TITLE:
Normality and Its Variants on Fuzzy Isotone Spaces
AUTHORS:
Stephen M. Gathigi, Moses N. Gichuki, Paul A. Otieno, Hezron S. Were
KEYWORDS:
Fuzzy Sets; Fuzzy Closure Space; Fuzzy Isotone Space; Fuzzy Normality
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.3 No.7,
October
25,
2013
ABSTRACT: The study of fuzzy sets is specifically designed to mathematically represent uncertainty and vagueness by assigning values of membership to objects that belong to a particular set. This notion has been broadly extended to other areas of topology where various topological concepts have been shown to hold on fuzzy topology. Some notions naturally extend to closure spaces without requiring a lot of modification of the underlying topological ideas. This work investigates the variants of normality on fuzzy isotone spaces.