Ulrich Bodenhofer, Janos Fodor, Bernard De Baets,
"A Compendium of Fuzzy Weak Orders: Representations and Constructions"
, in Fuzzy Sets and Systems, Vol. 158, Nummer 8, Seite(n) 811-829, 2007, ISSN: 0165-0114, Fuzzy Sets and Systems, 158(8):811–829, 2007
doi:10.1016/j.fss.2006.10.005
Original Titel:
A Compendium of Fuzzy Weak Orders: Representations and Constructions
Sprache des Titels:
Englisch
Original Kurzfassung:
The present paper gives a state-of-the-art overview of representation and construction results for fuzzy weak orders. We do not assume that the underlying domain is finite. Instead, we concentrate on results that hold in the most general case that the underlying domain is possibly infinite. This paper presents three fundamental representation results, each of which also provides a construction method: (i) score function-based representations, (ii) inclusion-based representations, (iii) representations by decomposition into crisp linear orders and fuzzy equivalence relations, which also facilitates a pseudo-metric-based construction.
Sprache der Kurzfassung:
Englisch
Journal:
Fuzzy Sets and Systems
Volume:
158
Number:
8
Seitenreferenz:
811-829
Erscheinungsjahr:
2007
Notiz zum Zitat:
Fuzzy Sets and Systems, 158(8):811–829, 2007
doi:10.1016/j.fss.2006.10.005
ISSN:
0165-0114
Notiz zur Publikation:
Fuzzy Sets and Systems, 158(8):811–829, 2007
doi:10.1016/j.fss.2006.10.005
Forschungs-