학술논문

Solution of Fully Fuzzy Multi-objective Linear Fractional Programming Problems-A Gauss Elimination Approach.
Document Type
Article
Source
Engineering Letters. Sep2022, Vol. 30 Issue 3, p1085-1091. 7p.
Subject
*FRACTIONAL programming
*PARETO optimum
*FUZZY numbers
*FUZZY arithmetic
Language
ISSN
1816-093X
Abstract
A fuzzy version of Gauss Elimination Approach (GEA) for the solution of fully fuzzy multi objective linear fractional programming (FFMOLFP) problems involving triangular fuzzy numbers (TFNs) is presented in this article. Fully fuzzy linear fractional programming problem is first reduced to an equivalent fully fuzzy linear programming (FFLP) problem by suitable transformation and then the optimum value of each objective function is obtained individually with respect to the same set of constraints. Secondly by using all these objective values, the FFMOLFP problem is then converted to a single objective non fractional FFLP problem and its optimum solution is obtained which in turn provides the Pareto optimum solution the given FFMOLFP problem. To indicate the efficacy of the proposed procedure, a numerical illustration is given. [ABSTRACT FROM AUTHOR]