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Modified FGP approach and MATLAB program for solving multi-level linear fractional programming problems

Journal of Industrial Engineering International 2015年第1期11卷 15-36页

作者： Lachhwani, Kailash Nehra, Suresh Department of Mathematics Government Engineering College Bikaner Bikaner 334 004 Rajasthan India Department of Electronics and Communication Engineering Government Engineering College Bikaner Bikaner 334 004 Rajasthan India

In this paper, we present modified fuzzy goal programming (FGP) approach and generalized MATLAB program for solving multi-level linear fractional programming problems (ML-LFPPs) based on with some major modifications in earlier FGP algorithms. In proposed modified FGP approach, solution preferences by the decision makers at each level are not considered and fuzzy goal for the decision vectors is defined using individual best solutions. The proposed modified algorithm as well as MATLAB program simplifies the earlier algorithm on ML-LFPP by eliminating solution preferences by the decision makers at each level, thereby avoiding difficulties associate with multilevel programming problems and decision deadlock situation. The proposed modified technique is simple, efficient and requires less computational efforts in comparison of earlier FGP techniques. Also, the proposed coding of generalizedMATLAB program based on this modified approach for solving ML-LFPPs is the unique programming tool toward dealing with such complex mathematical problems with MATLAB. This software based program is useful and user can directly obtain compromise optimal solution of MLLFPPs with it. The aim of this paper is to present modified FGP technique and generalizedMATLAB program to obtain compromise optimal solution of ML-LFP problems in simple and efficient manner. A comparative analysis is also carried out with numerical example in order to show efficiency of proposed modified approach and to demonstrate functionality of MATLAB program. © The Author(s) 2014.

关键词： Compromise optimal solution Fuzzy goal programming MATLAB program multi-level linear fractional programming problem

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