Towards a conscious choice of a fuzzy similarity measure: a qualitative point of view

Authors:
Bernadette Bouchon-Meunier;Giulianella Coletti;Marie-Jeanne Lesot;Maria Rifqi
Affiliations:
Université Pierre et Marie Curie-Paris 6, CNRS, UMR, LIP6, Paris, France;Dipartimento Matematica e Informatica, Università di Perugia, Perugia, Italy;Université Pierre et Marie Curie-Paris 6, CNRS, UMR, LIP6, Paris, France;Université Pierre et Marie Curie-Paris 6, CNRS, UMR, LIP6, Paris, France
Venue:
IPMU'10 Proceedings of the Computational intelligence for knowledge-based systems design, and 13th international conference on Information processing and management of uncertainty
Year:
2010

Citing 5
Cited 3

Towards general measures of comparison of objects

Fuzzy Sets and Systems - Special issue dedicated to the memory of Professor Arnold Kaufmann
AI and Similarity

IEEE Intelligent Systems
Similarity measures for binary and numerical data: a survey

International Journal of Knowledge Engineering and Soft Data Paradigms
Towards a Conscious Choice of a Similarity Measure: A Qualitative Point of View

ECSQARU '09 Proceedings of the 10th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Similarities in fuzzy data mining: from a cognitive view to real-world applications

WCCI'08 Proceedings of the 2008 IEEE world conference on Computational intelligence: research frontiers

Cognition-Inspired fuzzy modelling

WCCI'12 Proceedings of the 2012 World Congress conference on Advances in Computational Intelligence
Similarity and dissimilarity measures between fuzzy sets: A formal relational study

Information Sciences: an International Journal
Comparison of entity with fuzzy data types in fuzzy object-oriented databases

Integrated Computer-Aided Engineering

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper, we propose to study similarity measures among fuzzy subsets from the point of view of the ranking relation they induce on object pairs. Using a classic method in measurement theory, introduced by Tversky, we establish necessary and sufficient conditions for the existence of a class of numerical similarity measures, to represent a given ordering relation, depending on the axioms this relation satisfies.