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- Title
Lattice expansion of fuzzy concepts.
- Authors
Maximov, D.
- Abstract
The concept of a fuzzy number is expanded to the case of a finite carrier set of partially ordered elements; the set is a lattice, and the membership function of such an expansion also takes values in a lattice. Zadeh’s extension principle for determining the degree of membership of a function of fuzzy numbers is changed for this expansion. An analogue of the concept of a mean value is also suggested. The use of partially ordered values in cognitive maps with multiple expert assessments is considered.
- Subjects
PARTIALLY ordered sets; FUZZY numbers; COGNITIVE maps (Psychology); MEMBERSHIP functions (Fuzzy logic); NUMBER concept
- Publication
Iranian Journal of Fuzzy Systems, 2023, Vol 20, Issue 4, p153
- ISSN
1735-0654
- Publication type
Article