Ranking of fuzzy numbers plays a very important role in linguistic decision making and some other fuzzy application systems. Several strategies have been proposed for ranking of fuzzy numbers. Each of these techniques has been shown to produce nonintuitive results in certain cases. In this paper, some new approaches for ranking of trapezoidal fuzzy numbers are introduced. Keywords— Magnitude of...

Fuzzy classification rules are widely considered a well-suited representation of classification knowledge, as they allow readable and interpretable rule bases. The goal of this paper is to discuss the shapes of the resulting classification borders under consideration of different types of fuzzy sets, rule bases and t-norms and thus which class distributions can be represented by such classifica...

The aim of this paper is to present experimental validation results of an energy management system for hybrid electrical vehicles based on type-2 fuzzy logic. The energy management system (EMS) is designed by extracting knowledge from several experts using surveys. The consideration of interval type-2 fuzzy sets enables modeling the uncertainty in the answers of the experts. The validation of t...

Fuzzy measures have been widely used to determine the degrees of subjective importance of evaluation items. However, the leniency error may exist when most attributes are assigned unduly high ratings. Because respondents often assign similarly complimentary scores, errors of positive leniency make it difficult to differentiate the importance of decision attributes. To reduce positive leniency i...

The efficient selection of relevant extents is an important issue for investigation in formal concept analysis. The notion of stability has been adopted for this reasoning. We present three different methods for evaluation of stability and we summarize the comparative remarks.

The paper presents results on factorization by similarity of fuzzy concept lattices with hedges. Factorization of fuzzy concept lattices including a fast way to compute the factor lattice was presented in our earlier papers. The basic idea is to have, instead of a whole fuzzy concept lattice, its factor lattice. The factor lattice results by factorizing the original fuzzy concept lattice by a s...

I n this paper, we review a new definition of fuzzy functional dependency based on conditional probability and i ts application to approximate data reduction related to operation of projection in classical relational database in order to construct fuzzy integrity constraints [l]. W e introduce the concept of partial fuzzy functional dependency which expresses the fact that a given attribute X d...

The most general algebraic structure of truth-values considered in the theory of fuzzy concept analysis to evaluate the attributes and objects has been a lattice. However, in some examples arises the necessity of a more general structure. In this paper we investigate the use of multilattices as underlying set of truth-values for these attributes and objects.

Continuing our categorical study of L-fuzzy extensions of formal concept analysis, we provide a representation theorem for the category of L-Chu correspondences between L-formal contexts and prove that it is equivalent to the category of completely lattice L-ordered sets.