Openings and closures of fuzzy preorderings: Theoretical basics and applications to fuzzy rule-based systems
Martine De Cock
Etienne E. Kerre
|Titel||Openings and closures of fuzzy preorderings: Theoretical basics and applications to fuzzy rule-based systems|
|Journal||Int. Journal of General Systems|
The purpose of this paper is twofold. Firstly, a general concept of closedness of fuzzy sets under fuzzy preorderings is proposed and investigated along with the corresponding opening and closure operators. Secondly, the practical impact of this notion is demonstrated by applying it to the analysis of ordering-based modifiers.