Intuitionistic (S,T)-Fuzzy M-Subsemigroups of an M-Semigroup  

M-半群的直觉(S，T)-模糊M-子半群的性质(英文)

作　　者：马学玲[1] 詹建明[1] 

机构地区：[1]湖北民族学院数学系,湖北恩施445000

出　　处：《Journal of Mathematical Research and Exposition》2007年第3期455-468,共14页数学研究与评论（英文版）

基　　金：the National Natural Science Foundation of China(60474022);the Key Science Foundation of Education Committee of Hubei Province(2004Z002;D200529001).

摘　　要：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.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。

关 键 词：M-semigroup （imaginable） intuitionistic fuzzy M-subsemigroup intuitionistic（S  T）-direct product. 

分 类 号：O152.7[理学—数学]