L-fuzzy群范畴中的乘积运算

Product Operation in the Category of L-fuzzy Groups

文献[1]提出了Fuzzy群的概念,[2]讨论了Fuzzy群组成的范畴,本文在文献[1-6]的基础上,引入LF群范畴的概念,该范畴以Fuzzy群范畴作为子范畴,证明了LF群范畴对乘积运算封闭,同时给出了LF群范畴中的乘积的具体结构和一些性质。

A. Resenfeld [1] presented the concept of fuzzy group, ref. [2] discussed the category of fuzzy groups. Based on the result of [1-6], in this paper, We introduce the concept of category of LF groups, which takes the category of fuzzy groups as its subcategory. We proved that the category of LF groups is closed under the product operation. Moreover, the concrete structure and some characteristies of product was given.