General representation theorems for fuzzy weak orders

Ulrich Bodenhofer; Bernard De Baets; Janos Fodor

doi:10.1007/11964810_11

General representation theorems for fuzzy weak orders

Ulrich Bodenhofer, Bernard De Baets, Janos Fodor

Research output: Chapter in Book/Report/Conference proceedings › Conference contribution › peer-review

1 Citation (Scopus)

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.

Original language	English
Title of host publication	Theory and Applications of Relational Structures as Knowledge Instruments II - International Workshops of COST Action 274, TARSKI, 2002-2005, Selected Revised Papers
Pages	229-244
Number of pages	16
DOIs	https://doi.org/10.1007/11964810_11
Publication status	Published - 2006
Externally published	Yes

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	4342 LNAI
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

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10.1007/11964810_11

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Bodenhofer, U., De Baets, B., & Fodor, J. (2006). General representation theorems for fuzzy weak orders. In Theory and Applications of Relational Structures as Knowledge Instruments II - International Workshops of COST Action 274, TARSKI, 2002-2005, Selected Revised Papers (pp. 229-244). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4342 LNAI). https://doi.org/10.1007/11964810_11

Bodenhofer, Ulrich ; De Baets, Bernard ; Fodor, Janos. / General representation theorems for fuzzy weak orders. Theory and Applications of Relational Structures as Knowledge Instruments II - International Workshops of COST Action 274, TARSKI, 2002-2005, Selected Revised Papers. 2006. pp. 229-244 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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Bodenhofer, U, De Baets, B & Fodor, J 2006, General representation theorems for fuzzy weak orders. in Theory and Applications of Relational Structures as Knowledge Instruments II - International Workshops of COST Action 274, TARSKI, 2002-2005, Selected Revised Papers. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 4342 LNAI, pp. 229-244. https://doi.org/10.1007/11964810_11

General representation theorems for fuzzy weak orders. / Bodenhofer, Ulrich; De Baets, Bernard; Fodor, Janos.
Theory and Applications of Relational Structures as Knowledge Instruments II - International Workshops of COST Action 274, TARSKI, 2002-2005, Selected Revised Papers. 2006. p. 229-244 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4342 LNAI).

Research output: Chapter in Book/Report/Conference proceedings › Conference contribution › peer-review

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Bodenhofer U, De Baets B, Fodor J. General representation theorems for fuzzy weak orders. In Theory and Applications of Relational Structures as Knowledge Instruments II - International Workshops of COST Action 274, TARSKI, 2002-2005, Selected Revised Papers. 2006. p. 229-244. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/11964810_11

General representation theorems for fuzzy weak orders

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