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。
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.
作者
张海东
加华多杰
贺艳平
ZHANG Hai-dong;Jia-hua Duojie;HE Yan-ping(Northwest Minzu University,Key Laboratory of China's Ethnic Languages and Information Technology of Ministry of Education,Lanzhou 730030,Gansu,China;School of Mathematics and Computer Science,Northwest Minzu University,Lanzhou 730030,Gansu,China;School of Electrical Engineering,Northwest Minzu University,Lanzhou 730030,Gansu,China)
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2020年第1期33-40,共8页
Journal of Shandong University(Natural Science)
基金
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).
作者简介
第一作者/通信作者: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
