On Quasi-discrete Fuzzy Closure Spaces

• Autorzy: Liu G.

Identyfikatory

DOI

10.3233/FI-2015-1286

• Języki publikacji: EN

Abstrakty

EN

This paper studies quasi-discrete closure spaces and fuzzy closure spaces. We show that any topological closure c_T induced by a closure c is the smallest extension from a closure space to a topological closure space in both crisp and fuzzy environment, in addition, a characterization of the continuous mappings in quasi-discrete closure spaces is obtained. We propose the concept of quasi-discrete fuzzy closure spaces in the context of fuzzy sets and establish a one to one correspondence between quasi-discrete fuzzy closure spaces and reflexive fuzzy relations. We also discuss the relationship between topological closure c_T and closure c in quasi-discrete fuzzy closure spaces and show that the process from closure c to topological closure c_T can be realized via the process from a reflexive fuzzy relation to its transitive closure.

Słowa kluczowe

EN

fuzzy relation; topology; fuzzy topological closure; quasi-discreteness; fuzzy set

• Wydawca: IOS Press
• Czasopismo: Fundamenta Informaticae
• Rocznik: 2015
• Tom: Vol. 142, nr 1-4
• Strony: 105--115
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Liu G.

• School of Information Science Beijing Language and Culture University Beijing 100083, China

Bibliografia

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