Open AccessMehar method for finding exact fuzzy optimal solution of fully fuzzy linear programming problems
Author(s) -
Gourav Gupta
Publication year - 2018
Publication title -
international journal of mathematics and systems science
Language(s) - English
Resource type - Journals
ISSN - 2578-1839
DOI - 10.24294/ijmss.v1i2.862
Subject(s) - fuzzy number , fuzzy logic , mathematical optimization , fuzzy set operations , mathematics , fuzzy transportation , defuzzification , linear programming , fuzzy classification , algorithm , computer science , fuzzy set , artificial intelligence
There are several methods in the literature to find the fuzzy optimal solution of fully fuzzy linear programming (FFLP) problems. However, in all these methods, it is assumed that the product of two trapezoidal (triangular) fuzzy numbers will also be a trapezoidal (triangular) fuzzy number. Fan et al. (“Generalized fuzzy linear programming for decision making under uncertainty: Feasibility of fuzzy solutions and solving approach”, Information Sciences, Vol. 241, pp. 12–27, 2013) proposed a method for finding the fuzzy optimal solution of FFLP problems without considering this assumption. In this paper, it is shown that the method proposed by Fan et al. (2013) suffer from errors and to overcome these errors, a new method (named as Mehar method) is proposed for solving FFLP problems by modifying the method proposed by Fan et al. (2013) . To illustrate the proposed method, some numerical problems are solved.