In this paper, a unified fuzzy H∞ control approach is proposed to deal with the problem of synchronization of two different hyperchaotic systems. The T–S fuzzy models with a small number of fuzzy IF-THEN rules are employed to represent many typical hyperchaotic systems exactly. Based on the T–S fuzzy hyperchaotic models, a fuzzy H∞ synchronization controller is designed via parallel distributed...

The problem of robust H∞ fuzzy state feedback and dynamic output feedback control for uncertain fuzzy descriptor systems is discussed. In the case that time-varying uncertainties are in all parameter matrices except E, sufficient conditions for the existence of fuzzy state feedback and dynamic output feedback robust H∞ controllers are given in terms of LMI. The fuzzy state feedback control law ...

We propose the concept of up and down harmonically convex mapping for fuzzy-number-valued as our main goal in this work. With help fuzzy-number convexity fuzzy fractional integral operator, we also show results Hermite–Hadamard (H–H) inequality, Fejér type some other related versions inequalities. Moreover, examples are presented to discuss validity results. The from new technique how suggested...

In this paper, the concept of (∈γ ,∈γ ∨qδ)-fuzzy soft hinterior ideals over a hemiring is introduced and investigated. Some characterization theorems of h-semisimple hemirings are derived in terms of (∈γ ,∈γ ∨qδ)-fuzzy soft left (right) h-ideals and (∈γ ,∈γ ∨qδ)-fuzzy soft hinterior ideals. 2010 AMS Classification: 20M12, 08A72

in this paper, a new approach for solving the second order fuzzy differential equations (fde) with fuzzy initial value, under strongly generalized h-differentiability is presented. solving first order fuzzy differential equations by extending 1-cut solution of the original problem and solving fuzzy integro-differential equations has been investigated by some authors (see for example cite{darabi...

Starting from a unified treatment of uncertainty by combining probability and fuzzy set theory [1], Goodman [2] put forward the equivalence between a fuzzy set and a class of random sets. Falling shadow representation theory was established based on the collection of Wang and Sanchez [3], which is directly related to the concept of probabilistic fuzzy set membership function. The theory shows t...

In this paper, we consider the characterization of h -semisimple hemirings. First, the notions of ( , ) q ∈∈∨ -fuzzy h -ideals and ( , ) q ∈∈∨ -fuzzy h -interior ideals of a hemiring are introduced, and some of their properties are investigated. Then the concept of h -semisimple hemirings is introduced and its characterizations are established.

In the present paper, we introduce and study a fuzzy vector equilibrium problem and prove some existence results with and without convexity assumptions by using some particular forms of results of textit{Kim} and textit{Lee} [W.K. Kim and K.H. Lee, Generalized fuzzy games and fuzzy equilibria, Fuzzy Sets and Systems, 122 (2001), 293-301] and textit{Tarafdar} [E. Tarafdar, Fixed point theorems i...