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On lower separation axioms
Faculty
Science
Year:
1997
Type of Publication:
Article
Pages:
385-389
Authors:
GHANIM, MH, Tantawy, OA, Selim, FM
DOI:
10.1016/0165-0114(95)00343-6
Journal:
FUZZY SETS AND SYSTEMS ELSEVIER SCIENCE BV
Volume:
85
Research Area:
Computer Science; Mathematics
ISSN
ISI:A1997WE82800008
Keywords :
fuzzy topology, separation axioms
Abstract:
In {[}3] Mashhour et al, introduced the concept of fuzzy disjointness. Two fuzzy sets A, B in X are said to be fuzzy disjoint if A less than or equal to co B, where co B is the complement of B. Using this concept, they introduced FTi separation axioms as a generalization for the basic separation axioms T-i (i = 1,...,4). In {[}5] Singal and Rajvanshi used the concepts of regular open fuzzy sets {[}1] and fuzzy disjointness to introduce some fuzzy almost separation axioms which are stronger than those of Mashhour. Unfortunately, some results in {[}5] are incorrect. In this paper, we use the concept of the quasi-coincident relation {[}4] to restate lower fuzzy separation axioms and give a corrected version for some definitions and results in {[}5].
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