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학술저널

SOME PROPERTIES OF F{FUNCTION OF SET

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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.

1. Introduction

2. De¯nitions and preliminaries

3. f-function

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