Some new properties of fuzzy normed linear spaces

Other Title(s)

بعض خواص جديدة في الفضاءات الخطية الناظمية الضبابية

Joint Authors

Ibn Hadj, Ali Yaslam
Mukherij, Umar Faraj

Source

Hadhramout University Journal of Natural and Applied Sciences

Issue

Vol. 12, Issue 1 (30 Jun. 2015), pp.65-77, 13 p.

Publisher

Hadhramout University Deanship of Postgraduate Studies and Scientific Research

Publication Date

2015-06-30

Country of Publication

Yemen

No. of Pages

13

Main Subjects

Mathematics

Abstract EN

In this paper, the concept of topological fuzzy isomorphism is introduced.

Firstly, the definitions of fuzzy bounded sets, fuzzy closed sets, fuzzy dense sets and fuzzy compact sets are given.

Moreover some properties that are preserved by topologically fuzzy isomorphism are investigated.

Finally, in finite dimensional fuzzy normed linear spaces over R , we proved that fuzzy compactness is equivalent to fuzzy closeness together with fuzzy boundedness.

American Psychological Association (APA)

Ibn Hadj, Ali Yaslam& Mukherij, Umar Faraj. 2015. Some new properties of fuzzy normed linear spaces. Hadhramout University Journal of Natural and Applied Sciences،Vol. 12, no. 1, pp.65-77.
https://search.emarefa.net/detail/BIM-1023974

Modern Language Association (MLA)

Ibn Hadj, Ali Yaslam& Mukherij, Umar Faraj. Some new properties of fuzzy normed linear spaces. Hadhramout University Journal of Natural and Applied Sciences Vol. 12, no. 1 (Jun. 2015), pp.65-77.
https://search.emarefa.net/detail/BIM-1023974

American Medical Association (AMA)

Ibn Hadj, Ali Yaslam& Mukherij, Umar Faraj. Some new properties of fuzzy normed linear spaces. Hadhramout University Journal of Natural and Applied Sciences. 2015. Vol. 12, no. 1, pp.65-77.
https://search.emarefa.net/detail/BIM-1023974

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 76

Record ID

BIM-1023974