標題: A new similarity/distance measure between intuitionistic fuzzy sets based on the transformed isosceles triangles and its applications to pattern recognition
作者: Jiang, Qian
Jin, Xin
Lee, Shin-Jye
Yao, Shaowen
科技管理研究所
Institute of Management of Technology
關鍵字: Intuitionistic fuzzy sets;Similarity measure;Distance measure;Transformed isosceles triangles of fuzzy sets;Decision making;Clustering analysis
公開日期: 1-Feb-2019
摘要: Intuitionistic fuzzy set (IFS) is a representative model of fuzzy theory, and it is widely used to deal with fuzzy and uncertain problems in many practical applications. In IFS theory, the calculation of the distance and similarity between IFSs are significant techniques that are effective measurement methods for distinguishing the similarity degree between IFSs, and the two measures can be used in pattern recognition, decision-making and so on. In this paper, a novel similarity/distance measure between IFSs is proposed according to the intersections of the transformed isosceles triangles from IFSs, and the isosceles triangles are placed in a square area; furthermore, the properties of the proposed measure are also analyzed to prove whether the measure satisfies the definition of the similarity/distance measure for IFSs or not. The numerical experiments are implemented to test the validity of the proposed measure; in addition, several pattern recognition and clustering problems are also employed to further demonstrate its effectiveness. The experimental results show that the proposed measure is an accurate and superior measure that can avoid the shortcomings of most existing measures. Finally, the directions for future research of this work are also represented in the conclusion. (C) 2018 Elsevier Ltd. All rights reserved.
URI: http://dx.doi.org/10.1016/j.eswa.2018.08.046
http://hdl.handle.net/11536/148406
ISSN: 0957-4174
DOI: 10.1016/j.eswa.2018.08.046
期刊: EXPERT SYSTEMS WITH APPLICATIONS
Volume: 116
起始頁: 439
結束頁: 453
Appears in Collections:Articles