We employ a fuzzy optimality condition for the Fréchet subdifferential and some advanced techniques of variational analysis such as formulae subdifferentials an infinite family nonsmooth functions coderivative scalarization to investigate robust duality nonsmooth/nonconvex multiobjective optimization problem dealing with uncertain constraints in arbitrary Asplund spaces. establish necessary con...

In this paper, a new fuzzy interpolative reasoning method is proposed for the sparse rule bases by using the highest points and slopes of the antecedent and consequent fuzzy sets. The proposed fuzzy reasoning methods are not only suitable for the four kinds of fuzzy sets in inference rules, but also can guarantee the convexity and normality of the reasoning consequence. Furthermore, the computa...

Convex and non-convex fuzzy mappings are well known to be important in the research of optimization. Symmetry idea convexity closely related. Therefore, concept symmetry is discussion inequalities because how its definition behaves. This study aims consider new class generalized variational-like inequality for mapping which as perturbed mixed inequality. We also introduce strongly variational i...

The objective of this paper is to deal with the fuzzy conic programming problems. The aim here is to derive weak and strong duality theorems for a general fuzzy conic programming. Toward this end, The convexity-like concept of fuzzy mappings is introduced and then a specific ordering cone is established based on the parameterized representation of fuzzy numbers. Under this setting, duality theo...