Fuzzy linear programming with the intuitionistic polygonal fuzzy numbers
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 c...
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| Published in | International journal of electrical and computer engineering (Malacca, Malacca) Vol. 14; no. 2; p. 2242 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
01.04.2024
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| Online Access | Get full text |
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| Summary: | 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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| ISSN: | 2088-8708 2722-2578 |
| DOI: | 10.11591/ijece.v14i2.pp2242-2253 |