| Homomorphisms between Two Sets of Fuzzy Subsemigroups |
| Received:March 13, 2001 |
| Key Words:
fuzzy subsemigroup fuzzy quotient semigroup fuzzy congruence homo-morphism.
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| Fund Project:Supported by NNSF of China (19971028) and Natural Science Foundations [(011438)(021073),(Z02017)] of Guangdong Province. |
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| Abstract: |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2003.04.008 |
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