General representation theorems for fuzzy weak orders
- Author
- Ulrich Bodenhofer, Bernard De Baets (UGent) and Janos Fodor
- Organization
- Abstract
- 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.
- Keywords
- SIMILARITY RELATIONS
Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-406954
- MLA
- Bodenhofer, Ulrich, et al. “General Representation Theorems for Fuzzy Weak Orders.” LECTURE NOTES IN ARTIFICIAL INTELLIGENCE, edited by H De Swart et al., vol. 4342, Springer, 2006, pp. 229–44.
- APA
- Bodenhofer, U., De Baets, B., & Fodor, J. (2006). General representation theorems for fuzzy weak orders. In H. De Swart, E. Orlowska, G. Schmidt, & M. Roubens (Eds.), LECTURE NOTES IN ARTIFICIAL INTELLIGENCE (Vol. 4342, pp. 229–244). Berlin, Germany: Springer.
- Chicago author-date
- Bodenhofer, Ulrich, Bernard De Baets, and Janos Fodor. 2006. “General Representation Theorems for Fuzzy Weak Orders.” In LECTURE NOTES IN ARTIFICIAL INTELLIGENCE, edited by H De Swart, E Orlowska, G Schmidt, and M Roubens, 4342:229–44. Berlin, Germany: Springer.
- Chicago author-date (all authors)
- Bodenhofer, Ulrich, Bernard De Baets, and Janos Fodor. 2006. “General Representation Theorems for Fuzzy Weak Orders.” In LECTURE NOTES IN ARTIFICIAL INTELLIGENCE, ed by. H De Swart, E Orlowska, G Schmidt, and M Roubens, 4342:229–244. Berlin, Germany: Springer.
- Vancouver
- 1.Bodenhofer U, De Baets B, Fodor J. General representation theorems for fuzzy weak orders. In: De Swart H, Orlowska E, Schmidt G, Roubens M, editors. LECTURE NOTES IN ARTIFICIAL INTELLIGENCE. Berlin, Germany: Springer; 2006. p. 229–44.
- IEEE
- [1]U. Bodenhofer, B. De Baets, and J. Fodor, “General representation theorems for fuzzy weak orders,” in LECTURE NOTES IN ARTIFICIAL INTELLIGENCE, Bangor, North Ireland, 2006, vol. 4342, pp. 229–244.
@inproceedings{406954,
abstract = {{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.}},
author = {{Bodenhofer, Ulrich and De Baets, Bernard and Fodor, Janos}},
booktitle = {{LECTURE NOTES IN ARTIFICIAL INTELLIGENCE}},
editor = {{De Swart, H and Orlowska, E and Schmidt, G and Roubens, M}},
isbn = {{978-3-540-69223-2}},
issn = {{0302-9743}},
keywords = {{SIMILARITY RELATIONS}},
language = {{eng}},
location = {{Bangor, North Ireland}},
pages = {{229--244}},
publisher = {{Springer}},
title = {{General representation theorems for fuzzy weak orders}},
volume = {{4342}},
year = {{2006}},
}