Ulrich Bodenhofer, Janos Fodor, Bernard De Baets,
"General representation theorems for fuzzy weak orders"
: Theory and Applications of Relational Structures as Knowledge Instruments II, Serie Lecture Notes in Computer Science, Nummer 4342, Springer-Verlag, Berlin Heidelberg, Seite(n) 229-244, 2006, ISBN: 3-540-69223-1
General representation theorems for fuzzy weak orders
Sprache des Titels:
Theory and Applications of Relational Structures as Knowledge Instruments II
The present paper gives a state-of-the-art overview of general
representation results for fuzzy weak orders. We do not assume that the
underlying domain of alternatives 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: (i) score function-based representations, (ii) inclusion-based
representations, (iii) representations by decomposition into crisp linear
orders and fuzzy equivalence relations.