| Properties of Fuzzy M-Semigroups with t-Norms |
| Received:May 18, 2004 |
| Key Words:
$M$-semigroups $t$-norm (imaginable) $T$-fuzzy $M$-subsemigroups $T$-product.
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| Fund Project:the Natural Foundation of Education Committee of Hubei Province (2004Z002, D200529001) |
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| Abstract: |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2006.01.013 |
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