this paper analyzes a linear system of equations when the righthandside is a fuzzy vector and the coefficient matrix is a crisp m-matrix. thefuzzy linear system (fls) is converted to the equivalent crisp system withcoefficient matrix of dimension 2n × 2n. however, solving this crisp system isdifficult for large n because of dimensionality problems . it is shown that thisdifficulty may be avoide...

Properties valid on the classical theory (Boolean laws) have been extended to fuzzy set theory and so-called Boolean-like laws. The fact that they are not always valid in any standard fuzzy set theory induced a wide investigation. In this paper we show the sufficient and necessary conditions that the Boolean-like law y ≤ I(x, y) holds in fuzzy logic. We focus the investigation on the following ...

The objective of the current paper is to incorporate new class and concepts convexity Hermite–Hadamard inequality with fuzzy Riemann integral operators because almost all classical single-valued interval-valued convex functions are special cases fuzzy-number valued mappings. Therefore, a nonconvex mapping in environment has been defined; up down h-pre-invex mappings (U.D F-N∙V∙Ms). With help th...

Users are often interested in answers to vaguely defined questions that. are nat,ural for human but. inconvenient for the machine. The traditional query languages manage binary queries only. In t,his paper we suggest how to construct fuzzy queries t,hat apply to random data. We reach our goal by combining fuzzy query wit,h a suitable stat.ist.ica1 test. for fuzzy hypotheses.

Ranking of fuzzy numbers play an important role in decision making, optimization, forecasting etc. Fuzzy numbers must be ranked before an action is taken by a decision maker. Cheng (Cheng, C. H. (1998). A new approach for ranking fuzzy numbers by distance method. Fuzzy Sets and Systems, 95, 307–317) pointed out that the proof of the statement ‘‘Ranking of generalized fuzzy numbers does not depe...

In this paper, the problems of stability analysis and H∞ controller design of a class of switched nonlinear systems are investigated. In a classical way, the modeling of the systems is approached by switched fuzzy systems, and both fast switching and slow switching are considered there. In particular, for slow switching scheme, a new mode-dependent average dwell time switching is proposed for t...

This paper addresses the robust H∞ fuzzy control problem for nonlinear uncertain systems with state and input time delays through Takagi–Sugeno (T–S) fuzzy model approach. The delays are assumed to be interval time-varying delays, and no restriction is imposed on the derivative of time delay. Based on Lyapunov–Krasoviskii functional method, delay-dependent sufficient conditions for the existenc...

This paper deals with resilient robust H∞ fuzzy control problem for a class of nonlinear time-delayed systems with norm-bounded and time-varying uncertainties in the matrices of state, delayed state and control gain via state feedback controllers. Firstly, the nonlinear system is represented by Takagi-Sugeno (TS) fuzzy model. Sufficient conditions are derived for the existence of resilient robu...

In this paper, we investigate the problem of non-fragile H∞ fuzzy control design for continuous Takagi Sugeno (T-S) fuzzy systems with uncertainties, external disturbance and unmeasurable state variables. For the case of controller and observer gain additive variations, we propose a new solution of the fragility problem by developing the non-fragile design schemes ensuring the asymptotic stabil...