An Approach for Solving Fuzzy Multi-Objective Linear Fractional Programming Problems
Copyright policy )An Approach for Solving Fuzzy Multi-Objective Linear Fractional Programming Problems
In this paper, an attempt has been taken to develop a method for solving fuzzy multi-objective linear fractional programming (FMOLFP) problem. Here, at first the FMOLFP problem is converted into (crisp) multi-objective linear fractional programming (MOLFP) problem using the graded mean integration representation (GMIR) method proposed by Chen and Hsieh. That is, all the fuzzy parameters of FMOLFP problem are converted into crisp values. Then the MOLFP problem is transformed into a single objective linear programming (LP) problem using a proposal given by Nuran Guzel. Finally the single objective LP problem is solved by regular simplex method which yields an efficient solution of the original FMOLFP problem. To show the efficiency of our proposed method, three numerical examples are illustrated and also for each example, a comparison is drawn between our proposed method and the respected existing method.
Fuzzy multi-objective linear fractional programming (FMOLFP) and Graded mean integration representation (GMIR), Criss-cross algorithm, Technology, Intuitionistic Fuzzy Sets, Artificial intelligence, Chen, Social Sciences, Multi-Criteria Decision Making, Management Science and Operations Research, Fixed-Point Problems, Quantum mechanics, Linear fractional programming (LFP), Multi-Objective Transportation Problem Optimization, Decision Sciences, Engineering, Linear-fractional programming, Nonlinear programming, Fuzzy Goal Programming, Linear programming, QA1-939, FOS: Mathematics, Multi-objective linear fractional programming (MOLFP), Fractional programming, Biology, Multi-Objective Optimization, T, Physics, Mathematical optimization, Paleontology, Iterative Algorithms for Nonlinear Operators and Optimization, Computer science, Fuzzy logic, Computational Theory and Mathematics, Control and Systems Engineering, Physical Sciences, Computer Science, Simplex algorithm, Fuzzy set, Nonlinear system, Linear Fractional Programming, Mathematics
Fuzzy multi-objective linear fractional programming (FMOLFP) and Graded mean integration representation (GMIR), Criss-cross algorithm, Technology, Intuitionistic Fuzzy Sets, Artificial intelligence, Chen, Social Sciences, Multi-Criteria Decision Making, Management Science and Operations Research, Fixed-Point Problems, Quantum mechanics, Linear fractional programming (LFP), Multi-Objective Transportation Problem Optimization, Decision Sciences, Engineering, Linear-fractional programming, Nonlinear programming, Fuzzy Goal Programming, Linear programming, QA1-939, FOS: Mathematics, Multi-objective linear fractional programming (MOLFP), Fractional programming, Biology, Multi-Objective Optimization, T, Physics, Mathematical optimization, Paleontology, Iterative Algorithms for Nonlinear Operators and Optimization, Computer science, Fuzzy logic, Computational Theory and Mathematics, Control and Systems Engineering, Physical Sciences, Computer Science, Simplex algorithm, Fuzzy set, Nonlinear system, Linear Fractional Programming, Mathematics
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