A NEW APPROACH TO SOLVE INTUITIONISTIC FUZZY NONLINEAR FRACTIONAL PROGRAMMING PROBLEM

2021 ◽  
Vol 15 (1) ◽  
Keyword(s):  
Programming Problem ◽  
Fractional Programming ◽  
New Approach ◽  
Fractional Programming Problem ◽  
Intuitionistic Fuzzy ◽  
Nonlinear Fractional Programming

scholarly journals Duality for multiobjective fractional programming problems involving d -type-I n-set functions

2009 ◽  
Vol 19 (1) ◽  
pp. 63-73
Author(s):  
I.M. Stancu-Minasian ◽  
Gheorghe Dogaru ◽  
Mădălina Stancu
Keyword(s):  
Programming Problem ◽  
Fractional Programming ◽  
Generalized Convexity ◽  
Type I ◽  
Multiobjective Fractional Programming ◽  
Fractional Programming Problem ◽  
Duality Results ◽  
Set Functions ◽  
Convexity Assumptions ◽  
Nonlinear Fractional Programming

We establish duality results under generalized convexity assumptions for a multiobjective nonlinear fractional programming problem involving d -type-I n -set functions. Our results generalize the results obtained by Preda and Stancu-Minasian [24], [25].

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.

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