Pattern Recognition Based on New Distances between Intuitionistic Fuzzy Sets

Yu Feng; Dong Feng Chen; Hui Liu

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

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 490-495Pattern Recognition Based on New Distances between...

Pattern Recognition Based on New Distances between Intuitionistic Fuzzy Sets

Abstract:

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.

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Periodical:

Advanced Materials Research (Volumes 490-495)

Pages:

412-416

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.490-495.412

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Online since:

March 2012

Authors:

Yu Feng, Dong Feng Chen, Hui Liu

Keywords:

Fuzzy Set, Intuitionistic Fuzzy Set, Pattern Recognition, Similarity Measure

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References

[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

Google Scholar

[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

Google Scholar

[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

Google Scholar

[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

Google Scholar

[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

Google Scholar

[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

Google Scholar

[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

Google Scholar

[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

Google Scholar

[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

Google Scholar

[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

Google Scholar