聊城大学学报(自然科学版)2026,Vol.39Issue(3):346-356,11.DOI:10.19728/j.issn1672-6634.2025090002
模糊Sheffer stroke算子和模糊Peirce arrow算子的统一框架
A unified framework of fuzzy Sheffer stroke operation and fuzzy Peirce arrow operation
摘要
Abstract
Fuzzy logic operations play a crucial role in fuzzy control.This paper aims to define the fuzzy Peirce arrow operation,and incorporate the fuzzy Sheffer stroke operation and the fuzzy Peirce arrow oper-ation into a unified framework,namely defining the HP operation.It will further analyze the structure of the HP operation,discuss its relationships with the fuzzy weak HP operation,the fuzzy Sheffer stroke op-eration and the fuzzy Peirce arrow operation,as well as construct and characterize the non-trivial HP oper-ation.Finally,two special operations are proposed on certain non-trivial HP operation sets,through which a semigroup and a commutative monoid can be obtained,respectively.关键词
模糊Sheffer stroke算子/模糊Peirce arrow算子/HP算子Key words
fuzzy Sheffer stroke operation/fuzzy Peirce arrow operation/HP operation分类
数理科学引用本文复制引用
张美萍,张凤霞..模糊Sheffer stroke算子和模糊Peirce arrow算子的统一框架[J].聊城大学学报(自然科学版),2026,39(3):346-356,11.基金项目
国家自然科学基金项目(12171220)资助 (12171220)