2595 1591
Full Length Article
American Journal of Business and Operations Research
Volume 1 , Issue 1, PP: 5-18 , 2020 | Cite this article as | XML | Html |PDF

Title

A New Similarity Measure of Picture Fuzzy Sets And Application in pattern recognition

  Ngoc Minh Chau, Nguyen Thi Lan, Nguyen Xuan Thao 1 *

1  Faculty of Information Technology, Vietnam National University of Agriculture, Vietnam
    (nmchau@vnua.edu.vn; ngtlan@vnua.edu.vn; nxthao@vnua.edu.vn)


Doi   :   https://doi.org/10.54216/AJBOR.010101

Received February 10, 2019 Accepted November 01, 2019

Abstract :

In this paper, we propose some novel similarity measures between picture fuzzy sets. The novel similarity measure is constructed by combining negative functions of each degree membership of picture fuzzy set. We apply them in several pattern recognition problems. Finally, we apply them to find the fault diagnosis of the steam turbine.

Keywords :

Picture fuzzy set; similarity measure; fault turbine

References :

[1] K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy sets and Systems, 20(1) (1986), 87-96.

[2] K. Atanassov, On Intuitionistic Fuzzy Sets Theo-ry, Springer, Berlin, 2012.

[3] K. Atanassov, and G. Gargov, Interval valued intuitionistic fuzzy sets, Fuzzy sets and systems, 31(3) (1989), 343-349.

[4] B.C. Cường, Picture fuzzy sets, Journal of Com-puter Science and Cybernetics 30.4 (2014): 409-420.

[5] Dinh NV, NX Thao, NM Chau, On the picture fuzzy database: theories and application, Journal of Scientist and Development (2015), 13(6), 1028-1035.

[6] Dinh, N. V., Thao, N. X., & Chau, N. M. (2017). Some dissimilarity measures of picture fuzzy set. the 10th Fundamental and Applied IT Re-search (FAIR’2017), 104-109.

[7] Dinh, NV, & Thao, N. X. (2018). Some measures of picture fuzzy sets and their application in mul-ti-attribute decision making. Int. J. Math. Sci. Comput.(IJMSC), 4(3), 23-41.

[8] Dinh, NV, Thao, N. X., & Chau, N. M. (2019). DISTANCE AND DISSIMILARITY MEASURE OF PICTURE FUZZY SETS. PROCEEDING of Publishing House for Science and Technology.

[9] Dutta, P., & Ganju, S. (2017). Some aspects of picture fuzzy set. Transactions of A. Razmadze Mathematical Institute 172(2), 164-175.

[10] Hoa, N. D., & Thong, P. H. (2017). Some Im-provements of Fuzzy Clustering Algorithms Using Picture Fuzzy Sets and Applications for Geo-graphic Data Clustering. VNU Journal of Science: Computer Science and Communication Engi-neering, 32(3).

[11] Le, N. T., Van Nguyen, D., Ngoc, C. M., & Ngu-yen, T. X. (2018). NEW DISSIMILARITY MEASURES ON PICTURE FUZZY SETS AND APPLICATIONS. Journal of Computer Science and Cybernetics, 34(3), 219-231.

[12] Nguyen, X. T. (2018). Evaluating Water Reuse Applications under Uncertainty: A Novel Picture Fuzzy Multi Criteria Decision Making Medthod. International Journal of Information Engineering and Electronic Business, 10(6), 32-39.

[13] Singh, P. (2015). Correlation coefficients for pic-ture fuzzy sets. Journal of Intelligent & Fuzzy Systems, 28(2), 591-604.

[14] Son LH. (2015). DPFCM: A novel distributed picture fuzzy clustering method on picture fuzzy sets 42(1), 51-66.

[15] Son, L. H. (2016). Generalized picture distance measure and applications to picture fuzzy clus-tering. Applied Soft Computing, 46(C), 284-295.

[16] Thao, N.X., & Dinh, N. V. (2015). Rough picture fuzzy set and picture fuzzy topologies. Journal of Computer Science and Cybernetics, 31(3), 245.

[17] Thao, N. X., & Smarandache, F. (2016). (I, T)-Standard neutrosophic rough set and its topolo-gies properties. V14, pp 65-70.

[18] Thao, N. X., Cuong, B. C., Ali, M., & Lan, L. H. (2018). Fuzzy equivalence on standard and rough neutrosophic sets and applications to clus-tering analysis. In Information Systems Design and Intelligent Applications (pp. 834-842). Springer, Singapore.

[19] Thao, N. X., Ali, M., Nhung, L. T., Gianey, H. K., & Smarandache, F. (2019). A new multi-criteria decision making algorithm for medical diagnosis and classification problems using divergence measure of picture fuzzy sets. Journal of Intelli-gent & Fuzzy Systems, (Preprint), 1-12.

[20] Thong, N. T. (2015). HIFCF: An effective hybrid model between picture fuzzy clustering and intui-tionistic fuzzy recommender systems for medical diagnosis. Expert Systems with Applica-tions, 42(7), 3682-3701.

[21] Thong, P. H. (2016). Picture fuzzy clustering: a new computational intelligence method. Soft computing, 20(9), 3549-3562.

[22] Ye, J. (2017). Single-valued neutrosophic similari-ty measures based on cotangent function and their application in the fault diagnosis of steam turbine. Soft Computing, 21(3), 817-825.

[23] Wang, C., Zhou, X., Tu, H., & Tao, S. (2017). Some geometric aggregation operators based on picture fuzzy sets and their application in multi-ple attribute decision making. Italian Journal of Pure and Applied Mathematics, 37, 477-492.

[24] Wei, G. (2016). Picture fuzzy cross-entropy for multiple attribute decision making prob-lems. Journal of Business Economics and Man-agement, 17(4), 491-502.

[25] Wei, G. (2017). Some cosine similarity measures for picture fuzzy sets and their applications to strategic decision making. Informatica, 28(3), 547-564.

[26] Wei, G. (2018). Some similarity measures for picture fuzzy sets and their applications. Iranian Journal of Fuzzy Systems, 15(1), 77-89.

[27] L. A. Zadeh, Fuzzy sets, Information and Control 8(3) (1965), 338-353.


Cite this Article as :
Style #
MLA Ngoc Minh Chau, Nguyen Thi Lan, Nguyen Xuan Thao. "A New Similarity Measure of Picture Fuzzy Sets And Application in pattern recognition." American Journal of Business and Operations Research, Vol. 1, No. 1, 2020 ,PP. 5-18 (Doi   :  https://doi.org/10.54216/AJBOR.010101)
APA Ngoc Minh Chau, Nguyen Thi Lan, Nguyen Xuan Thao. (2020). A New Similarity Measure of Picture Fuzzy Sets And Application in pattern recognition. Journal of American Journal of Business and Operations Research, 1 ( 1 ), 5-18 (Doi   :  https://doi.org/10.54216/AJBOR.010101)
Chicago Ngoc Minh Chau, Nguyen Thi Lan, Nguyen Xuan Thao. "A New Similarity Measure of Picture Fuzzy Sets And Application in pattern recognition." Journal of American Journal of Business and Operations Research, 1 no. 1 (2020): 5-18 (Doi   :  https://doi.org/10.54216/AJBOR.010101)
Harvard Ngoc Minh Chau, Nguyen Thi Lan, Nguyen Xuan Thao. (2020). A New Similarity Measure of Picture Fuzzy Sets And Application in pattern recognition. Journal of American Journal of Business and Operations Research, 1 ( 1 ), 5-18 (Doi   :  https://doi.org/10.54216/AJBOR.010101)
Vancouver Ngoc Minh Chau, Nguyen Thi Lan, Nguyen Xuan Thao. A New Similarity Measure of Picture Fuzzy Sets And Application in pattern recognition. Journal of American Journal of Business and Operations Research, (2020); 1 ( 1 ): 5-18 (Doi   :  https://doi.org/10.54216/AJBOR.010101)
IEEE Ngoc Minh Chau, Nguyen Thi Lan, Nguyen Xuan Thao, A New Similarity Measure of Picture Fuzzy Sets And Application in pattern recognition, Journal of American Journal of Business and Operations Research, Vol. 1 , No. 1 , (2020) : 5-18 (Doi   :  https://doi.org/10.54216/AJBOR.010101)