Sometime in modeling applied problems there may be a degree of uncertainty in the parameters used in the model or some measurements may be imprecise. Due to such features, we are tempted to consider the study of functional equations in the fuzzy setting. The notion of fuzzy sets was first introduced by Zadeh [31] in 1965 which is a powerful hand set for modeling uncertainty and vagueness in var...

In this work we propose an approach to encode real objects represented by feature vectors into fuzzy concepts. A system is designed, whose main component is an adaptive fuzzy encoder which learns object membership degrees to fuzzy concepts from a set of objects and the expert’s crisp assignment to a concept. To properly use the expert’s crisp choices, the learning is performed with the help of ...

In this paper we presented an architecture and basic learning process underlying in fuzzy inference system and adaptive neuro fuzzy inference system which is a hybrid network implemented in framework of adaptive network. In real world computing environment, soft computing techniques including neural network, fuzzy logic algorithms have been widely used to derive an actual decision using given i...

In this paper, first we have established two sets of sufficient conditions for a TS-IF contractive mapping to have unique fixed point in a intuitionistic fuzzy metric space. Then we have defined ( ε , λ ) IF-uniformly locally contractive mapping and η− chainable space, where it has been proved that the ( ε , λ ) IF-uniformly locally contractive mapping possesses a fixed point.

Abstract. This paper presents a new ontology mapping method between a source ontology and a target one considered as a reference. Both ontologies are composed of triplets of the form (object, characteristic, value). Values describing the objects of the reference ontology are hierarchically organized using the a kind of relation. The proposed method considers the ontology mapping problem as a ru...

With increased application of fuzzy logic in complex control systems, there is a need for a structured methodological approach in the development of fuzzy logic systems. Current fuzzy logic systems are developed based on individualistic bases and cannot face the challenge of interacting with other (fuzzy) systems in a dynamic environment. In this chapter a method for development of fuzzy system...

In modern mathematics, many concepts and ideas are described in terms of category theory. From this viewpoint, it is desirable to analyze what can be determined if, instead of the basic category of sets, we consider a similar category of fuzzy sets. In this paper, we describe a natural fuzzy analog of the category of sets and functions, and we show that, in this category, fuzzy relations (a nat...

In this paper we deal with the problem of the relationship between the equipotency defined a s a consequence of a given definition of scalar cardinality of a fuzzy set and the existence of a bijection between fuzzy sets, which also depends on the definition of fuzzy function or fuzzy mapping between fuzzy sets. We investigate the main definitions and we introduce an intermediate one that is a n...