On Solving Fully Fuzzified Linear Fractional Programs
نویسندگان
چکیده
In an earlier work [Pop and Stancu Minasian, 2008], we proposed a method of solving the fully fuzzified linear fractional programming (FFLFP) problem. In this paper, we propose another method of solving the FFLFP problem. First, analogically using the Charnes-Cooper method, we transform the linear fractional programming problem into a linear one. Next, problem of maximizing a function with triangular fuzzy value is transformed into a deterministic multiple objective linear programming problem with quadratic constraints. We apply the extension principle of Zadeh to add fuzzy numbers, an approximate version of the same principle to multiply and divide fuzzy numbers and the Kerre’s method to evaluate a fuzzy constraint. Disjunctive constraints are also taken into consideration here. An illustrative numerical example is given to clarify the developed theory and the proposed algorithm.
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