@article{50db23d009f443df84eeb8d434a8b774,
title = "Openings and closures of fuzzy preorderings: Theoretical basics and applications to fuzzy rule-based systems",
abstract = "The purpose of this paper is two-fold. 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.",
keywords = "Closedness, Fuzzy preordering, Fuzzy relation, Linguistic modifier",
author = "Ulrich Bodenhofer and {De Cock}, Martine and Kerre, {Etienne E.}",
note = "Funding Information: *Corresponding author. Fax: {\th}43-7236-3343-888. E-mail:
[email protected] †This work was supported by the Kplus Competence Center Program which is funded by the Austrian Government, the Province of Upper Austria, and the Chamber of Commerce of Upper Austria. ‡This work was supported by the Fund for Scientific Research of Flanders (FWO). Parts of this work were done during a COST Action 15 short-term scientific mission of Martine De Cock at the Fuzzy Logic Laboratory Linz-Hagenberg in April 2000.",
year = "2003",
doi = "10.1080/0308107031000135026",
language = "English",
volume = "32",
pages = "343--360",
journal = "International Journal of General Systems",
issn = "0308-1079",
publisher = "Taylor and Francis Ltd.",
number = "4",
}