In this paper, we first consider the disjoint union of two fuzzy metric spaces and non-existence of fuzzy contractive maps. We prove that there exists a natural fuzzy metric on the disjoint union of two fuzzy metric spaces. We also show that there is a fuzzy metric space which does not admit any fuzzy contractive map. Second, we introduce the notion of a fuzzy diameter for fuzzy metric spaces a...

Molodstov introduced soft sets to deal with uncertainties and not clear objects. Researchers developed the relationship between soft sets and information systems. Fuzzification of the notions of soft sets and soft topology have been discussed in the literature. In this paper, we define and establish the topological structures of fuzzy soft semi-open sets and fuzzy soft semi-closed sets. We intr...

A fuzzy approximation method called fuzzy transforms for approximation of continuous function is presented in this paper. It is shown how can be fuzzy transforms naturally generalized for functions with more variables. A fuzzy function as an approximated mapping is considered. This leads to an extension of fuzzy transforms for fuzzy function as well as to an extension of generalized fuzzy trans...

Fuzzy Protégé is a semi-automatic collaborative tool for the construction of fuzzy ontology models, built as a Protégé 3.3.1 tab plug-in. Fuzzy Protégé is an extension of the well known ontology editor Protégé for which we have defined new meta-classes to allow the definition of parameterized membership functions. Fuzzy Protégé also gives support to instantiate fuzzy concepts and roles and allo...

A considerable amount of fuzzy spatial data emerged in various applications leads to investigation of fuzzy spatial data and their fuzzy relations. Because of complex requirements, it is challenging to propose a general fuzzy spatial relationship representation and a general algorithm for determining all fuzzy spatial relations. This paper, presents a general characterization of representing fu...

1. UNCERTAINTY: ONE MUST FIGHT, BUT ONE CAN’T WIN 9 1.1. To recognize a situation 9 1.2 Predicting tomorrow 11 1.3 An expert and his cognitive activity 12 1.4 Statistics and quasi-statistics 13 2. FUZZY SETS COME TO THE AID 14 2.1 The Carrier 14 2.2 Fuzzy set 15 2.3 The Function of Belonging 15 2.4 The Linguistic Variable 15 2.5 Operations on fuzzy sub-sets 16 2.6 Fuzzy numbers and operations o...

This paper studies fuzzy relations in the graded framework of Fuzzy Class Theory (FCT). This includes (i) rephrasing existing work on graded properties of binary fuzzy relations in the framework of Fuzzy Class Theory and (ii) generalizing existing crisp results on fuzzy relations to the graded framework. Our particular aim is to demonstrate that Fuzzy Class Theory is a powerful and easy-to-use ...

The unavoidable imprecision of measurements of continuous physical quantities can be modelled by using the concept of fuzzy numbers and fuzzy vectors. Concerning a quantitative usage of such data the classical concept of relative frequencies for real data has to be extended to so-called fuzzy relative frequencies for fuzzy data, whereby the fuzzy relative frequency of a set is a fuzzy number. A...

this paper firstly generalizes majority vote to fuzzy majority vote, then proposes a cluster matching algorithm that is able to establish correspondence among fuzzy clusters from different fuzzy partitions over a common data set. Finally a new combination model of fuzzy partitions is build on the basis of the proposed cluster matching algorithm and fuzzy majority vote. Comparative results show ...

-This study addresses a fuzzy Lyapunov method for the stability analysis of time-delay fuzzy systems subject to external disturbances. The Takagi-Sugeno (T-S) fuzzy model and parallel distributed compensation (PDC) scheme are first employed to design a nonlinear fuzzy controller in order to stabilize the time-delay fuzzy systems. According to the controlled system, the H infinity criterion is d...