Variational Inequality with Fuzzy Convex Cone

Authors:
Hsiao-Fan Wang;Hsueh-Ling Liao
Affiliations:
Department of Industrial Engineering, National Tsing-Hua University, Hsinchu, Taiwan, Republic of China;Department of Industrial Engineering, National Tsing-Hua University, Hsinchu, Taiwan, Republic of China
Venue:
Journal of Global Optimization
Year:
1999

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Abstract

In this study, we discuss one type of variational inequality problem with a fuzzy convex cone \tilde{X}, denoted by VI(\tilde{X}, f). Different classes of fuzzy convex cones which are considered in different context of the problems will be discussed. According to the existence theorem, an approach derived from the concepts of multiple objective mathematical programming problems for solving the VI(\tilde{X}, f) is proposed. An algorithm is developed to find its fuzzy optimal solution set with complexity analysis.