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Iranian Journal of Fuzzy Systems، جلد ۷، شماره ۲، صفحات ۱۲۱-۱۴۰
عنوان فارسی Regular ordered semigroups and intra-regular ordered semigroups in terms of fuzzy subsets
چکیده فارسی مقاله Let $S$ be an ordered semigroup. A fuzzy subset of $S$ is an
arbitrary mapping   from $S$ into $[0,1]$, where $[0,1]$ is the
usual interval of real numbers. In this paper,  the concept of fuzzy
generalized bi-ideals of an ordered semigroup $S$ is introduced.
Regular ordered semigroups are characterized by means of fuzzy left
ideals, fuzzy right ideals and fuzzy (generalized) bi-ideals.
Finally, two main theorems which characterize  regular ordered
semigroups and intra-regular ordered semigroups in terms of fuzzy
left ideals, fuzzy right ideals, fuzzy bi-ideals or fuzzy
quasi-ideals are given. The paper shows that one can pass from
results in terms of fuzzy subsets in semigroups to ordered
semigroups. The corresponding results of unordered semigroups are
also obtained.
کلیدواژه‌های فارسی مقاله Ordered semigroup، Regular ordered semigroup، Intra-regular ordered semigroup، Fuzzy left (right) ideal، Fuzzy (generalized) bi-ideal، Fuzzy quasi-ideal،
عنوان انگلیسی Regular ordered semigroups and intra-regular ordered semigroups in terms of fuzzy subsets
چکیده انگلیسی مقاله Let $S$ be an ordered semigroup. A fuzzy subset of $S$ is an
arbitrary mapping   from $S$ into $[0,1]$, where $[0,1]$ is the
usual interval of real numbers. In this paper,  the concept of fuzzy
generalized bi-ideals of an ordered semigroup $S$ is introduced.
Regular ordered semigroups are characterized by means of fuzzy left
ideals, fuzzy right ideals and fuzzy (generalized) bi-ideals.
Finally, two main theorems which characterize  regular ordered
semigroups and intra-regular ordered semigroups in terms of fuzzy
left ideals, fuzzy right ideals, fuzzy bi-ideals or fuzzy
quasi-ideals are given. The paper shows that one can pass from
results in terms of fuzzy subsets in semigroups to ordered
semigroups. The corresponding results of unordered semigroups are
also obtained.
کلیدواژه‌های انگلیسی مقاله Ordered semigroup, Regular ordered semigroup, Intra-regular ordered semigroup, Fuzzy left (right) ideal, Fuzzy (generalized) bi-ideal, Fuzzy quasi-ideal
نویسندگان مقاله Xiang-Yun Xie |
Department of Mathematics and Physics, Wuyi University , Jiangmen, Guangdong, 529020, P.R.China

Jian Tang |
Jian Tang\ School of Mathematics and Computational Science, Fuyang Normal College, Fuyang, Anhui, 236041, P.R.China

نشانی اینترنتی http://ijfs.usb.ac.ir/article_180_8923887933d3e5df3691f5dcf3db83d6.pdf
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