Author/Authors :
Yunqiang Yin، Yunqiang Yin نويسنده Yunqiang Yin, Yunqiang Yin , Young Bae Jun، Young Bae Jun نويسنده Young Bae Jun, Young Bae Jun , Zhihui Yang، Zhihui Yang نويسنده Zhihui Yang, Zhihui Yang
Abstract :
This paper consider the general forms of $(\alpha,\beta)$-fuzzy
left ideals (right ideals, bi-ideals, interior ideals) of an ordered
semigroup, where
$\alpha,\beta\in\{\in_{\gamma},q_{\delta},\in_{\gamma}\wedge
q_{\delta}, \in_{\gamma}\vee q_{\delta}\}$ and $\alpha\neq
\in_{\gamma}\wedge q_{\delta}$. Special attention is paid to
$(\in_{\gamma},\ivq)$-left ideals (right ideals, bi-ideals, interior
ideals) and some related properties are investigated. The
characterization of regular ordered semigroups in terms of
$(\in_{\gamma},\ivq)$-fuzzy left (right) ideals,
$(\in_{\gamma},\ivq)$-fuzzy bi-ideals and
$(\in_{\gamma},\ivq)$-fuzzy interior ideals is also investigated.
