On the evaluation of compatibility with gradual rules in information systems : a topological approach

• Autorzy: Kortelainen J.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

data analysis; knowledge acquisition; L-fuzzy sets; modifier logic; rough sets; topology

PL

analiza danych; topologia; zbiór rozmyty

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 1999
• Tom: Vol. 28, no 1
• Strony: 121--131
• Opis fizyczny: Bibliogr. 13 poz.,

Twórcy

autor

Kortelainen J.