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

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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.

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Authors and Affiliations

  1. Department of Information Management, Cheng Shiu University, Niasong Township, No. 840. Chengcing Rd.,, 833, Taiwan, People’s Republic of China

    Yeong-Cheng Liou

  2. Department of Mathematics, National Cheng King University, Taiwan, Republic of China, 701

    Soon-Yi Wu

  3. Department of Applied Mathematics, National Sun Yat-sen University, Taiwan, Kaohsiung, People’s Republic of China, 80424

    Jen-Chih Yao

Authors
  1. Yeong-Cheng Liou
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  2. Soon-Yi Wu
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  3. Jen-Chih Yao
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Correspondence to Yeong-Cheng Liou.

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Liou, YC., Wu, SY. & Yao, JC. Bilevel Decision with Generalized Semi-infinite Optimization for Fuzzy Mappings as Lower Level Problems . Fuzzy Optim Decis Making 4, 41–50 (2005). https://doi.org/10.1007/s10700-004-5569-y

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