| $M$-半群的直觉$(S,T)$-模糊$M$-子半群的性质 |
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| 引用本文： | 马学玲,詹建明.$M$-半群的直觉$(S,T)$-模糊$M$-子半群的性质[J].数学研究与评论,2007,27(3):455-468. |
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| 作者姓名： | 马学玲 詹建明 |
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| 作者单位： | 湖北民族学院数学系,湖北,恩施,445000 |
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| 摘 要： | K.T.Atanassov在1986年首先引入直觉模糊集的概念,本文利用s-范数和t-范数,引入M-半群的直觉(S,T)-模糊M-子半群的概念,刻画其性质和特征,我们再进一步给出了直觉(S,T)-直积的概念,并由此探讨了一些有意义的相关结论。
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| 关 键 词： | M-半群 (虚)直觉(S T)-模糊M-子半群 直觉(S T)-直积. |
| 文章编号： | 1000-341X（2007）03-0455-14 |
| 收稿时间： | 2006/4/16 0:00:00 |
| 修稿时间： | 7/2/2006 12:00:00 AM |
Intuitionistic $(S,T)$-Fuzzy $M$-Subsemigroups of an $M$-Semigroup |
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| MA Xue-ling and ZHAN Jian-ming.Intuitionistic $(S,T)$-Fuzzy $M$-Subsemigroups of an $M$-Semigroup[J].Journal of Mathematical Research and Exposition,2007,27(3):455-468. |
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| Authors: | MA Xue-ling and ZHAN Jian-ming |
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| Institution: | Department of Mathematics, Hubei Institute for Nationalities, Hubei 445000, China;Department of Mathematics, Hubei Institute for Nationalities, Hubei 445000, China |
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| Abstract: | Intuitionistic fuzzy sets are generalized fuzzy sets which were first introduced by Atanassov in 1986.In this paper,we introduce the concept of intuitionistic fuzzy M- subsemigroups of an M-semigroup M with respect to an s-norm S and a t-norm T on in- tuitionistic fuzzy sets and study their properties.In particular,intuitionistic(S,T)-direct products of M-semigroups are considered and some recent results of fuzzy M-subsemigroups of M-semigroups obtained by Zhan and Tan~21]are extended and generalized to intuitionistic (S,T)-fuzzy M-subsemigroups over M-semigroups. |
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| Keywords: | M-semigroup (imaginable) intuitionistic fuzzy M-subsemigroup intuitionistic (S T)-direct product |
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