Pattern Recognition Based on New Distances between Intuitionistic Fuzzy Sets

Abstract:

Article Preview

In the application of intuitionistic fuzzy sets(IFSs), distances and similarity measures play very important roles. In this paper, firstly, the modified definition of normalized distance and degree of similarity between IFSs are introduced, which are proved to be more reasonable than some existing definitions. Then, the relations between normalized distance and degree of similarity are analyzed. New distances and similarity measures between IFSs are proposed and corresponding proofs are given. Finally, a comparison of application to pattern recognitions is made to show the proposed distances and similarity measures are more reasonable than some existing methods.

Info:

Periodical:

Advanced Materials Research (Volumes 490-495)

Edited by:

Ran Chen and Wen-Pei Sung

Pages:

412-416

DOI:

10.4028/www.scientific.net/AMR.490-495.412

Citation:

Y. Feng et al., "Pattern Recognition Based on New Distances between Intuitionistic Fuzzy Sets", Advanced Materials Research, Vols. 490-495, pp. 412-416, 2012

Online since:

March 2012

Export:

Price:

$38.00

[1] Atanassov K: Intuitionistic fuzzy sets. Fuzzy Sets and Systems, Vol. 20 No. 1 (1986) 87–96.

DOI: 10.1016/s0165-0114(86)80034-3

[2] Atanassov K: More on intuitionistic fuzzy sets. Fuzzy Sets and Systems, Vol. 33 No. 1 (1989) 37–46.

DOI: 10.1016/0165-0114(89)90215-7

[3] Atanassov K: New operations defined over the intuitionistic fuzzy sets. Fuzzy Sets and Systems, Vol. 61 No. 2 (1994) 137–142.

DOI: 10.1016/0165-0114(94)90229-1

[4] Szmidt, E., Kacprzyk, J.: Distances between intuitionistic fuzzy sets. Fuzzy Sets and Systems, Vol. 114 No. 3 (2000) 505–518.

DOI: 10.1016/s0165-0114(98)00244-9

[5] Przemyslaw Grzegorzewski: Distances between intuitionistic fuzzy sets and/or interval-valued fuzzy sets based on the Hausdorff metric. Fuzzy Sets and Systems, Vol. 148 (2004) 319–328.

DOI: 10.1016/j.fss.2003.08.005

[6] Wang,W., Xin X.: Distance measure between intuitionistic fuzzy sets. Pattern Recognition Lett, Vol. 26, No. 13, (2005) 2063–(2069).

DOI: 10.1016/j.patrec.2005.03.018

[7] Li,D., Feng,C.: New similarity measures of intuitionistic fuzzy sets and applications to pattern recognitions. Pattern Recognition Lett, Vol. 23, (2002) 221–225.

DOI: 10.1016/s0167-8655(01)00110-6

[8] Liang,Z., Shi,P.: Similarity measures on intuitionistic fuzzy sets. Pattern Recognition Lett, Vol. 24, (2003) 2687–2693.

DOI: 10.1016/s0167-8655(03)00111-9

[9] Mitchell, H.B.: On the Dengfeng–Chutian similarity measure and its application to pattern recognition. Pattern Recognition Lett, Vol. 24 (2003) 3101–3104.

DOI: 10.1016/s0167-8655(03)00169-7

[10] Liu,H.: New similarity measures between intuitionistic fuzzy sets and between elements. Mathematical and Computer Modelling, Vol. 42 (2005) 61–70.

DOI: 10.1016/j.mcm.2005.04.002

In order to see related information, you need to Login.