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两个模糊子半群集合之间的同态
引用本文:李勇华,徐成贤.两个模糊子半群集合之间的同态[J].数学研究与评论,2003,23(4):615-622.
作者姓名:李勇华  徐成贤
作者单位:1. 华南师范大学数学系,广东,广州,510631
2. 西安交通大学理学院,陕西,西安,710049
基金项目:Supported by NNSF of China(19971028)and Natural Science Foundations [(011438)(021073),(Z02017)] of Guangdong Province.
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。

关 键 词:模糊子半群    模糊商半群    模糊同余    同态
收稿时间:2001/3/13 0:00:00

Homomorphisms between Two Sets of Fuzzy Subsemigroups
LI Yong-hua and XU Cheng-xian.Homomorphisms between Two Sets of Fuzzy Subsemigroups[J].Journal of Mathematical Research and Exposition,2003,23(4):615-622.
Authors:LI Yong-hua and XU Cheng-xian
Institution:Dept. of Math.; South China Normal University; Guangzhou; China;School of Science; Xi'an Jiaotong University; Shaanxi; China
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.
Keywords:fuzzy subsemigroup  fuzzy quotient semigroup  fuzzy congruence  homo-morphism  
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