Now showing items 1-9 of 9

• #### A characterization for residuated implications on J [0, 1]. Application to the L-fuzzy concept theory. ﻿

(Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 2005)
Article
Open Access
In this paper, a new characterization for the interval-valued residuated fuzzy implication operators is presented, with which it is possible to use them in a simple and efficient way, since the calculation of the values ...
• #### Concept lattices associated with L-Fuzzy W-contexts ﻿

(Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 1996)
Article
Open Access
\begin{abstract} \noindent We generalize in this paper the $L$-Fuzzy concept theory we developed in a previous paper ([1]), using the composition of $L$-Fuzzy relations. This theory models knowledge acquisition ...
• #### Fuzzy morphological operators in image processing ﻿

(Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 2003)
Article
Open Access
First of all, in this paper we propose a family of fuzzy implication operators, which the generalised Luckasiewicz's one, and to analyse the impacts of Smets and Magrez properties on these operators. The result of this ...
• #### Generation of fuzzy mathematical morphologies ﻿

(Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 2001)
Article
Open Access
Fuzzy Mathematical Morphology aims to extend the binary morphological operators to grey-level images. In order to define the basic morphological operations fuzzy erosion, dilation, opening and closing, we introduce a ...
• #### On Completeness and Direction in Fuzzy Relational Systems ﻿

(Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 1998)
Article
Open Access
The concepts of bounded subset, complete subset and directed subset, wich are well known in the context of partialy ordered sets $(X,\leq )$, are extended in order to become appliable, with coherence, in fuzzy relational ...
• #### On contrast intensification operators and fuzzy equality relations ﻿

(Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 2000)
Article
Open Access
The class of contrast intensification operators is formally defined and it's lattice structure studied. The effect of these operators in the referential classifications derived from special kinds of fuzzy relations is ...
• #### Overtaker binary relations on complete completely distributive lattices related to the level sets of the L-fuzzy Sets ﻿

(Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 1994)
Article
Open Access
The class of overtaker binary relations associated with the order in a lattice is defined and used to generalize the representations of L-fuzzy sets by means of level sets or fuzzy points.
• #### The embedding if the formal concept analysis inte the L-fuzzy concept theory ﻿

(Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 1998)
Article
Open Access
In this work, we study the relation between the concept lattice of Wille ([5], [6]) and the $L-Fuzzy$ concept lattice ([2]) developed by us. To do it, we have defined an application $g$ that associates to each concept ...
• #### The study of the L-fuzzy concept lattice ﻿

(Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica, 1994)
Article
Open Access
The L-Fuzzy concept theory that we have developed sets up classifications from the objects and attributes of a context through L-Fuzzy relations. This theory generalizes the formal concept theory of R. Wille. In this paper ...