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模糊Sheffer stroke算子和模糊Peirce arrow算子的统一框架

张美萍 张凤霞

聊城大学学报(自然科学版)2026,Vol.39Issue(3):346-356,11.
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

张美萍 1张凤霞1

作者信息

  • 1. 聊城大学 数学科学学院,山东 聊城 252059
  • 折叠

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)

聊城大学学报(自然科学版)

OACHSSCD

1672-6634

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