A unified framework of fuzzy Sheffer stroke operation and fuzzy Peirce arrow operation
ZHANG Meiping
ZHANG Fengxia
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.
Keywords：fuzzy Sheffer stroke operationfuzzy Peirce arrow operationHP operation
Publication Date：2026-06-25
Online Publishing Date：2026-08-28(First online date of this platform, not the publication date of the document)
Pages：11( 346-356 )