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

CCUR > College of Natural Science and Engineering > College of Science > Department of Applied Mathematics > journal articles > Item 987654321/24233

Please use this identifier to cite or link to this item: https://irlib.pccu.edu.tw/handle/987654321/24233

Title:	ON SIMILARITY, INCLUSION MEASURE AND ENTROPY BETWEEN TYPE-2 FUZZY SETS
Authors:	Hwang, CM (Hwang, Chao-Ming) Yang, MS (Yang, Miin-Shen) Hung, WL (Hung, Wen-Liang)
Contributors:	Dept Appl Math
Keywords:	Fuzzy sets type-2 fuzzy sets similarity measure inclusion measure entropy clustering
Date:	2012-06
Issue Date:	2013-02-20 15:56:25 (UTC+8)
Abstract:	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.
Relation:	INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS 卷: 20 期: 3 頁數: 433-449
Appears in Collections:	[Department of Applied Mathematics] journal articles

Files in This Item:

File	Description	Size	Format
index.html		0Kb	HTML	478	View/Open

View Licence