Some measures of picture fuzzy sets and their application in multi-attribute decision making
Автор: Nguyen Van Dinh, Nguyen Xuan Thao
Журнал: International Journal of Mathematical Sciences and Computing @ijmsc
Статья в выпуске: 3 vol.4, 2018 года.
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To measure the difference of two fuzzy sets / intuitionistic sets, we can use the distance measure and dissimilarity measure between fuzzy sets. Characterization of distance/dissimilarity measure between fuzzy sets/intuitionistic fuzzy set is important as it has application in different areas: pattern recognition, image segmentation, and decision making. Picture fuzzy set (PFS) is a generalization of fuzzy set and intuitionistic set, so that it have many application. In this paper, we introduce concepts: difference between PFS-sets, distance measure and dissimilarity measure between picture fuzzy sets, and also provide the formulas for determining these values. We also present an application of dissimilarity measures in multi-attribute decision making.
Picture fuzzy set (PFS), difference between PFS-sets, distance measure and dissimilarity measure between picture fuzzy sets, multi-attribute decision making
Короткий адрес: https://sciup.org/15016672
IDR: 15016672 | DOI: 10.5815/ijmsc.2018.03.03
Список литературы Some measures of picture fuzzy sets and their application in multi-attribute decision making
- B. Bouchon-Meunier, M. Rifqi, and S. Bothorel. “Towards general measures of comparison of objects”. Fuzzy sets and systems, 84(2), pp 143-153, 1996.
- B. C., Cuong, “Picture Fuzzy Sets”. Journal of Computer Science and Cybernetics 30(4), p 409-420, 2014.
- B. C. Cuong and P. Van Hai., October). “Some fuzzy logic operators for picture fuzzy sets”. In Knowledge and Systems Engineering (KSE), 2015 Seventh International Conference on , pp. 132-137. IEEE, 2015.
- P. A. Ejegwa, A. J. Akubo, and O. M Joshua. “Intuitionistic fuzzy set and its application in career determination via normalized Euclidean distance method”. European Scientific Journal, ESJ, 10(15), 2014
- F. Faghihi. “Generalization of the dissimilarity measure of fuzzy sets”. In International Mathematical Forum . Vol. 2, No. 68, pp. 3395-3400, 2007.
- A. G. Hatzimichailidis, G. A. Papakostas, and V. G. Kaburlasos. “A novel distance measure of intuitionistic fuzzy sets and its application to pattern recognition problems”. International Journal of Intelligent Systems, 27(4), pp 396-409, 2012.
- D. F. Li. “Some measures of dissimilarity in intuitionistic fuzzy structures”. Journal of Computer and System Sciences, 68(1), pp 115-122, 2004.
- J. Lindblad and N. Sladoje. “Linear time distances between fuzzy sets with applications to pattern matching and classification”. IEEE Transactions on Image Processing, 23(1), pp 126-136,2014 .
- S. Maheshwari and A. Srivastava. “Study on divergence measures for intuitionistic fuzzy sets and its application in medical diagnosis”. Journal of Applied Analysis and Computation, 6(3), pp 772-789, 2016.
- S. Mahmood. “Dissimilarity Fuzzy Soft Points and Their Applications”. Fuzzy Information and Engineering, 8(3), pp 281-294, 2016.
- I. Montes, N. R. Pal., V. Jani? and S. Montes. “Divergence measures for intuitionistic fuzzy sets”. IEEE Transactions on Fuzzy Systems, 23(2), pp. 444-456, 2015.
- P. Muthukumar and G. S. S. Krishnan. “A similarity measure of intuitionistic fuzzy soft sets and its application in medical diagnosis”. Applied Soft Computing, 41, pp 148-156, 2016.
- H. Nguyen. “A novel similarity/dissimilarity measure for intuitionistic fuzzy sets and its application in pattern recognition”. Expert Systems with Applications, 45, pp 97-107, 2016.
- H. D. Nguyen, S. H. Le, and T.H. Pham. “Some Improvements of Fuzzy Clustering Algorithms Using Picture Fuzzy Sets and Applications For Geographic Data Clustering”. VNU Journal of Science: Computer Science and Communication Engineering, 32(3), 2016.
- X.T. Nguyen, L.H. Son, B. C. Cuong, “Mumtaz Ali, Luong Hong Lan, Fuzzy equivalence on standard and rough neutrosophic sets and applications to clustering analysis”, Proceeding of the 2017 4th International Conference on Information System Design and Intelligent Applications (INDIA-2017), 15-17 June 2017, Danang, Vietnam, Springer (In press).
- L. H. Son. “A Novel Kernel Fuzzy Clustering Algorithm for Geo-Demographic Analysis”. Information Sciences 317, pp 202 – 223, 2015.
- L. H. Son (2016), Generalized Picture Distance Measure and Applications to Picture Fuzzy Clustering. Applied Soft Computing 46, pp 284–295, 2016.
- L. H. Son, P. V. Viet, and P.V Hai. “Picture Inference System: A New Fuzzy Inference System on Picture Fuzzy Set”. Applied Intelligence, 2017. DOI: 10.1007/s10489-016-0856-1.
- N. Van Dinh, N. X. Thao and N.M. Chau. “On the picture fuzzy database: theories and application”, J. Sci, 13(6), 1028-1035, 2015.
- Z. S. Xu. “Models for multiple attribute decision making with intuitionistic fuzzy information”. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 15(03), 285-297, 2007.