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http://dx.doi.org/10.14403/jcms.2013.26.3.557

SOME PROPERTIES OF F-FUNCTION OF SET  

Kim, Jupil (Department of Mathematics Hannam University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.26, no.3, 2013 , pp. 557-569 More about this Journal
Abstract
In this paper we shall introduce the $f$-function in a set, and give some properties of $f$-function of a set. In particular, we establish a relation between $f$-function of a set and fuzzy equivalence relation. We also introduce the notion of $f$-homomorphism on a semigroup S, and prove the generalized fundamental homomorphism theorem of semigroup.
Keywords
fuzzy set; fuzzy compatible; fuzzy congruence; fuzzy similarity relation; f-function;
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