088-8708 ; 10.11591/ijece.v14i2

DOI :

https://doi.org/10.11591/ijece.v14i2.pp2242-2253

Type of media :

Article (Journal)

Type of material :

Electronic Resource

Language :

English

Keywords :

Computer and Informatics , Fuzzy numbers , Intuitionistic fully fuzzy linear programming , Intuitionistic fuzzy numbers , Linear programming , Simplex method

Classification :

DDC: