Name
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1016/j.fss.2006.10.005 | Fuzzy Sets and Systems |
Keywords | Field | DocType |
fuzzy preference modeling,pseudo-metric-based construction,present paper,fuzzy equivalence relation,fundamental representation result,score function-based representation,underlying domain,construction method,inclusion-based representation,construction result,fuzzy weak order,fuzzy relation,score function,linear order | Fundamental representation,Discrete mathematics,Information processing,Algebra,Fuzzy logic,Fuzzy set,Decomposition method (constraint satisfaction),Fuzzy control system,Score,Function representation,Mathematics,Calculus | Journal |
Volume | Issue | ISSN |
158 | 8 | Fuzzy Sets and Systems |
Citations | PageRank | References |
43 | 1.81 | 10 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ulrich Bodenhofer | 1 | 705 | 68.02 |
| Bernard De Baets | 2 | 2994 | 300.39 |
| János C. Fodor | 3 | 718 | 77.37 |