多值直觉中智集及其性质  

Multi-valued Intuitionistic Neutrosophic Sets and Its Properties

作　　者：杨媛媛 陈树伟 李舒敬[1] YANG Yuan-yuan;CHEN Shu-wei;LI Shu-jing(School of Mathematics,Southwest Jiaotong University,Chengdu 610031,China;National-Local Joint Engineering Laboratory of System Credibility Automatic Verification,Southwest Jiaotong University,Chengdu 610031,China)

机构地区：[1]西南交通大学数学学院,四川成都610031 [2]西南交通大学系统可信性自动验证国家地方联合工程实验室,四川成都610031

出　　处：《模糊系统与数学》2022年第1期11-17,共7页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(61976130);四川省科技计划项目(2020YJ0270);中央高校基本科研业务费专项资金资助项目(2682018CX59)。

摘　　要：为丰富中智集理论并扩大其应用范围,本文在已有中智集研究的基础上,提出一种新型中智集——多值直觉中智集,讨论了多值直觉中智集与其他中智集及相关模糊集的关系。然后给出了多值直觉中智元的基本运算和相关运算性质,并证明了基于运算所得到的交换律,结合律等定理。In order to enrich the neutrosophic sets theory and expand its application, this paper proposes a new kind of neutrosophic sets, multi-valued intuitionistic neutrosophic sets, on the basis of existing research. The relationships between multi-valued neutrosophic sets and other neutrosophic sets as well as related fuzzy sets are discussed. Then the basic operations and the properties of correlation operations are provided, along with the theorems on commutative law and associative law about these operations.

关 键 词：中智集 直觉模糊集 多值直觉中智集 运算性质 

分 类 号：O159[理学—数学]