ALMOST COMPACTNESS AND NEAR COMPACTNESS IN SMOOTH TOPOLOGICAL-SPACES

Authors
ELGAYYAR MK KERRE EE RAMADAN AA
Citation
Mk. Elgayyar et al., ALMOST COMPACTNESS AND NEAR COMPACTNESS IN SMOOTH TOPOLOGICAL-SPACES, Fuzzy sets and systems, 62(2), 1994, pp. 193-202
Citations number
8
Categorie Soggetti
Computer Sciences, Special Topics","System Science",Mathematics,"Statistic & Probability",Mathematics,"Computer Science Theory & Methods
Journal title
Fuzzy sets and systems → ACNP
ISSN journal
01650114
Volume
62
Issue
2
Year of publication
1994
Pages
193 - 202
Database
ISI
SICI code
0165-0114(1994)62:2<193:ACANCI>2.0.ZU;2-#
Abstract
In 1986, Badard introduced the concept of a smooth topological space a s a generalization of a classical as well as a Chang fuzzy topology. I n this paper we introduce the notions of smooth interior and smooth cl osure of a fuzzy set and we derive some of their structural properties . Secondly the concepts subspace, smooth compactness, smooth almost co mpactness, and smooth near compactness are introduced and studied in t he general framework of smooth topological spaces.