Solving linear programming problem with fuzzy resources by lu decomposition method

Choo, Pui Moon (2007) Solving linear programming problem with fuzzy resources by lu decomposition method. Universiti Malaysia Sabah. (Unpublished)

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Abstract

Fuzzy linear programming (FLP) has expanded rapidly over the years due to its effectiveness, and has caught many researchers' attention. This study is proposed to acquire a better solution for FLP problems applying numerical methods instead of the conventional method. To achieve the goal, this study is conducted with the objectives of defuzzifying LP problems with fuzzy resources, developing a numerical-based solver algorithm and obtaining the solutions using the algorithm developed. Two models of LP problems with fuzzy resources are presented. Each problem is defuzzified and converted to standard form in employing Werners's approach. An algorithm to obtain solutions for both problems is then developed by applying Crout's decomposition method in inverse basis method. Throughout the study. the simplex method via tableau is employed as the control metbod The results obtained suggested that the proposed method is capable to produce the similar result as the solution of the control method In terms of fuzzy set theory, the proposed method eventually generates a better solution than the solution of the control method. Ln conclusion, the proposed method is comparable to the control method, and is suitable to cope with real-world applications in various fields such as agriculture economics, manufacturing and production industry and environmental management.

Item Type: Academic Exercise
Uncontrolled Keywords: Fuzzy linear programming (FLP), numerical methods , defuzzifying LP problems , Werners's approach , Crout's decomplsilion method
Subjects: Q Science > QA Mathematics > QA76 Computer software
Depositing User: MDM FAUZIAH MATSIN
Date Deposited: 01 Apr 2014 04:54
Last Modified: 13 Oct 2017 01:49
URI: http://eprints.ums.edu.my/id/eprint/8641

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