Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: Algebraic operators: An alternative approach to fuzzy sets
Contributor:
Pedrycz, Witold - ed. ; Korbicz, Józef (1951- ) - ed.
Subtitle:
Group publication title:
Abstract:
The paper deals with processing of uncertain information in terms of its repetitiveness and negativity. Neither of these features is handled in the lattice structure of fuzzy sets. In the case of repetitive information, the max-min operators are noninteractive (see (Pedrycz, 1993)). ; Triangular norms presented there can cope with repetitive information. Nevertheless, negativity still creates problems. In this paper, a new approach to processing of uncertain information is proposed. This approach is based on some extension of fuzzy sets theory: the linear space and ring structure of fuzzy sets. ; This extension is created by new operators, algebraic rather than logic. In this paper, the operators are called a-p-v operators. Basic properties of the introduced spaces are discussed. Both repetitive and negative kinds of information are handled in algebraic structures of fuzzy sets. Operators introduced in this paper are applied in two examples: fuzzy reasoning and fuzzy neural networks.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
Pages:
Source:
AMCS, volume 6, number 3 (1996) ; click here to follow the link
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (1996)
Last modified:
14 lip 2025
In our library since:
17 lis 2020
Number of object content hits:
180
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/64462
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| Edition name | Date |
|---|---|
| Algebraic operators: An alternative approach to fuzzy sets | 14 lip 2025 |
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