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n-一致模的构造(Ⅰ)
The Construction Methods (Ⅰ) of n-Uninorms
【摘要】 借助Clifford半群序和理论,该文提出了2种n-一致模的构造方法.基于这些构造方法,可以构造许多新的n-一致模.利用这些构造方法,证明了对具有连续基础算子n-一致模的分解定理的逆命题都成立.
【Abstract】 By means of Clifford′s semigroup ordinal sum theory, two kinds of methods to constructing a new n-uninorm are given.Based on these methods, there are a number of new n-uninorms.Moreover, applying these results, it is proved that the converse propositions of all decomposed theorems for all n-uninorms with continuous underlying functions hold.
【基金】 国家自然科学基金(11971210,61967008);江西省主要学科学术和技术带头人培养计划(20171ACB20010);江西省自然科学基金(20192BAB201009)资助项目
- 【文献出处】 江西师范大学学报(自然科学版) ,Journal of Jiangxi Normal University(Natural Science Edition) , 编辑部邮箱 ,2022年01期
- 【分类号】O153.3
- 【下载频次】53