In this article, we introduce a new notion of generalized convex fuzzy mapping known as strongly preinvex on the invex set. Firstly, have investigated some properties mapping. particular, establish equivalence among mapping, and monotonicity. We also prove that optimality conditions for sum G-differentiable mappings non-G-differentiable can be characterized by mixed variational-like inequalitie...

The generalized fuzzy valued $theta$-Choquet integrals will beestablished for the given $mu$-integrable fuzzy valued functionson a general fuzzy measure space, and the convergence theorems ofthis kind of fuzzy valued integral are being discussed.Furthermore, the whole of integrals is regarded as a fuzzy valuedset function on measurable space, the double-null asymptoticadditivity and pseudo-doub...

In this paper, new classes of generalized (F,α,ρ, d)-V -type I functions are introduced for differentiable multiobjective programming problems. Based upon these generalized convex functions, sufficient optimality conditions are established. Weak, strong and strict converse duality theorems are also derived for Wolfe and Mond-Weir type multiobjective dual programs.

We consider two generalized Minty vector variational-like inequalities and investigate the relations between their solutions and vector optimization problems for non-differentiable α-invex functions.

We study generalized group actions on differentiable manifolds in the Colombeau framework, extending previous work on flows of generalized vector fields and symmetry group analysis of generalized solutions. As an application, we analyze group invariant generalized functions in this setting. Mathematics Subject Classification (2000): Primary: 46F30; secondary: 46T30, 35A30, 58E40

Multilayer fuzzy connective-based hierarchical aggregation networks provide a flexible and intuitive approach to decision analysis. This approach simulates the decisionmaking processes performed by humans, and the results can be interpreted as a set of rules with which to fashion an abstract model of the problem. Identifying the relative importance of the criteria helps to identify redundancies...

We prove the generalized Hyers-Ulam stability of the one-dimensional wave equation, u(tt) = c(2)u(xx), in a class of twice continuously differentiable functions.