$(\lambda, \mu)$ Fuzzy Ideals in Ordered Ternary Semigroups
Authors :
T. Anitha
Author Address :
Mathematics wing, D.D.E, Annamalai University, Annamalainagar 608 002, India.
Abstract :
In this paper we introduce the notion of $(\lambda,\mu)$-fuzzy ternary subsemigroup (respectively left ideal, right ideal, lateral ideal, bi-ideal, interior ideal, quasi-ideal) in an ordered ternary semigroups is introduce. We have shown that $f$ is a $(\lambda,\mu)$-fuzzy ternary subsemigroup (respectively left ideal, right ideal, lateral ideal, bi-ideal, interior ideal, quasi-ideal) of an ordered ternary semigroup $T$ if and only if the upper level cut $U(f;t)$ is a ternary subsemigroup (respectively left ideal, right ideal, lateral ideal, bi-ideal, interior ideal, quasi-ideal) of $T$.
Keywords :
$(\lambda,\mu)$-fuzzy ternary subsemigroups, $(\lambda,\mu)$-fuzzy ideals, $(\lambda,\mu)$-fuzzy bi-ideal, $(\lambda,\mu)$-fuzzy generalised bi-ideal, $(\lambda,\mu)$-f
DOI :
Article Info :
Received : July 10, 2015; Accepted : September 23, 2015.
