| 李勇华,徐成贤.两个模糊子半群集合之间的同态(英文)[J].数学研究及应用,2003,23(4):615~622 |
| 两个模糊子半群集合之间的同态(英文) |
| Homomorphisms between Two Sets of Fuzzy Subsemigroups |
| 投稿时间：2001-03-13 |
| DOI：10.3770/j.issn:1000-341X.2003.04.008 |
| 中文关键词: 模糊子半群 模糊商半群 模糊同余 同态 |
| 英文关键词:fuzzy subsemigroup fuzzy quotient semigroup fuzzy congruence homo-morphism. |
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| 摘要点击次数: 3764 |
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| 中文摘要: |
| 设S,T是半群,F(S)和Fs(S)分别表示S的所有模糊子集的集合和所有模糊子半群的集合。文中,讨论了F(S)(Fs(S))和F(T)(Fs(T))之间的模糊同态,建立了模糊商子半群的概念,把分明半群的基本同态定理推广到模糊子半群。 |
| 英文摘要: |
| Let S and T be semigroups. F(S) and Fs(S) denote the sets of all fuzzy subsets and all fuzzy subsemigroups of 5, respectively. In this paper, we discuss the homomorphisms between F(S)(Fs(S)) and F(T)(Fs(T)). We introduce the concept of fuzzy quotient subsemigroup and generalize the fundamental theorems of homomorphism of semigroups to fuzzy subsemigroups. |
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