Displaying similar documents to “On four intuitionistic fuzzy topological operators.”

Fuzzy morphological operators in image processing.

Pedro J. Burillo López, Noé Frago Paños, Ramón Fuentes González (2003)

Mathware and Soft Computing

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First of all, in this paper we propose a family of fuzzy implication operators, which the generalised Lukasiewicz's one, and to analyse the impacts of Smets and Magrez properties on these operators. The result of this approach will be a characterisation of a proposed family of inclusion grade operators (in Bandler and Kohout's manner) that satisfies the axioms of Divyendu and Dogherty. Second, we propose a method to define fuzzy morphological operators (erosions and dilations). A family...

Hausdorffness in intuitionistic fuzzy topological spaces.

Francisco Gallego Lupiáñez (2003)

Mathware and Soft Computing

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The basic concepts of the theory of intuitionistic fuzzy topological spaces have been defined by D. Çoker and co-workers. In this paper, we define new notions of Hausdorffness in the intuitionistic fuzzy sense, and obtain some new properties, in particular on convergence.

On Michálek's fuzzy topological spaces

Francisco Gallego Lupiañez (2001)

Kybernetika

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The aim of this paper is to study some properties of Michálek’s fuzzy topology which are quite different of the classic properties of the Chang’s topology.

Parametric families of fuzzy consequence operators.

Javier Elorza, Pedro Burillo (2004)

Mathware and Soft Computing

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In a previous paper we explored the notion of coherent fuzzy consequence operator. Since we did not know of any example in the literature of non-coherent fuzzy consequence operator, we also showed several families of such operators. It is well-known that the operator induced by a fuzzy preorder through Zadeh's compositional rule is always a coherent fuzzy consequence operator. It is also known that the relation induced by a fuzzy consequence operator is a fuzzy preorder if such operator...