Title :
IV-similarity measure and IV-entropy of interval valued fuzzy sets
Author :
Zeng, Wenyi ; Zhao, Yibin
Author_Institution :
Coll. of Inf. Sci. & Technol., Beijing Normal Univ., Beijing, China
Abstract :
In this paper, we introduce the concepts of IV-similarity measure and IV-entropy of interval valued fuzzy sets, investigate the relationship between the IV-similarity measure and the IV-entropy of interval valued fuzzy sets in detail, prove three theorems that the IV-similarity measure and the IV-entropy of interval valued fuzzy sets can be transformed by each other based on their axiomatic definitions and propose some formulas to calculate the IV-similarity measure and the IV-entropy of interval valued fuzzy sets.
Keywords :
entropy; fuzzy set theory; IV-entropy; IV-similarity measurement; axiomatic definitions; interval valued fuzzy sets; Entropy; Fuzzy reasoning; Fuzzy set theory; Fuzzy sets; Image processing; Indexes; Transforms; IV-entropy; IV-inclusion measure; IV-similarity measure; Interval valued fuzzy set; Interval-number;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery (FSKD), 2010 Seventh International Conference on
Conference_Location :
Yantai, Shandong
Print_ISBN :
978-1-4244-5931-5
DOI :
10.1109/FSKD.2010.5569698
