|Affiliations:||Mathematical Institute of the Serbian Academy of Sciences and Arts||Title:||Evaluating fuzzy inequalities and solving fully fuzzified linear fractional programs||Journal:||Yugoslav Journal of Operations Research||Volume:||22||Issue:||1||First page:||41||Last page:||50||Issue Date:||1-Dec-2012||Rank:||M51||ISSN:||0354-0243||DOI:||10.2298/YJOR110522001S||Abstract:||
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.
|Keywords:||Centroid of triangle | Fractional programming | Fuzzy programming | Triangular fuzzy number||Publisher:||Faculty of Organizational Sciences, University of Belgrade||Project:||Optimization of Distributive and Reverse Flows in Logistic Systems|
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