Title :
New similarity and inclusion measures between type-2 fuzzy sets
Author :
Hwang, Chao-Ming ; Yang, Miin-Shen ; Hung, Wen-Liang
Author_Institution :
Dept. of Appl. Math., Chinese Culture Univ., Taipei, Taiwan
Abstract :
In this paper, new similarity and inclusion measures between type-2 fuzzy sets are proposed. It is known that similarity measures of type-2 fuzzy sets are used to indicate the similarity degree between type-2 fuzzy sets and inclusion measures for type-2 fuzzy sets are the degrees to which a type-2 fuzzy set is a subset of another type-2 fuzzy set. In the paper, we compare these proposed measures with several existing methods for type-2 fuzzy sets. Numerical results show that the proposed measures are better than existing measures.
Keywords :
fuzzy set theory; inclusion measures; similarity degree; similarity measures; type-2 fuzzy set; Cognition; Data structures; Fuzzy sets; Fuzzy systems; Hafnium; Uncertainty; inclusion measure; similarity measure; type-2 fuzzy sets;
Conference_Titel :
Advances in Type-2 Fuzzy Logic Systems (T2FUZZ), 2011 IEEE Symposium on
Conference_Location :
Paris
Print_ISBN :
978-1-61284-077-2
DOI :
10.1109/T2FUZZ.2011.5949547
