Open Accessα-Irresoluteness and α-compactness based on continuous valued logic
Author(s) -
O. R. Sayed
Publication year - 2012
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2012.08.010
Subject(s) - mathematics , intersection (aeronautics) , compact space , topological space , fuzzy logic , pure mathematics , network topology , characterization (materials science) , property (philosophy) , topology (electrical circuits) , discrete mathematics , computer science , combinatorics , artificial intelligence , epistemology , geography , philosophy , materials science , cartography , nanotechnology , operating system
This paper considers fuzzifying topologies, a special case of I-fuzzy topologies (bifuzzy topologies), introduced by Ying [1]. It investigates topological notions defined by means of α-open sets when these are planted into the framework of Ying’s fuzzifying topological spaces (by Łukasiewicz logic in [0,1]) . The concept of α-irresolute functions and α-compactness in the framework of fuzzifying topology are introduced and some of their properties are obtained. We use the finite intersection property to give a characterization of fuzzifying α-compact spaces. Furthermore, we study the image of fuzzifying α-compact spaces under fuzzifying α-continuity and fuzzifying α-irresolute maps