Bilevel Decision with Generalized Semi-infinite Optimization for Fuzzy Mappings as Lower Level Problems

Authors:
Yeong-Cheng Liou;Soon-Yi Wu;Jen-Chih Yao
Affiliations:
Department of Information Management, Cheng Shiu University, Niasong Township, People's Republic of China 833;Department of Mathematics, National Cheng King University, Taiwan, Republic of China 701;Department of Applied Mathematics, National Sun Yat-sen University, Taiwan, People's Republic of China 80424
Venue:
Fuzzy Optimization and Decision Making
Year:
2005

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Abstract

In this paper, we introduce the bilevel decision problems with parametric generalized semi-infinite optimization for fuzzy mappings as the lower-level problem, and its corresponding MPEC problems. For these problems, we establish two models which are different in the feasible region setting of lower-level problems. Some new existence results are obtained in rather weak conditions.