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Overlap index, overlap functions and migrativity

Bustince, H. and Fernandez, J. and Mesiar, R. and Montero de Juan, Francisco Javier and Orduna, R (2009) Overlap index, overlap functions and migrativity. In Proceedings of the Joint 2009 International Fuzzy Systems Association World Congress and 2009 European Society of Fuzzy Logic and Technology Conference. Computer Science Bibliographies . European Society of Fuzzy Logic and Technology, Lisbon, PORTUGAL, pp. 300-305. ISBN 978-989-95079-6-8

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In this work we study overlap degrees expressed in terms of overlap functions. We present the basic properties that from our point of view must satisfy these overlap functions. We study a construction method, we analyze which t-norms are also overlap functions and we prove that if we apply particular aggregations to such functions we recover the overlap index between fuzzy sets as defined by Dubois, and the consistency index of Zadeh. We also consider some properties that can be required to overlap functions, as k-Lipschitzianity or migrativity

Item Type:Book Section
Additional Information:Lisbon, Portugal, July 20-24, 2009
Uncontrolled Keywords:Restricted equivalence functions; Di- subsethood measures; Aggregation operators; Fuzzy-sets; Constrution
Subjects:Sciences > Mathematics > Logic, Symbolic and mathematical
ID Code:16893

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