Construction of the class FN
Construction of uninorms on bounded lattices
In this paper, we propose the general methods, yielding uninorms on the bounded lattice , with some additional constraints on for a fixed neutral element based on underlying an arbitrary triangular norm on and an arbitrary triangular conorm on . And, some illustrative examples are added for clarity.
Continuity of fuzzy multifunctions.
Contra -continuity in smooth fuzzy topological spaces
In this paper the concept of fuzzy contra -continuity in the sense of A. P. Sostak (1985) is introduced. Some interesting properties and characterizations are investigated. Also, some applications to fuzzy compact spaces are established.
Convergence on vector spaces with -localisation.
Convex -fuzzy remote neighborhood operators
In this paper, two kinds of remote neighborhood operators in -fuzzy convex spaces are proposed, which are called convex -fuzzy remote neighborhood operators. It is proved that these two kinds of convex -fuzzy remote neighborhood operators can be used to characterize -fuzzy convex structures. In addition, the lattice structures of two kinds of convex -fuzzy remote neighborhood operators are also given.
Cut properties of resemblance
The resemblance relation is used to reflect some real life situations for which a fuzzy equivalence is not suitable. We study the properties of cuts for such relations. In the case of a resemblance on a real line we show that it determines a special family of crisp functions closely connected to its cut relations. Conversely, we present conditions which should be satisfied by a collection of real functions in in order that this collection determines a resemblance relation.
Decision Theory Based on Non-Additive Measures
Derived operations in Goguen categories.
DFIS: A novel data filling approach for an incomplete soft set
The research on incomplete soft sets is an integral part of the research on soft sets and has been initiated recently. However, the existing approach for dealing with incomplete soft sets is only applicable to decision making and has low forecasting accuracy. In order to solve these problems, in this paper we propose a novel data filling approach for incomplete soft sets. The missing data are filled in terms of the association degree between the parameters when a stronger association exists between...
Dimension theory and fuzzy topological spaces.
Discussion of the structure of uninorms
The paper deals with binary operations in the unit interval. We investigate connections between families of triangular norms, triangular conorms, uninorms and some decreasing functions. It is well known, that every uninorm is build by using some triangular norm and some triangular conorm. If we assume, that uninorm fulfils additional assumptions, then this triangular norm and this triangular conorm have to be ordinal sums. The intervals in ordinal sum are depending on the set of values of a decreasing...
Disjointness of fuzzy coalitions
The cooperative games with fuzzy coalitions in which some players act in a coalition only with a fraction of their total “power” (endeavor, investments, material, etc.) or in which they can distribute their “power” in more coalitions, are connected with some formal or interpretational problems. Some of these problems can be avoided if we interpret each fuzzy coalition as a fuzzy class of crisp coalitions, as shown by Mareš and Vlach in [9,10,11]. The relation between this model of fuzziness and...
Distributivity of ordinal sum implications over overlap and grouping functions
In 2015, a new class of fuzzy implications, called ordinal sum implications, was proposed by Su et al. They then discussed the distributivity of such ordinal sum implications with respect to t-norms and t-conorms. In this paper, we continue the study of distributivity of such ordinal sum implications over two newly-born classes of aggregation operators, namely overlap and grouping functions, respectively. The main results of this paper are characterizations of the overlap and/or grouping function...
Doubt fuzzy BCI-algebras.
Dual meaning of verbal quantities
The aim of the paper is to summarize and interpret some ideas regarding effective processing of vague data. The main contribution of the submitted approach consists in respecting the fact that vague data can be decomposed into two parts. The numerical one, describing the quantitative value of such data, and the semantic one characterizing the qualitative structure of the vagueness included into them. This partition of vague verbal data leads to a significant simplification of their practical processing,...
Dualidad en la programación lineal en subconjuntos difusos.
La programación lineal sobre subconjuntos difusos, definida por Zimmermann, se desarrolla en estrecha relación con la definición de las funciones pertinentes funciones de pertenencia. Se estudia la dualidad difusa, ligada a la dualidad en los problemas de programación lineal con multicriterios.
Editorial: Quantum structures, states and related topics
El problema del árbol minimal para grafos difusos.
Basándonos en algunas definiciones previas, se analiza el problema del árbol generador difuso. En primer lugar se trata su existencia y después se encuentra el árbol generador difuso de mínimo costo mediante una descomposición por α-cortes. El estudio se realiza para dos estructuras diferentes de costos.
Entropy of -sums and -products of - fuzzy numbers
In the paper the entropy of – fuzzy numbers is studied. It is shown that for a given norm function, the computation of the entropy of – fuzzy numbers reduces to using a simple formula which depends only on the spreads and shape functions of incoming numbers. In detail the entropy of –sums and –products of – fuzzy numbers is investigated. It is shown that the resulting entropy can be computed only by means of the entropy of incoming fuzzy numbers or by means of their parameters without the...