Fuzzy Sets and Systems
On variational inequalities for fuzzy mappings
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Variational inequalities for fuzzy mappings (I)
Fuzzy Sets and Systems
Generalized convex functions and vector variational inequalities
Journal of Optimization Theory and Applications
Fuzzy Sets and Systems
Nonconvex functions and variational inequalities
Journal of Optimization Theory and Applications
On vector variational inequalities: application to vector equilibria
Journal of Optimization Theory and Applications
Variational inequalities for fuzzy mappings (II)
Fuzzy Sets and Systems
Convexity and local Lipschitz continuity of fuzzy-valued mappings
Fuzzy Sets and Systems
Properties of b-vex fuzzy mappings and applications to fuzzy optimization
Fuzzy Sets and Systems
Generalized strongly quasivariational inequalities for fuzzy mappings
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Completely generalized strongly quasivariational inequalities for fuzzy mappings
Fuzzy Sets and Systems
Variational inequalities for fuzzy mappings (III)
Fuzzy Sets and Systems
Invex and generalized convex fuzzy mappings
Fuzzy Sets and Systems
Generalization of preinvex and B-vex fuzzy mappings
Fuzzy Sets and Systems
Vector-valued variational principle in fuzzy metric space and its applications
Fuzzy Sets and Systems
On relations between vector optimization problems and vector variational inequalities
Journal of Optimization Theory and Applications
A class of convex fuzzy mappings
Fuzzy Sets and Systems
Generalized variational inequalities with fuzzy relation
Journal of Computational and Applied Mathematics - Special issue: Papers presented at the 1st Sino--Japan optimization meeting, 26-28 October 2000, Hong Kong, China
Nonconvex fuzzy mappings and the fuzzy pre-variational inequality
Fuzzy Sets and Systems
Convexity and semicontinuity of fuzzy mappings
Computers & Mathematics with Applications
Preinvexity and Φ1-convexity of fuzzy mappings through a linear ordering
Computers & Mathematics with Applications
On characterizations of preinvex fuzzy mappings
Computers & Mathematics with Applications
On invex fuzzy mappings and fuzzy variational-like inequalities
Fuzzy Sets and Systems
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In this paper, we introduce the concepts of some generalized convex fuzzy mappings from R^n to the set of fuzzy numbers. Under the condition of upper or lower semicontinuity, a new criterion be obtained for the existence of a fuzzy preinvex mapping: a fuzzy preinvex mapping can be achieved when the invex subset of R^n satisfies certain conditions. The relations between generalized convex fuzzy mappings are discussed, and some properties are obtained that relate the concepts of fuzzy pseudoinvex and fuzzy prequasiinvex mapping, fuzzy invex and fuzzy preinvex mapping, fuzzy preinvex and fuzzy prequasiinvex mapping. We also discuss the relationship between the fuzzy variational-like inequality (the fuzzy weak variational-like inequality) and fuzzy optimization problems, and an application example of a fuzzy variational-like inequality: the fuzzy variational-like inequality representation of a fuzzy transportation equilibrium problem.