The original aim of this research was the introduction of a compositive measure of information (see e.g. [5]) on a class (an algebra) of fuzzy subsets of an universe f2. However, there is a bijection between the class of compositive informations and the class of decomposable measures (see e.g. [2]). Therefore, we restated our problem as the one of the construction of a decomposable measure over...

Knowledge discovery and data mining have been become very important in our society where the amount of data double almost every year. In these complex databases, much information is often hidden as trends, dependencies and relationships. Data mining is the process of acquiring knowledge, such as behavioral patterns, associations, and significant structures from data, and transforming this infor...

In this paper, the relationships between semicontinuity and preinvexity of fuzzy mappings are investigated. The concepts of intermediate-point preinvex fuzzy mappings and weakly preinvex fuzzy mappings are first introduced, and the authors establish a characterization for a weakly preinvex fuzzy mapping in terms of its epigraph. In this context, a characterization of a preinvex fuzzy mapping in...

Nowadays fuzzy neural networks have been successfully applied to intelligent diagnosis of many diseases. This paper applies union-based fuzzy neural networks to intelligent diagnosis of hepatitis disease that is very common in the world and needs to be diagnosed exactly. Union-based fuzzy neural networks can guarantee a reduced knowledge base with subset of all possible rules by allowing union ...

The quotient operator plays an important role for query evaluation in relational databases. Its extension to fuzzy databases raises the question of the intended interpretation of the intermediary degrees attached to the items in the fuzzy relations. This note points out that the fuzzy quotient operator should be defined in slightly different ways depending on the possible interpretations of the...

A defuzzification function assigns to each fuzzy set a crisp value in a way that this value may intuitively be understood as the “centre” of the fuzzy set. In the present paper, this vague concept is put into a mathematically rigorous form. To this end, we proceed analogously to the case of sharply bordered subsets, for which the Steiner point is frequently used. The function assigning to each ...

Vehicular ad hoc networks have been attracting the interest of both academic and industrial communities on account of their potential role in Intelligent Transportation Systems (ITS). However, due to vehicle movement and fading in wireless communications, providing a reliable and efficient multi-hop broadcast service in vehicular ad hoc networks is still an open research topic. In this paper, w...

The use of the fuzzy scale ofmeasurement to describe an important number of observations from real-life attributes or variables is first explored. In contrast to other well-known scales (like nominal or ordinal), a wide class of statistical measures and techniques can be properly applied to analyze fuzzy data. This fact is connected with the possibility of identifying the scale with a special s...

This paper proposes an efficient algorithm for Fuzzy based Metagraph ADT (Abstract Data Type). It is a hierarchical data structure where every node has one or more data. A mathematical model which encompasses both data type and the functions that operate on the data type is called as an ADT. Fuzzy set ADT integrated with Fuzzy Metagraph can perform different operations such as Union, Intersecti...

Fuzzy classification rules allow the definition of readable and interpretable rule bases. Nevertheless, the shape of the resulting class borders of fuzzy classification rules depends to a great part on the used tnorm and t-conorm and can sometimes even be counter-intuitive. In this paper we discuss the shape of class borders between overlapping rules under consideration of different t-norms and...