Flexible Query Answering Using Distance-Based Fuzzy Relations

Ulrich Bodenhofer; Josef Küng; Susanne Saminger

doi:10.1007/11964810_10

Flexible Query Answering Using Distance-Based Fuzzy Relations

Ulrich Bodenhofer, Josef Küng, Susanne Saminger

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

Abstract

This paper addresses the added value that is provided by using distance-based fuzzy relations in ﬂexible query answering. To use distances and/or concepts of gradual similarity in that domain is not new. Within the last ten years, however, results in the theory of fuzzy relations have emerged that permit a smooth and pragmatic, yet expressive and eﬀective, integration of ordinal concepts too. So this paper primarily highlights the beneﬁts of integrating fuzzy orderings in ﬂexible query answering systems, where the smooth interplay of fuzzy equivalence relations and fuzzy orderings allows to use simple distances as a common basis for deﬁning both types of relations. As one case study, we discuss a pragmatic variant of a ﬂexible query answering systemthe so-called Vague Query System (VQS). The integration of fuzzy orderings into that system is provided in full detail along with the necessary methodological background and demonstrative examples.

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
Editors	H. C. M. de Swart, E. Orlowska, M. Roubens, G. Schmidt
Place of Publication	Berlin Heidelberg
Publisher	Springer Verlag
Pages	207-228
Number of pages	22
Volume	4342/2006
ISBN (Print)	3540692231, 9783540692232
DOIs	https://doi.org/10.1007/11964810_10
Publication status	Published - 2006

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

Fields of science

101004 Biomathematics
101027 Dynamical systems
101028 Mathematical modelling
101029 Mathematical statistics
101014 Numerical mathematics
101015 Operations research
101016 Optimisation
101017 Game theory
101018 Statistics
101019 Stochastics
101024 Probability theory
101026 Time series analysis
102 Computer Sciences
102001 Artificial intelligence
102003 Image processing
102004 Bioinformatics
102013 Human-computer interaction
102018 Artificial neural networks
102019 Machine learning
103029 Statistical physics
106005 Bioinformatics
106007 Biostatistics
202017 Embedded systems
202035 Robotics
202036 Sensor systems
202037 Signal processing
305901 Computer-aided diagnosis and therapy
305905 Medical informatics
305907 Medical statistics
102032 Computational intelligence
102033 Data mining
101031 Approximation theory
101 Mathematics
101013 Mathematical logic
101020 Technical mathematics
102009 Computer simulation
102023 Supercomputing
202027 Mechatronics
206001 Biomedical engineering
206003 Medical physics
102035 Data science
102006 Computer supported cooperative work (CSCW)
102010 Database systems
102014 Information design
102015 Information systems
102016 IT security
102028 Knowledge engineering
102022 Software development
102025 Distributed systems
502007 E-commerce
505002 Data protection
506002 E-government
509018 Knowledge management
202007 Computer integrated manufacturing (CIM)

Access to Document

10.1007/11964810_10

Cite this

Bodenhofer, U., Küng, J., & Saminger, S. (2006). Flexible Query Answering Using Distance-Based Fuzzy Relations. In H. C. M. de Swart, E. Orlowska, M. Roubens, G. Schmidt (Ed.), Theory and Applications of Relational Structures as Knowledge Instruments II - International Workshops of COST Action 274, TARSKI, 2002-2005, Selected Revised Papers (Vol. 4342/2006, pp. 207-228). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4342 LNAI). Springer Verlag. https://doi.org/10.1007/11964810_10

Bodenhofer, Ulrich ; Küng, Josef ; Saminger, Susanne. / Flexible Query Answering Using Distance-Based Fuzzy Relations. Theory and Applications of Relational Structures as Knowledge Instruments II - International Workshops of COST Action 274, TARSKI, 2002-2005, Selected Revised Papers. editor / H. C. M. de Swart, E. Orlowska, M. Roubens, G. Schmidt. Vol. 4342/2006 Berlin Heidelberg : Springer Verlag, 2006. pp. 207-228 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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Bodenhofer, U, Küng, J & Saminger, S 2006, Flexible Query Answering Using Distance-Based Fuzzy Relations. in H. C. M. de Swart, E. Orlowska, M. Roubens, G. Schmidt (ed.), Theory and Applications of Relational Structures as Knowledge Instruments II - International Workshops of COST Action 274, TARSKI, 2002-2005, Selected Revised Papers. vol. 4342/2006, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 4342 LNAI, Springer Verlag, Berlin Heidelberg, pp. 207-228. https://doi.org/10.1007/11964810_10

Flexible Query Answering Using Distance-Based Fuzzy Relations. / Bodenhofer, Ulrich; Küng, Josef ; Saminger, Susanne.
Theory and Applications of Relational Structures as Knowledge Instruments II - International Workshops of COST Action 274, TARSKI, 2002-2005, Selected Revised Papers. ed. / H. C. M. de Swart, E. Orlowska, M. Roubens, G. Schmidt. Vol. 4342/2006 Berlin Heidelberg: Springer Verlag, 2006. p. 207-228 (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 proceeding › Conference proceedings › peer-review

TY - GEN

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AB - This paper addresses the added value that is provided by using distance-based fuzzy relations in ﬂexible query answering. To use distances and/or concepts of gradual similarity in that domain is not new. Within the last ten years, however, results in the theory of fuzzy relations have emerged that permit a smooth and pragmatic, yet expressive and eﬀective, integration of ordinal concepts too. So this paper primarily highlights the beneﬁts of integrating fuzzy orderings in ﬂexible query answering systems, where the smooth interplay of fuzzy equivalence relations and fuzzy orderings allows to use simple distances as a common basis for deﬁning both types of relations. As one case study, we discuss a pragmatic variant of a ﬂexible query answering systemthe so-called Vague Query System (VQS). The integration of fuzzy orderings into that system is provided in full detail along with the necessary methodological background and demonstrative examples.

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Bodenhofer U, Küng J , Saminger S. Flexible Query Answering Using Distance-Based Fuzzy Relations. In H. C. M. de Swart, E. Orlowska, M. Roubens, G. Schmidt, editor, Theory and Applications of Relational Structures as Knowledge Instruments II - International Workshops of COST Action 274, TARSKI, 2002-2005, Selected Revised Papers. Vol. 4342/2006. Berlin Heidelberg: Springer Verlag. 2006. p. 207-228. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/11964810_10

Flexible Query Answering Using Distance-Based Fuzzy Relations

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