- Tytuł:
- On the evaluation of compatibility with gradual rules in information systems : a topological approach
- Autorzy:
- Kortelainen, J.
- Powiązania:
- https://bibliotekanauki.pl/articles/205981.pdf
- Data publikacji:
- 1999
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
analiza danych
topologia
zbiór rozmyty
data analysis
knowledge acquisition
L-fuzzy sets
modifier logic
rough sets
topology - Opis:
- The paper presents an approach to detecting dependence of a decision-maker's actions (or decisions) on conditions with respect to a certain type of fuzzy rules, namely gradual rules. Gradual rules are of the form "the more c is C, the more d is D", where C and D are L-fuzzy sets on the domain of the attributes c and d with membership values possibly in different lattices, respectively. The decision-maker's actions and conditions for those are found in a data base-like system, called an information system. We use the information system to define relations corresponding to L-fuzzy sets, and we define weakening modifiers by these relations. These modifiers are closure operators in the corresponding topologies, and we can define fineness relation between L-fuzzy sets. This relation is useful when comparing different decision-maker's actions. We define strong degree and topological degree of depedence of the attributes (with respect to a gradual rule), and we study some properties of those. Finally, we present a small application.
- Źródło:
-
Control and Cybernetics; 1999, 28, 1; 121-131
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł