scholarly journals Fuzzy Goal Programming Approach to Quadratic BiLevel MultiObjective Programming Problem

2011 ◽  
Vol 29 (6) ◽  
pp. 9-14 ◽  
Author(s):  
Surapati Pramanik ◽  
Partha Pratim Dey ◽  
Bibhas C. Giri
Keyword(s):  
Programming Problem ◽  
Goal Programming ◽  
Multiobjective Programming ◽  
Fuzzy Goal Programming ◽  
Programming Approach ◽  
Fuzzy Goal ◽  
Multiobjective Programming Problem

scholarly journals Interactive Fuzzy Goal Programming approach in multi-response stratified sample surveys

2016 ◽  
Vol 26 (2) ◽  
pp. 241-258 ◽  
Author(s):  
Neha Gupta ◽  
Irfan Ali ◽  
Abdul Bari
Keyword(s):  
Linear Programming ◽  
Programming Problem ◽  
Goal Programming ◽  
Linear Programming Problem ◽  
Real Data ◽  
Fuzzy Goal Programming ◽  
Programming Approach ◽  
Compromise Allocation ◽  
Fuzzy Goal ◽  
Interactive Fuzzy Goal Programming

In this paper, we applied an Interactive Fuzzy Goal Programming (IFGP) approach with linear, exponential and hyperbolic membership functions, which focuses on maximizing the minimum membership values to determine the preferred compromise solution for the multi-response stratified surveys problem, formulated as a Multi- Objective Non Linear Programming Problem (MONLPP), and by linearizing the nonlinear objective functions at their individual optimum solution, the problem is approximated to an Integer Linear Programming Problem (ILPP). A numerical example based on real data is given, and comparison with some existing allocations viz. Cochran?s compromise allocation, Chatterjee?s compromise allocation and Khowaja?s compromise allocation is made to demonstrate the utility of the approach.

FUZZY GOAL PROGRAMMING VS ORDINARY FUZZY PROGRAMMING APPROACH FOR MULTI OBJECTIVE PROGRAMMING PROBLEM

2013 ◽  
Vol 22 ◽  
pp. 757-761 ◽  
Author(s):  
KAILASH LACHHWANI
Keyword(s):  
Programming Problem ◽  
Membership Function ◽  
Goal Programming ◽  
Fuzzy Programming ◽  
Fuzzy Goal Programming ◽  
Programming Approach ◽  
Perpendicular Distance ◽  
Multi Objective Programming ◽  
Fuzzy Goals ◽  
Fuzzy Goal

This paper presents the comparison between two solution methodologies Fuzzy Goal Programming (FGP) and ordinary Fuzzy Programming (FP) for multiobjective programming problem. Ordinary fuzzy programming approach is used to develop the solution algorithm for multiobjective functions which works for the minimization of the perpendicular distances between the parallel hyper planes at the optimum points of the objective functions. Suitable membership function is defined as the supremum perpendicular distance and a compromise optimum solution is obtained as a result of minimization of supremum perpendicular distance. Whereas, In the FGP model formulation, firstly the objectives are transformed into fuzzy goals (membership functions) by means of assigning an aspiration level to each of them and suitable membership function is defined for each objectives. Then achievement of the highest membership value of each of fuzzy goals is formulated by minimizing the negative deviational variables.

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