An algorithm of calculation of lower solutions of fuzzy relational equations.
This paper deals with the problem of the determination of lower solutions of fuzzy relational equations. An algorithm of calculation of such a solution is presented.
An Algorithm to Compute theTransitive Closure, a Transitive Approximation and a Transitive Opening of a Fuzzy Proximity.
An alternative approach to rough sets
An Approach for Selecting Appropriate Methods for Treating Uncertainty in Knowledge Based Systems
An architecture for making judgments using computing with words
Our thesis is that computing with words needs to account for the uncertainties associated with the meanings of words, and that these uncertainties require using type-2 fuzzy sets. Doing this leads to a proposed architecture for making it judgments by means of computing with words, i.e., to a perceptual computer-the Per-C. The Per-C includes an encoder, a type-2 rule-based fuzzy logic system, and a decoder. It lets all human-computer interactions be performed using words. In this paper, a quantitative...
An axiomatization of fuzzy classes.
An axiomatization of fuzzy classes more general than usual fuzzy sets is proposed. Connections and interpretations with other axiomatizations of set theory and fuzzy set theory are investigated.
An extension method for t-norms on subintervals to t-norms on bounded lattices
In this paper, a construction method on a bounded lattice obtained from a given t-norm on a subinterval of the bounded lattice is presented. The supremum distributivity of the constructed t-norm by the mentioned method is investigated under some special conditions. It is shown by an example that the extended t-norm on from the t-norm on a subinterval of need not be a supremum-distributive t-norm. Moreover, some relationships between the mentioned construction method and the other construction...
An extension of the ordering based on nullnorms
In this paper, we generally study an order induced by nullnorms on bounded lattices. We investigate monotonicity property of nullnorms on bounded lattices with respect to the -partial order. Also, we introduce the set of incomparable elements with respect to the F-partial order for any nullnorm on a bounded lattice. Finally, we investigate the relationship between the order induced by a nullnorm and the distributivity property for nullnorms.
An individual ergodic theorem for random fuzzy sets.
Analyse hiérarchique des préférences et généralisations de la transitivité
Approximations of lattice-valued possibilistic measures
Lattice-valued possibilistic measures, conceived and developed in more detail by G. De Cooman in 1997 [2], enabled to apply the main ideas on which the real-valued possibilistic measures are founded also to the situations often occurring in the real world around, when the degrees of possibility, ascribed to various events charged by uncertainty, are comparable only quantitatively by the relations like “greater than” or “not smaller than”, including the particular cases when such degrees are not...
Assignment problem with fuzzy estimates of effectiveness
Associative -dimensional copulas
The associativity of -dimensional copulas in the sense of Post is studied. These copulas are shown to be just -ary extensions of associative 2-dimensional copulas with special constraints, thus they solve an open problem of R. Mesiar posed during the International Conference FSTA 2010 in Liptovský Ján, Slovakia.
Axiomatizability in fuzzy logic