Aggregation of fuzzy relations and preservation of transitivity

Susanne Saminger; Ulrich Bodenhofer; Erich Peter Klement; Radko Mesiar

doi:10.1007/11964810_9

Aggregation of fuzzy relations and preservation of transitivity

Susanne Saminger, Ulrich Bodenhofer, Erich Peter Klement, Radko Mesiar

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

2 Citations (Scopus)

Abstract

This contribution provides a comprehensive overview on the theoretical framework of aggregating fuzzy relations under the premise of preserving underlying transitivity conditions. As such it discusses the related property of dominance of aggregation operators. After a thorough introduction of all necessary and basic properties of aggregation operators, in particular dominance, the close relationship between aggregating fuzzy relations and dominance is shown. Further, principles of building dominating aggregation operators as well as classes of aggregation operators dominating one of the basic t-norms are addressed. In the paper by Bodenhofer, Küng and Saminger, also in this volume, the interested reader finds an elaborated (real world) example, i.e., an application of the herein contained theoretical framework.

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	185-206
Number of pages	22
DOIs	https://doi.org/10.1007/11964810_9
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_9

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Saminger, S., Bodenhofer, U., Klement, E. P., & Mesiar, R. (2006). Aggregation of fuzzy relations and preservation of transitivity. In Theory and Applications of Relational Structures as Knowledge Instruments II - International Workshops of COST Action 274, TARSKI, 2002-2005, Selected Revised Papers (pp. 185-206). (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_9

Saminger, Susanne ; Bodenhofer, Ulrich ; Klement, Erich Peter et al. / Aggregation of fuzzy relations and preservation of transitivity. Theory and Applications of Relational Structures as Knowledge Instruments II - International Workshops of COST Action 274, TARSKI, 2002-2005, Selected Revised Papers. 2006. pp. 185-206 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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Saminger, S, Bodenhofer, U, Klement, EP & Mesiar, R 2006, Aggregation of fuzzy relations and preservation of transitivity. 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. 185-206. https://doi.org/10.1007/11964810_9

Aggregation of fuzzy relations and preservation of transitivity. / Saminger, Susanne; Bodenhofer, Ulrich; Klement, Erich Peter et al.
Theory and Applications of Relational Structures as Knowledge Instruments II - International Workshops of COST Action 274, TARSKI, 2002-2005, Selected Revised Papers. 2006. p. 185-206 (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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Saminger S, Bodenhofer U, Klement EP, Mesiar R. Aggregation of fuzzy relations and preservation of transitivity. 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. 185-206. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/11964810_9

Aggregation of fuzzy relations and preservation of transitivity

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