Network design problem with congestion effects: A case of bilevel programming
Mathematical Programming: Series A and B
Mathematical Programming: Series A and B
Mathematical Programming: Series A and B
Mathematical Programming: Series A and B
Double penalty method for bilevel optimization problems
Annals of Operations Research - Special issue on hierarchical optimization
Fuzzy set theory—and its applications (3rd ed.)
Fuzzy set theory—and its applications (3rd ed.)
Exact and inexact penalty methods for the generalized bilevel programming problem
Mathematical Programming: Series A and B
Fuzzy Optimization and Decision Making
Generalized convex fuzzy mappings and fuzzy variational-like inequality
Fuzzy Sets and Systems
Computers and Industrial Engineering
Journal of Computational and Applied Mathematics
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This paper studies generalized variational inequalities with fuzzy relation. It is shown that such problem can be reduced to a regular optimization problem with variational inequality constraints. A penalty function algorithm is introduced with a convergence proof, and a numerical example is included to illustrate the solution procedure.