In this paper, we introduce the notions of fuzzy topological subalgebras and ideals in K-algebras, and investigate some of their properties. We also discuss the properties of homomorphic image and inverse image of fuzzy topological ideals of K-algebras.

This paper presents a new fuzzy group decision-making approach by using probabilities and ordered weighted averages (OWA). Thus, we are able to assess the problem considering probabilistic information and the attitudinal character of the decision maker. For doing so, the fuzzy generalized probabilistic OWA (FGPOWA) operator is presented. It is an aggregation operator that unifies the probabilit...

An interactive procedure for generating a user-tailored fuzzy preference relation on intervals is proposed. This procedure allows the decision maker to choose a preference relation which suits best his intuition. The procedure is easy to use (it makes use of graphical representation) and general enough to comprise, as special cases, the intervals proposed in the literature.

The law of contraposition with respect to a negation (usually strong) is one of the most studied properties in the theory of fuzzy implication functions. We already know some methods for modifying an implication with the aim that the new implication satisfies this property, these methods are called contrapositivisation. In this paper we present two new methods of contrapositivisation with respe...

In this paper we discuss several characterizations of fuzzy P-spaces and the conditions under which fuzzy topological spaces become fuzzy P-spaces, are investigated.

In this review article we present results regarding the fuzzy order relations.The concept of fuzzy order was introduced by generalizing the notion of reflexivity, antisymmetric and transitivity.

AHP (Analytic Hierarchy Process) has been widely used in decision making. Inner dependence method AHP is one technique even in case of criteria have dependency. However using original AHP or Inner dependence method, the results often lose reliability because the comparison matrix does not always have sufficient consistency. In these cases, fuzzy representation for weighting criteria and alterna...

Given a Brouwerian complete lattice (L,≤) and two referential sets K and E, and using a fuzzy relation R ∈ L which is reflexive and symmetric, certain fuzzy relations Ĥ ∈ L are characterized as solutions of X C R = X. These solutions Ĥ can be determinated by means of the L-fuzzy concepts associated with the K-labeled L-fuzzy context (L,K,E,E,R).