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Evaluating fuzzy inequalities and solving fully fuzzified linear fractional programs
Author(s) -
Bogdana Stanojević,
I. M. Stancu-Minasian
Publication year - 2012
Publication title -
yugoslav journal of operations research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.221
H-Index - 21
eISSN - 1820-743X
pISSN - 0354-0243
DOI - 10.2298/yjor110522001s
Subject(s) - linear fractional programming , linear programming , mathematics , mathematical optimization , fuzzy logic , fuzzy number , fractional programming , nonlinear programming , fuzzy set , computer science , nonlinear system , artificial intelligence , physics , quantum mechanics
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

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