On lower separation axioms

Faculty Science Year: 1997
Type of Publication: Article Pages: 385-389
Authors: 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].
   
  Online    
PDF  
       
Tweet