Authors: Stanojević, Bogdana 
Stancu-Minasian, Ioan
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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