詹建明,谭志松.具有t-范数的模糊M-半群的性质[J].数学研究及应用,2006,26(1):67~76 |
具有t-范数的模糊M-半群的性质 |
Properties of Fuzzy M-Semigroups with t-Norms |
投稿时间:2004-05-18 |
DOI:10.3770/j.issn:1000-341X.2006.01.013 |
中文关键词: $M$-半群 $t$-范数 (虚)$T$-模糊$M$-子半群 $T$-积. |
英文关键词:$M$-semigroups $t$-norm (imaginable) $T$-fuzzy $M$-subsemigroups $T$-product. |
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中文摘要: |
本文利用范数, 引入$M$-半群的$T$-模糊$M$-子半群的概念,刻划其性质和特征. 进一步, 我们给出$T$-模糊$M$-子半群 $R$ 与$T$-模糊$M$-子半群$S$的直积是$T$-模糊$M$-子半群这一结论. 同时, 我们证明了$T$-模糊$M$-子半群可分解成$T$-模糊$M$-子半群的直积. |
英文摘要: |
In this papr, we introduce the notion of $T$-fuzzy $M$-subsemigroups of $M$-semigroups by using a $t$-norm $T$ and obtain some interesting properties. Further we show that the direct product of a $T$-fuzzy $M$-subsemigroup of $R$ and a fuzzy $M$-subsemigroup of $S$ is a $T$-fuzzy $M$-subsemigroup of $M$. Moreover, we prove that $T$-fuzzy $M$-subsemigroup of $M $ is exhibited as the direct product of $T$-fuzzy $M$-subsemigroups of $R$ and $S$ respectively. |
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