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《山东大学学报(理学版)》 ›› 2020, Vol. 55 ›› Issue (1): 33-40.doi: 10.6040/j.issn.1671-9352.4.2019.121

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广义Pythagorean模糊软集的代数结构

张海东1,2*,加华多杰2,贺艳平3   

  1. 西北民族大学 1.中国民族语言文字信息技术教育部重点实验室;2.数学与计算机科学学院;3.电气工程学院, 甘肃 兰州 730030
  • 发布日期:2020-01-10
  • 作者简介:张海东(1980— ), 男, 博士, 副教授, 研究方向为不确定性理论及其应用. E-mail:lingdianstar@163.com*通信作者
  • 基金资助:
    国家自然科学基金资助项目(61966032);甘肃省高等学校科研项目(2016B-005);西北民族大学中央高校基本科研业务费专项资金项目(31920190055);西北民族大学甘肃省一流学科引导专项资金资助项目(11080305);西北民族大学中央高校基本科研业务费专项资金资助研究生项目(Yxm2019110)

Algebraic structures of generalized Pythagorean fuzzy soft set

ZHANG Hai-dong1,2*, Jia-hua Duojie2, HE Yan-ping3   

  1. Northwest Minzu University 1. Key Laboratory of Chinas Ethnic Languages and Information Technology of Ministry of Education;
    2. School of Mathematics and Computer Science;
    3. School of Electrical Engineering, Lanzhou 730030, Gansu, China
  • Published:2020-01-10

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摘要： 拓展Pythagorean模糊软集理论, 引进一种广义Pythagorean模糊软集的概念。为了给广义Pythagorean模糊软集建立理论基础, 给出该模型的一些运算算子, 并讨论其格结构。首先建立了3种广义Pythagorean模糊软集的格结构,然后证明了3种格结构是软代数结构,最后确立了3种有补分配格, 即布尔格。

关键词: 广义Pythagorean模糊软集, 算子, 软代数, 布尔格

Abstract: The Pythagorean fuzzy soft set theory is generalized and the concept of the generalized Pythagorean fuzzy soft set is introduced. In order to establish the theoretical basis for the generalized Pythagorean fuzzy soft set, we define some operation operators of the model, and discuss its lattice structures. First, three lattice structures of the generalized Pythagorean fuzzy soft set are constructed. Then it is also proved that the three lattice structures are soft algebraic structures. Finally, we explore three complemented distributive lattices which are also called Boolean lattices.

Key words: generalized Pythagorean fuzzy soft set, operator, soft algebra, Boolean lattice

中图分类号: 

  • O153.1
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