Compact and bounded sets in intuitionistic fuzzy metric spaces

• Autorzy: Efe H. , Alaca C.
• Języki publikacji: EN

Abstrakty

EN

The purpose of this paper is to define q-bounded, semi-bounded, totally bounded, and unbounded sets in an intuitionistic fuzzy metric space X and study the relation between F-bounded sets and the above mentioned sets and prove that the statements (a) X is compact (b) X is sequentially compact and (c) X is complete and totally bounded are all equivalent in an intuitionistic fuzzy metric space X.

Słowa kluczowe

EN

intuitionistic fuzzy metric space; bounded sets; uniform space; totally boundedness

PL

rozmyta przestrzeń metryczna; przestrzeń jednostajna; zbiór ograniczony

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2007
• Tom: Vol. 40, nr 2
• Strony: 449--456
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Efe H.

autor

Alaca C.

• Department of Mathematics Faculty of Science and Arts Gazi University, Teknikokullar, 06500 Ankara, Turkey,

Bibliografia

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