正则HX群的同态与同构

The Homomorphisms and Isomorphisms of Regular HX Groups

模糊数学的发展突出了集值映射的重要性,各种数学结构需要由论域向其幂集上提升,如序结构的提升,可测结构的提升,拓扑结构的提升等等。文[1]考虑了代数结构的提升问题,首次提出了HX群的概念,随后,文[2]又给出了HX环的定义,本文将在“正则”的条件下,研究HX群中的同态与同构形式。

With developing fuzzy mathematics, the importance of set value mapping has been highlighted, so that the upgrade of all kinds of the structures, such as ordered, topological, measurable structure, etc, have been considered. It is also rather interesting how to consider the upgrade of algebraic structure. The concept of HX group was raised firstly in the paper [1], and HX ring was done in [2]. In the paper, we will consider the homomorphisms and isomorphisms of regular HX groups.