语义球型模糊集的定义及相关性质

The Definition of Linguistic Spherical Fuzzy Set and Its Related Properties

摘要: 模糊集理论是一门为了描述现实世界中大量存在的模糊现象的数学理论。球型模糊集因在传统模糊集的基础上综合考虑了元素属于概念集合的隶属度、中立度和非隶属度而备受关注。本文更进一步考虑更加具有现实意义的语义环境，提出语义球型模糊集并讨论了其相关重要性质。

Abstract: Fuzzy set theory is a mathematical theory to describe the large number of fuzzy phenomena which appears in the real world. Spherical fuzzy sets have attracted much attention because they comprehensively considering the membership degree, neutral degree and non-membership degree of elements on the basis of traditional fuzzy sets. This paper further considers a more realistic semantic environment and proposes the linguistic spherical fuzzy sets. Also, some related important properties of the linguistic spherical fuzzy sets are discussed.