ON SIMILARITY, INCLUSION MEASURE AND ENTROPY BETWEEN TYPE-2 FUZZY SETS

被引：11
|
作者：
Hwang, Chao-Ming [2 ]
Yang, Miin-Shen [1 ]
Hung, Wen-Liang [3 ]
机构：
[1] Chung Yuan Christian Univ, Dept Appl Math, Chungli 32023, Taiwan
[2] Chinese Culture Univ, Dept Appl Math, Taipei, Taiwan
[3] Natl Hsinchu Univ Educ, Dept Appl Math, Hsinchu, Taiwan
来源：
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS | 2012年 / 20卷 / 03期
关键词：
Fuzzy sets; type-2 fuzzy sets; similarity measure; inclusion measure; entropy; clustering; SUBSETHOOD MEASURES; FUZZIFICATION; CONSTRUCTION; DEFINITION; FUZZINESS;
D O I：
10.1142/S0218488512500225
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, new similarity, inclusion measure and entropy between type-2 fuzzy sets corresponding to grades of memberships are proposed. We also create the relationships among these measures between type-2 fuzzy sets. Several examples are used to present the calculation of these similarity, inclusion measure and entropy between type-2 fuzzy sets. The comparison results show that the proposed similarity measure presents better than those of Hung and Yang (2004) and Yang and Lin (2009). Moreover, measuring the similarity between type-2 fuzzy sets is important in clustering. We also use the proposed similarity measure as a clustering method for type-2 fuzzy sets.
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页码：433 / 449
页数：17
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