Characterizing Fuzzy Sets in Ordered $\Gamma$-Semigroups

Aiyared Iampan

Abstract


The motivation mainly comes from the fuzzification of sets that are of importance and
interest in ordered semigroups, ordered ternary semigroups and \ogs s.
We can see that \gs s are a generalization of semigroups and ternary semigroups.
In this paper, we characterize the relationship between the \foi s (\fof s) and the \chm s of \foi s (\fof s) in \ogs s
analogous to the characterizations of fuzzy ideals and fuzzy filter in ordered ternary semigroups considered by Chinram and Saelee (Chinram, R. \& Saelee, S., 2010).

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Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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