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- Title
Symmetric Difference Operators Derived from Overlap and Grouping Functions.
- Authors
Hu, Bo; He, Di; Dai, Songsong
- Abstract
This paper introduces the concept of symmetric difference operators in terms of overlap and grouping functions, for which the associativity property is not strongly required. These symmetric difference operators are weaker than symmetric difference operators in terms of positive and continuous t-norms and t-conorms. Therefore, in the sense of the characters of mathematics, these operators do not necessarily satisfy certain properties, such as associativity and the neutrality principle. We analyze several related important properties based on two models of symmetric differences.
- Subjects
SYMMETRIC operators; POSITIVE operators; DIFFERENCE operators; TRIANGULAR norms; MATHEMATICS
- Publication
Symmetry (20738994), 2023, Vol 15, Issue 8, p1569
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym15081569