Analysis on Overlapped and Non-overlapped Data

Abstract Similarity measure design on non-overlapped data was carried out, and compared with the case of overlapped data. By the application result, it was proved that the conventional similarity measure was not proper to calculate the similarity measure of the non-overlapped case. To solve the similarity measure design problem, neighbor data distance was considered to design the similarity measure of non-overlapped data. Hence different approach to design similarity measure was proposed and proved with consideration of neighbor information. With the example of artificial data, similarity measure calculation was carried out. Similarity measure extension to intuitionistic fuzzy sets(IFSs) containing uncertainty named hesitance was also followed

[1]  S. Pal,et al.  Object-background segmentation using new definitions of entropy , 1989 .

[2]  Keun Ho Ryu,et al.  Study on Entropy and Similarity Measure for Fuzzy Set , 2009, IEICE Trans. Inf. Syst..

[3]  Shigeo Abe,et al.  Neural Networks and Fuzzy Systems , 1996, Springer US.

[4]  Krassimir T. Atanassov,et al.  Intuitionistic Fuzzy Sets - Theory and Applications , 1999, Studies in Fuzziness and Soft Computing.

[5]  Sanghyuk Lee,et al.  Design of Fuzzy Entropy for Non Convex Membership Function , 2008, ICIC.

[6]  David L. Olson,et al.  Similarity measures between intuitionistic fuzzy (vague) sets: A comparative analysis , 2007, Pattern Recognit. Lett..

[7]  Krassimir T. Atanassov,et al.  Intuitionistic fuzzy sets , 1986 .

[8]  Witold Pedrycz,et al.  Design of Similarity and Dissimilarity Measures for Fuzzy Sets on the Basis of Distance Measure , 2009 .

[9]  Lotfi A. Zadeh,et al.  Please Scroll down for Article International Journal of General Systems Fuzzy Sets and Systems* Fuzzy Sets and Systems* , 2022 .

[10]  Nikhil R. Pal,et al.  Some new information measures for fuzzy sets , 1993, Inf. Sci..

[11]  Shyi-Ming Chen,et al.  Fuzzy risk analysis based on similarity measures of generalized fuzzy numbers , 2003, IEEE Trans. Fuzzy Syst..

[12]  Settimo Termini,et al.  A Definition of a Nonprobabilistic Entropy in the Setting of Fuzzy Sets Theory , 1972, Inf. Control..

[13]  Liu Xuecheng,et al.  Entropy, distance measure and similarity measure of fuzzy sets and their relations , 1992 .

[14]  Dengfeng Li,et al.  New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions , 2002, Pattern Recognit. Lett..