With a left-continuous t-norm , we may associate the set of its vertical cuts, namely, the set F of functions fa : [0, 1] → [0, 1], x → x a. Endowed with the pointwise order, ...
In Multiple Criteria Decision Analysis, the preferences of the decision maker regarding each criterion are classically modelled by a utility function depending on one single varia...
In this paper, we tackle the extension of aggregations of distances in Rk to the fuzzy numbers and fuzzy points and we investigate the fullfilment of the conditions of a fuzzy me...
Parametric representation of fuzzy numbers (PFN) with derived methods for performing fuzzy arithmetic proves to have better accuracy and similar computational speed to using trian...
In this work we present several possible extensions of fuzzy Datalog. At first the concept of fuzzy Datalog will be summarized, then its extension for intuitionistic- and interval...
In this work, our primary focus is to determine the intersections that exist between the family of QL-implications and the families of (S, N)- and R-implications. Toward this end,...
In this paper we extend a previous definition of gradual dependence as a special kind of (crisp) association rule, in order to measure not only the existence of a tendency, but i...
Fuzzy topology based on interior operators is studied in the fully graded framework of Fuzzy Class Theory. Its relation to graded notions of fuzzy topology given by open sets and ...
We investigate in this paper the set of kadditive capacities dominating a given capacity, which we call the k-additive core. We study its structure through achievable families, wh...
The paper deals with the modelling of dynamical processes based on Soft Computing methods. The structure of a Dynamic Fuzzy Model is illustrated on a linear dynamic system of firs...