In this paper the author presents a kind of Soft Computing Technique, mainly an application of fuzzy set theory of Prof. Zadeh [16], on a problem of Medical Experts Systems. The choosen problem is on design of a physician’s decision model which can take crisp as well as fuzzy data as input, unlike the traditional models. The author presents a mathematical model based on fuzzy set theory for phy...

People’s representations of most and arguably all linguistic and non-linguistic categories are probabilistic. However, in linguistic theory, quantifier meanings have traditionally been defined set-theoretically in terms of categorical evaluation functions. In 4 “adaptation” experiments, we provide evidence for the alternative hypothesis that quantifiers are represented as probability distributi...

The fast and accurate forecasting method can help makers to make appropriate strategy. Zadeh was given the definition of a fuzzy set in 1965. Song and Chissom proposed the definition and the forecasting framework of fuzzy time series in 1993. Sullivan and Woodall first proposed the forecasting method to handle one factor with probability Markov model in 1994. Li and Cheng proposed a stochastic ...

We propose a streaming algorithm to compute an approximate ellipse of a set of points. This extends the work of Zarrabi-Zadeh and Chan who proposed a very simple algorithm to compute a 3/2-approximate (in terms of radius) d-dimensional ball in the same model. We have been able to obtain only a very crude approximation ratio of 9k 4 √ 1−e2 (in terms of area), where e is the eccentricity of the m...

Rough set theory is a paradigm for approximate reasoning based on the assumption that concepts are divided into exact and non–exact (called also rough) ones by means of a topological structure induced by a representation of knowledge as a classification. A classification in its most simple form is an equivalence relation on a universe of objects; the classification induces a partition topology ...

1. Van Biesen W, Lameire N, Vanholder R. Why less success of the peritoneal dialysis programmes in Europe? Nephrol Dial Transplant 2008; 23: 1478–1481 2. Mehrotra R, March D, Vonesh E et al. Patient education and access of ESRD patients to renal replacement therapies beyond in-center hemodialysis. Kidney Int 2005; 68: 378–390 3. Khawar O, Kalantar-Zadeh K, Lo WK et al. Is the declining use of l...

TYPE-2 fuzzy sets (T2 FSs), originally introduced by Zadeh [3], provide additional design degrees of freedom in Mamdani and TSK fuzzy logic systems (FLSs), which can be very useful when such systems are used in situations where lots of uncertainties are present [4]. The implementation of this type-2 FLS involves the operations of fuzzification, inference,and output processing. We focus on ―outp...

Fuzzy set theory is considered as a suitable setting in order to take vagueness of real world problems into considerations. Operating with fuzzy dependencies among fuzzy data is a challenging problem, because it requires special arithmetic and a powerful optimization technique. The concept of fuzzy numbers and arithmetic operation with these numbers were first introduced and investigated by Zad...

In much of human reasoning, the form of reasoning is approximate rather than exact as in "A red apple is ripe and this apple is more or less red. Then this apple is more or less ripe.' L.A. Zadeh and E.H. Mamdani suggested methods for such a fuzzy reasoning as an application of fuzzy set theory. The method involves an inference rule and a conditional proposition which contains fuzzy concepts. I...

We study Wave Maps from R2+1 to the hyperbolic plane H2 with smooth compactly supported initial data which are close to smooth spherically symmetric initial data with respect to some H1+μ, μ > 0. We show that such Wave Maps don’t develop singularities in finite time and stay close to the Wave Map extending the spherically symmetric data(whose existence is ensured by a theorem of Christodoulou-T...