Weighted similarity measure on interval-valued fuzzy sets and its application to pattern recognition

Document Type: Research Paper

Authors

1 Department of Statistics, Faculty of Mathematical Sciences and Statis- tics, University of Birjand, Birjand, Iran

2 Department of Engineering Science, College of Engineering, Univer- sity of Tehran, Tehran, P.O. Box 11365-4563, Iran

Abstract

A new approach to define the similarity measure between
interval-valued fuzzy sets is presented. The proposed approach is
based on a weighted measure in which the normalized similarities
between lower functions and also between upper functions are
combined by a weight parameter. The properties of this similarity
measure are investigated. It is shown that, the proposed measure
has some advantages in comparison with  the  commonly used
similarity measures.

Keywords


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