Abstract
This paper studies the variational inequality problem over a fuzzy domain and variational inequalities for fuzzy mappings over a fuzzy domain. It is shown that such problems can be reduced to bilevel programming problems. A penalty function algorithm is introduced with a convergence proof. Numerical examples are also included to illustrate the solution procedure.
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Fang, SC., Hu, CF. Solving Fuzzy Variational Inequalities. Fuzzy Optimization and Decision Making 1, 113–133 (2002). https://doi.org/10.1023/A:1013736011349
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DOI: https://doi.org/10.1023/A:1013736011349