一致模的延拓

高校应用数学学报

2015, Vol. 30

Issue (2): 223-233

一致模的延拓

姬欢¹, 裴道武¹, 傅丽²

1. 浙江理工大学理学院, 浙江杭州 310018
2. 青海民族大学数学与统计学院, 青海西宁 810000

The extension of uninorms

JI Huan¹, PEI Dao-wu¹, FU Li²

1. School of Sciences, Zhejiang Sci-Tech University, Hangzhou 310018, China
2. School of Mathematics and Statistics, Qinghai Nationalities university, Xining 810000, China

全文: PDF

摘要： 讨论一致模在有界格上的延拓, 在有界格上引入收缩核, $(r,s)$-子格, 收缩, $e$-算子等概念, 并且利用收缩与$e$-算子方法对一致模进行延拓, 使延拓后的一致模最大可能地保留原一致模的性质. 同时还进一步讨论了一致模的共轭和它的延拓之间的关系.

关键词： 模糊逻辑; 一致模; 延拓; 收缩; $e$-算子

Abstract: In this paper, the extensions of uninorms are studied. In bounded lattices, the concepts of retract, $(r, s)$-sublattice, retraction, and $e$-operator are introduced, the extensions of uninorms via retractions and $e$-operator on bounded lattices are presented, respectively. Also, the most properties of original uninorms are preserved by the extensions. Furthermore, the relationships between conjugate of uninorms and the extensions of uninorms are discussed.

Key words: fuzzy logic uninorms extension retraction $e$-operator

收稿日期: 2014-10-14 出版日期: 2018-06-05

CLC:

O141.1

基金资助: 国家自然科学基金(11171308; 61379018; 61472471; 51305400); 青海省自然科学基金(2013-Z-913)

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引用本文:

姬欢, 裴道武, 傅丽. 一致模的延拓[J]. 高校应用数学学报, 2015, 30(2): 223-233.

JI Huan, PEI Dao-wu, FU Li. The extension of uninorms. Applied Mathematics A Journal of Chinese Universities, 2015, 30(2): 223-233.

链接本文:

http://www.zjujournals.com/amjcua/CN/ 或 http://www.zjujournals.com/amjcua/CN/Y2015/V30/I2/223

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