Fuzzy efficient and pareto — Optimal solution for multiobjective linear plus linear fractional programming problem

2010 ◽  
Author(s):  
Pitam Singh ◽  
Shiv Datt Kumar ◽  
R. K. Singh
Keyword(s):  
Programming Problem ◽  
Fractional Programming ◽  
Optimal Solution ◽  
Linear Fractional Programming ◽  
Fractional Programming Problem ◽  
Linear Fractional Programming Problem

scholarly journals Fuzzy solution of fully fuzzy multi-objective linear fractional programming problems

2021 ◽  
pp. 817-825
Author(s):  
Ganesan Kandasamy ◽  
T. Loganathan
Keyword(s):  
Programming Problem ◽  
Fractional Programming ◽  
Optimal Solution ◽  
Linear Fractional Programming ◽  
Multi Objective ◽  
Fractional Programming Problem ◽  
Fuzzy Optimal Solution ◽  
Optimal Value ◽  
Novel Method ◽  
Linear Fractional Programming Problem

In this study, we present a novel method for solving fully fuzzy multi-objective linear fractional programming problems without transforming to equivalent crisp problems. First, we calculate the fuzzy optimal value for each fractional objective function and then we convert the fully fuzzy multi-objective linear fractional programming problem to a single objective fuzzy linear fractional programming problem and find its fuzzy optimal solution which inturn yields a fuzzy Pareto optimal solution for the given fully fuzzy multi-objective linear fractional programming problem. To demonstrate the proposed strategy, a numerical example is provided.

scholarly journals A Proposal to the Solution of Multiobjective Linear Fractional Programming Problem

2013 ◽  
Vol 2013 ◽  
pp. 1-4 ◽  
Author(s):  
Nuran Güzel
Keyword(s):  
Programming Problem ◽  
Fractional Programming ◽  
Software Package ◽  
Efficient Solution ◽  
Optimal Solution ◽  
Linear Fractional Programming ◽  
Fractional Programming Problem ◽  
Nonlinear Fractional Programming ◽  
Single Objective ◽  
Linear Fractional Programming Problem

We have proposed a new solution to the Multiobjective Linear Fractional Programming Problem (MOLFPP). The proposed solution is based on a theorem that deals with nonlinear fractional programming with single objective function and studied in the work by Dinkelbach, 1967. As a new contribution, we have proposed that is an efficient solution of MOLFPP if is an optimal solution of problem , where is for all . Hence, MOLFPP is simply reduced to linear programming problem (LPP). Some numerical examples are provided in order to illustrate the applications of the proposed method. The optimization software package, namely, WinQSB (Chang, 2001), has been employed in the computations.

scholarly journals Ranking Function Application for Optimal Solution of Fractional programming problem

2020 ◽  
Vol 25 (1) ◽  
Author(s):  
Rasha Jalal
Keyword(s):  
Linear Programming ◽  
Programming Problem ◽  
Fractional Programming ◽  
Linear Programming Problem ◽  
Fuzzy Numbers ◽  
Optimal Solution ◽  
Ranking Function ◽  
Linear Fractional Programming ◽  
Fractional Programming Problem ◽  
Linear Programming Problems

The aim of this paper is to suggest a solution procedure to fractional programming problem based on new ranking function (RF) with triangular fuzzy number (TFN) based on alpha cuts sets of fuzzy numbers. In the present procedure the linear fractional programming (LFP) problems is converted into linear programming problems. We concentrate on linear programming problem problems in which the coefficients of objective function are fuzzy numbers, the right- hand side are fuzzy numbers too, then solving these linear programming problems by using a new ranking function. The obtained linear programming problem can be solved using win QSB program (simplex method) which yields an optimal solution of the linear fractional programming problem. Illustrated examples and comparisons with previous approaches are included to evince the feasibility of the proposed approach.

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