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《山东大学学报(理学版)》 ›› 2019, Vol. 54 ›› Issue (8): 20-32.doi: 10.6040/j.issn.1671-9352.0.2018.429

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模糊蕴涵关于合取2-一致模满足输入律的刻画

程亚菲,赵彬*   

  1. 陕西师范大学数学与信息科学学院, 陕西 西安 710119
  • 出版日期:2019-08-20 发布日期:2019-07-03
  • 作者简介:程亚菲(1992— ), 女, 硕士研究生, 研究方向为格上拓扑与非经典数理逻辑. E-mail:chengyafei@snnu.edu.cn*通信作者简介:赵彬(1965— ), 男, 博士, 教授, 博士生导师, 研究方向为格上拓扑与非经典数理逻辑. E-mail:zhaobin@snnu.edu.cn
  • 基金资助:
    国家自然科学基金资助项目(11531009)

Characterization of fuzzy implications satisfying the law of importation with respect to conjunctive 2-uninorms

CHENG Ya-fei, ZHAO Bin*   

  1. School of Mathematics and Information Science, Shaanxi Normal University, Xian 710119, Shaanxi, China
  • Online:2019-08-20 Published:2019-07-03

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摘要： 首先引入了模糊否定关于 2-一致模满足(COMPU2)的概念,并讨论了连续的模糊否定分别关于4类合取2-一致模满足(COMPU2)的情形;其次,引入了模糊蕴涵关于合取 2-一致模满足输入律的概念,并给出了其相关性质;最后,利用(COMPU2)给出了模糊蕴涵分别关于4类合取 2-一致模满足输入律的刻画。

关键词: 模糊蕴涵, 2-一致模, 输入律, 模糊否定

Abstract: The notion of fuzzy negations satisfying(COMPU2)with respect to 2-uninorms is introduced, and the situations that continuous fuzzy negations satisfying(COMPU2)with respect to four types of conjunctive 2-uninorms are discussed respectively. The definition and related properties of fuzzy implications satisfying the law of importation with conjunctive 2-uninorms are given. Finally, using(COMPU2), a characterization that fuzzy implications satisfy respectively the law of importation with respect to four types of conjunctive 2-uninorms is provided.

Key words: fuzzy implication, 2-uninorm, the law of importation, fuzzy negation

中图分类号: 

  • O159
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