(epsilon, epsilon Vq (lamda, mu))-Fuzzy Regular * -Semigroups

Zuhua Liao, Shu Cao, Miaohan Hu, Yang Zhang, Cuiyun Hao
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Abstract

In this paper, we introduce the definitions of (epsilon, epsilon Vq (lamda, mu))-fuzzy regular * - semi groups and generalized fuzzy regular *-semi groups. Based on these, the properties of level sets and characteristic function of them are discussed. Besides, we also give their equivalent forms and properties of homomorphic image and homomorphic pre image in a homomorphim of semigroups.
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本文引入了(epsilon, epsilon Vq (, mu))-模糊正则*-半群和广义模糊正则*-半群的定义。在此基础上,讨论了水平集的性质及其特征函数。此外,还给出了它们在半群的同态映象和同态前映象的等价形式和性质。
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