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.  
Fund Project:the Natural Foundation of Education Committee of Hubei Province (2004Z002, D200529001)
Author NameAffiliation
ZHAN Jian-ming Dept. of Math.
Hubei Institute for Nationalities
Enshi
China 
TAN Zhi-song Dept. of Math.
Hubei Institute for Nationalities
Enshi
China 
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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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