Digital Library of Zielona Góra contains 64 636 digital objects
Object
Title: Algebraic operators: An alternative approach to fuzzy sets
Współtwórca:
Pedrycz, Witold - ed. ; Korbicz, Józef (1951- ) - ed.
Podtytuł:
Tytuł publikacji grupowej:
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.
Wydawca:
Zielona Góra: Uniwersytet Zielonogórski
Identyfikator zasobu:
Strony:
Źródło:
AMCS, volume 6, number 3 (1996) ; click here to follow the link
Jezyk:
Licencja CC BY 4.0:
Prawa do dysponowania publikacją:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- Digital Library of Zielona Góra > 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:
Jul 14, 2025
In our library since:
Nov 17, 2020
Number of object content hits:
198
All available object's versions:
https://zbc.uz.zgora.pl/publication/64462
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| Edition name | Date |
|---|---|
| Algebraic operators: An alternative approach to fuzzy sets | Jul 14, 2025 |
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