In this paper, a design method for a robust PI/PID controller for fuzzy parametric uncertain systems is proposed. An uncertain Linear Time Invariant (LTI) system with fuzzy coefficients is referred as fuzzy parametric uncertain system. The fuzzy coefficients are approximated by intervals (crisp sets) using the nearest interval approximation approach to obtain an interval system. Further, a robu...

In this paper, we introduce the design of fuzzy respective space-based neuro-fuzzy networks for pattern recognition. The proposed networks are realized by partitioning of the fuzzy respective input space to generate the fuzzy rules. The respectively partitioned spaces using fuzzy respective input space express the rules of the networks. The consequence part of the rules is represented by polyno...

This article deals with the new approach of finding defuzzification / ranking index various types fuzzy sets. Traditionally, in most articles on decision making methods are not justified respect to that highest aspiration levels. study highlights an efficient (ranking) method which links between gaps defuzzified values obtained using ?-cuts and without numbers. Moreover, for a given problem dif...

Takagi–Sugeno (TS) fuzzy systems have been employed as fuzzy controllers and fuzzy models in successfully solving difficult control and modeling problems in practice. Virtually all the TS fuzzy systems use linear rule consequent. At present, there exist no results (qualitative or quantitative) to answer the fundamentally important question that is especially critical to TS fuzzy systems as fuzz...

For the stability analysis of a polynomial fuzzy system, new membership function approach is proposed to reduce conservatism. In this article, based on state-feedback closed-loop polynomials fitting method utilized, and an improved transformation technique approximate functions system. Then, membership-function-dependent polynomial-based conditions are derived. The obtained approximation errors...

In many practical applications, it is useful to represent a function f(x) by its fuzzy transform, i.e., by the “average” values Fi = ∫ f(x) ·Ai(x) dx ∫ Ai(x) dx over different elements of a fuzzy partition A1(x), . . . , An(x) (for which Ai(x) ≥ 0 and n ∑ i=1 Ai(x) = 1). It is known that when we increase the number n of the partition elements Ai(x), the resulting approximation get closer and cl...

We consider information-theoretic key agreement between two parties sharing somewhat different versions of a secret w that has relatively little entropy. Such key agreement, also known as information reconciliation and privacy amplification over unsecured channels, was shown to be theoretically feasible by Renner and Wolf (Eurocrypt 2004), although no protocol that runs in polynomial time was d...

Among private set operations, the privacy preserving element reduction of a multiset can be an important tool for privacy enhancing technology as itself or in the combination with other private set operations. Recently, a protocol, over-threshold-set-union-protocol, for a privacy preserving element reduction method of a multiset was proposed by Kissner and Song in Crypto 2005. In this paper, we...