Opening and closure operators of fuzzy preorderings: Basic properties and applications to fuzzy rule-based systems
Martine De Cock
Entienne E. Kerre
|Titel||Opening and closure operators of fuzzy preorderings: Basic properties and applications to fuzzy rule-based systems|
The purpose of this paper is twofold. Firstly, a general concept of closedness offuzzy 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.