in previous studies we first concentrated on utilizing crisp simulationto produce discrete event fuzzy systems simulations. then we extendedthis research to the simulation of continuous fuzzy systems models. in this paperwe continue our study of continuous fuzzy systems using crisp continuoussimulation. consider a crisp continuous system whose evolution depends ondifferential equations. such a ...

Due to the increasing use of very large databases and data warehouses, mining useful information and helpful knowledge from transactions is evolving into an important research area. Most conventional data-mining algorithms identify the relationships among transactions using binary values and 7nd rules at a single concept level. Transactions with quantitative values and items with hierarchy rela...

Recently, the distributivity of fuzzy implications over t-norms, t-conorms and uninorms was studied in many articles. In this paper we characterize functions which satisfy one of the four generalized distributivity equations of classical implication in the case when t-conorms are continuous and Archimedean. Using the obtained characterizations we describe some solutions which are fuzzy implicat...

In this paper, a new class of multifunctions, called generalized $alpha(mu_{X},mu_{Y})$-continuous multifunctions, has been dened and studied. Some characterizations and several properties concerning generalized $alpha(mu_{X},mu_{Y})$-continuous multifunctions are obtained. The relationships between generalized $alpha(mu_{X},mu_{Y})$-continuous multifunctions and some known concepts are also di...

In this paper, the well-known Egoroff’s theorem in classical measure theory is established on Sugeno fuzzy measure spaces. Taylor’s theorem, which concerns almost everywhere convergence of measurable function sequence in classical measure theory, is also generalized. The converse problem of the theorems are discussed, and a necessary and sufficient condition for the Egoroff’s theorem is obtaine...

The generalized design principle of TS fuzzy observers for one class of continuous-time nonlinear MIMO systems is presented in this paper. The problem addressed can be indicated as a descriptor system approach to TS fuzzy observers design, implying the asymptotic convergence of the state observer error. A new structure of linear matrix inequalities is outlined to possess the observer asymptotic...

Hydraulic differential electric servo cylinders are electromechanical tools applicable for driving e.g. manipulators. Actual models are strongly nonlinear, coupled systems of differential equations. In the present paper we propose a new model using fuzzy differential equations under strongly generalized differentiability concept. The key point is a continuous fuzzyfication of the signum functio...

Since almost all practical problems are fuzzy and approximate, fuzzy decision making becomes one of the most important practical approaches. However, the resulting problems are frequently complicated and difficult to solve. One effective way to overcome these difficulties is to explore the concavity or generalized concavity properties of the resulting problems. In this paper, we introduce and s...

in this paper, we have de ned and studied a generalized form of topological vectorspaces called s-topological vector spaces. s-topological vector spaces are de ned by using semi-open sets and semi-continuity in the sense of levine. along with other results, it is provedthat every s-topological vector space is generalized homogeneous space. every open subspaceof an s-topological vector space is ...