马学玲,詹建明.$M$-半群的直觉$(S,T)$-模糊$M$-子半群的性质[J].数学研究及应用,2007,27(3):455~468
$M$-半群的直觉$(S,T)$-模糊$M$-子半群的性质
Intuitionistic $(S,T)$-Fuzzy $M$-Subsemigroups of an $M$-Semigroup
投稿时间:2006-04-16  修订日期:2006-07-02
DOI:10.3770/j.issn:1000-341X.2007.03.002
中文关键词:  $M$-半群  (虚)直觉$(S,T)$-模糊$M$-子半群  直觉$(S,T)$-直积.
英文关键词:$M$-semigroup  (imaginable) intuitionistic fuzzy $M$-subsemigroup  intuitionistic $(S,T)$-direct product.
基金项目:国家自然科学基金(60474022); 湖北省教育厅重点科研基金(2004Z002; D200529001)
作者单位
马学玲 湖北民族学院数学系, 湖北 恩施 445000 
詹建明 湖北民族学院数学系, 湖北 恩施 445000 
摘要点击次数: 3206
全文下载次数: 2126
中文摘要:
      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.
英文摘要:
      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 intuitionistic 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.
查看全文  查看/发表评论  下载PDF阅读器