Fuzzy Optimization and Modeling JournalFuzzy Optimization and Modeling Journal
http://fomj.qaemiau.ac.ir/
Fri, 19 Oct 2018 11:11:42 +0100FeedCreatorFuzzy Optimization and Modeling Journal
http://fomj.qaemiau.ac.ir/
Feed provided by Fuzzy Optimization and Modeling Journal. Click to visit.Fuzzy bi-level linear programming problem using TOPSIS approach
http://fomj.qaemiau.ac.ir/article_543187_116083.html
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.Thu, 20 Sep 2018 19:30:00 +0100