模糊Sheffer stroke算子和模糊Peirce arrow算子的统一框架OACHSSCD
A unified framework of fuzzy Sheffer stroke operation and fuzzy Peirce arrow operation
模糊逻辑算子在模糊控制中起着非常关键的作用.本文旨在提出模糊Peirce arrow算子的定义,并将模糊Sheffer stroke算子和模糊Peirce arrow算子纳入到一个统一的框架中,即定义 HP算子,进一步分析HP算子的结构,讨论其与模糊弱HP算子、模糊Sheffer stroke算子以及模糊Peirce arrow算子之间的关系,构造和刻画非平凡HP算子.最后,在某些非平凡HP算子集上提出两种特殊的运算,通过这两种运算可分别构成半群和可交换幺半群.
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.
张美萍;张凤霞
聊城大学 数学科学学院,山东 聊城 252059聊城大学 数学科学学院,山东 聊城 252059
数理科学
模糊Sheffer stroke算子模糊Peirce arrow算子HP算子
fuzzy Sheffer stroke operationfuzzy Peirce arrow operationHP operation
《聊城大学学报（自然科学版）》 2026 (3)
346-356,11
国家自然科学基金项目(12171220)资助
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