Journal
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
Volume 42, Issue 6, Pages 5639-5652Publisher
IOS PRESS
DOI: 10.3233/JIFS-212105
Keywords
Efficient solution; fuzzy numbers; fuzzy programming; interval arithmetic; weighted sum approach
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Funding
- UKM [ST-2019-016]
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In this paper, an approach to solving the multi-objective linear fractional programming problem is presented. The fuzzy problem is transformed into a linear programming problem to obtain a solution that is at least weakly epsilon-efficient.
In the multi-objective programming problem (MOPP), finding an efficient solution is challenging and partially encompasses some difficulties in practice. This paper presents an approach to address the multi-objective linear fractional programing problem with fuzzy coefficients (FMOLFPP). In the method, at first, the concept of alpha - cuts is used to change the fuzzy numbers into intervals. Therefore, the fuzzy problem is further changed into an interval-valued linear fractional programming problem (IVLFPP). Afterward, this problem is transformed into a linear programming problem (LPP) using a parametric approach and the weighted sum method. It is proven that the solution resulted from the LPP is at least a weakly epsilon - efficient solution. Two examples are given to illustrate the method.
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