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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 anarbitrary mapping   from $S$ into $[0,1]$, where $[0,1]$ is theusual interval of real numbers. In this paper,  the concept of fuzzygeneralized bi-ideals of an ordered semigroup $S$ is introduced.Regular ordered semigroups are characterized by means of fuzzy leftideals, fuzzy right ideals and fuzzy (generalized) bi-ideals.Finally, two main theorems which characterize  regular orderedsemigroups and intra-regular ordered semigroups in terms of fuzzyleft ideals, fuzzy right ideals, fuzzy bi-ideals or fuzzyquasi-ideals are given. The paper shows that one can pass fromresults in terms of fuzzy subsets in semigroups to orderedsemigroups. The corresponding results of unordered semigroups arealso obtained.
کلیدواژه‌های فارسی مقاله
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 anarbitrary mapping   from $S$ into $[0,1]$, where $[0,1]$ is theusual interval of real numbers. In this paper,  the concept of fuzzygeneralized bi-ideals of an ordered semigroup $S$ is introduced.Regular ordered semigroups are characterized by means of fuzzy leftideals, fuzzy right ideals and fuzzy (generalized) bi-ideals.Finally, two main theorems which characterize  regular orderedsemigroups and intra-regular ordered semigroups in terms of fuzzyleft ideals, fuzzy right ideals, fuzzy bi-ideals or fuzzyquasi-ideals are given. The paper shows that one can pass fromresults in terms of fuzzy subsets in semigroups to orderedsemigroups. The corresponding results of unordered semigroups arealso obtained.
کلیدواژه‌های انگلیسی مقاله
نویسندگان مقاله xiang yun xie | xiang yun
department of mathematics and physics, wuyi university , jiangmen, guangdong, 529020, p.r.china

ژیان تنگ |
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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