Geodesic
Evaluating Fuzzy Inequalities and Solving Fully Fuzzified Linear Fractional Programs
Yugoslav journal of operations research, Tome 22 (2012) no. 1, p. 41 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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In our earlier articles, we proposed two methods for solving the fully fuzzified linear fractional programming (FFLFP) problems. In this paper, we introduce a different approach of evaluating fuzzy inequalities between two triangular fuzzy numbers and solving FFLFP problems. First, using the Charnes-Cooper method, we transform the linear fractional programming problem into a linear one. Second, the problem of maximizing a function with triangular fuzzy value is transformed into a problem of deterministic multiple objective linear programming. Illustrative numerical examples are given to clarify the developed theory and the proposed algorithm.
Classification : 90C32, 90C70
Keywords: Fuzzy programming, triangular fuzzy number, fractional programming, centroid of triangle. 
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     author = {B. Stanojevi\'c and I.M. Stancu-Minasian},
     title = {Evaluating {Fuzzy} {Inequalities} and {Solving} {Fully} {Fuzzified} {Linear} {Fractional} {Programs}},
     journal = {Yugoslav journal of operations research},
     pages = {41 },
     year = {2012},
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B. Stanojević; I.M. Stancu-Minasian. Evaluating Fuzzy Inequalities and Solving Fully Fuzzified Linear Fractional Programs. Yugoslav journal of operations research, Tome 22 (2012) no. 1, p. 41 . http://geodesic.mathdoc.fr/item/YJOR_2012_22_1_a3/