Relatedness of fuzzy sets

Issue title: Dedicated to the 60th birthday of Etienne E. Kerre

Article type: Research Article

Authors: Schockaert, S. | De Cock, M. | Cornelis, C.

Affiliations: Department of Applied Mathematics and Computer Science, Ghent University, Belgium

Note: [] Corresponding author. Krijgslaan 281 (S9), 9000 Gent, Belgium. Tel.: +32 9264 4772; Fax: +32 9264 4995; E-mail: steven.schockaert@ugent.be

Abstract: Comparison measures to assess similarity, inclusion, and overlap of fuzzy sets are well known and widely used. This paper goes one step further by bootstrapping a more general concept of relatedness of fuzzy sets based on the relatedness of their elements. We study properties of 6 relatedness measures of this kind, and we illustrate their use in interesting applications such as information retrieval, temporal reasoning and recommender systems.

Journal: Journal of Intelligent & Fuzzy Systems, vol. 16, no. 4, pp. 297-303, 2005