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A new approach for solving fuzzy linear programming problems using a k-scale ordering method
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Masomeh Gholizadeh   , Babak Khabiri , Gohar Shakouri * |
| Rahman Institute of Higher Education, Ramsar, Iran , gshakoori2@gmail.com |
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Abstract: (3 Views) |
In this paper, we deal with a fully fuzzy linear programming (FFLP) when the constraints are described as equality and inequality. With respect to Hadi method which is a new and a comfortable ranking method for ordering the trapezoidal fuzzy numbers, we introduce a new ranking function. We show that this function has some smooth properties when we use it for new classes of the trapezoidal fuzzy numbers which we called them k-scale trapezoidal fuzzy numbers. The k- scale trapezoidal fuzzy numbers are in fact a generalization of symmetric trapezoidal fuzzy numbers. Based on this ranking function, a new method is proposed to find the fuzzy solution for solving k-scale FFLP. Numerical examples are providing to illustrate the method.
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| Keywords: Fully fuzzy linear programming, Trapezoidal fuzzy numbers, Hadi ranking method. |
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Type of Study: Applicable |
Subject:
Fuzzy Sets and Systems
Received: 2025/06/10 | Accepted: 2025/09/12 | Published: 2025/09/12
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