Non-L-R Type Fuzzy Parameters in Mathematical Programming Problems

作者：Hu Cheng Feng^*; Adivar Murat; Fang Shu Cherng

来源：IEEE Transactions on Fuzzy Systems, 2014, 22(5): 1062-1073.

DOI：10.1109/TFUZZ.2013.2279691

• Fuzzy decision making
• fuzzy optimization
• fuzzy set theory
• mathematical programming
• membership function
• triangular norms

The triangular norm-based operations in fuzzy logic usually lead to non-L-R type fuzzy sets. This study considers mathematical programming problems with non-L-R type fuzzy parameters. It shows that the fuzzy solutions to such problems can be obtained by solving an optimization problem on a mixed domain. The necessary and sufficient conditions for solving the resulting optimization problems are investigated by employing the theory of convex optimization on mixed domains. This is the first attempt to solve the fuzzy optimization problem with non-L-R type membership functions in view of optimization problems on a mixed domain.

• 出版日期2014-10