THE PRODUCTIVITY CLASSES OF FUZZY TOPOLOGIES

Faculty Science Year: 1993
Type of Publication: Article Pages: 193-201
Authors:
GHANIM, MH, MASHHOUR, AS, ELWAKEIL, AN, MORSI, NN
DOI: 10.1016/0165-0114(93)90173-F
Journal: FUZZY SETS AND SYSTEMS ELSEVIER SCIENCE BV Volume: 53
Research Area: Computer Science; Mathematics ISSN ISI:A1993KK35700008
Keywords : CHANG FUZZY TOPOLOGICAL SPACES, FUZZY STRUCTURES A AND B, PRODUCTIVITY CLASSES, WEAK PRODUCTIVITY CLASSES    
Abstract:
In a previous article (Fuzzy Sets and Systems 30 (1989) 175-191), we introduced the productivity classes of fuzzy topological spaces (fts's), and other special classes of fts's. Those are intimately related to the productivity properties of fuzzy closure and fuzzy interior operators. We here provide a number of necessary and sufficient conditions on a fts to be a member of one of those classes. We use those characterizations to establish that each one of our classes of fts's is closed under products and quotients in the category of fuzzy topological spaces.
    
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