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Title

Fuzzy bi-level linear programming problem using TOPSIS approach

Year: 1397
COI: JR_FOMJ-1-1_001
Language: EnglishView: 228
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Authors

Shyamali Ghosh - Dept. of Applied Mathematics with Ocenology and Computer Programming,Vidyasaghar University, India
Sankar Kumar Roy - Department of Applied Mathematics with Oceanology and Computer Programming

Abstract:

This paper deals with a class of bi-level linear programming problem (BLPP) with fuzzy data. Fuzzy data are mainly considered to design the real-life BLPP. So we assume that the coefficients and the variables of BLPP are trapezoidal fuzzy numbers and the corresponding BLPP is treated as fuzzy BLPP (FBLPP). Traditional approaches such as vertex enumeration algorithm, Kth-best algorithm, Krush-Kuhn-Tucker (KKT) condition and Penalty function approach for solving BLPP are not only technically inefficient but also lead to a contradiction when the follower’s decision power dominates to the leader’s decision power. Also these methods are needed to solve only crisp BLPP. To overcome the difficulty, we extend Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) in fuzzy environment with the help of ranking function. Fuzzy TOPSIS provides the most appropriate alternative solution based on fuzzy positive ideal solution (FPIS) and fuzzy negative ideal solution (FNIS). An example is included how to apply the discussed concepts of the paper for solving the FBLPP.

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Paper COI Code

This Paper COI Code is JR_FOMJ-1-1_001. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/1043597/

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If you want to refer to this Paper in your research work, you can simply use the following phrase in the resources section:
Ghosh, Shyamali and Roy, Sankar Kumar,1397,Fuzzy bi-level linear programming problem using TOPSIS approach,https://civilica.com/doc/1043597

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