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Displaying similar documents to “Modeling and manipulating fuzzy regions: strategies to define the topological relation between two fuzzy regions”

A new approach for fuzzy gyronorms on gyrogroups and its fuzzy topologies

Yu Shen, Conghua Yan (2024)

Kybernetika

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In this paper, a new approach for fuzzy gyronorms on gyrogroups is presented. The relations between fuzzy metrics(in the sense of Morsi), fuzzy gyronorms, gyronorms on gyrogroups are studied. Also, some sufficient conditions, which can make a fuzzy normed gyrogroup to be a topological gyrogroup and a fuzzy topological gyrogroup, are found. Meanwhile, the relations between topological gyrogroups, fuzzy topological gyrogroups and stratified fuzzy topological gyrogroups are studied. Finally,...

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.

Proto-metrizable fuzzy topological spaces

Francisco Gallego Lupiañez (1999)

Kybernetika

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In this paper we define for fuzzy topological spaces a notion corresponding to proto-metrizable topological spaces. We obtain some properties of these fuzzy topological spaces, particularly we give relations with non-archimedean, and metrizable fuzzy topological spaces.

On four intuitionistic fuzzy topological operators.

Krassimir T. Atanassov (2001)

Mathware and Soft Computing

Similarity:

Four new operators, which are analogous of the topological operators interior and closure, are defined. Some of their basic properties are studied. Their geometrical interpretations are given.