Uneingeschränkter Zugang

Dissimilarity measure between intuitionistic Fuzzy sets and its applications in pattern recognition and clustering analysis

 und    | 09. Juni 2023

Zitieren

Atanassov, K.T. 1986. Intuitionistic fuzzy sets, Fuzzy Sets Syst, 20: 87-96. Search in Google Scholar

Bajaj, P. K., Hooda, D. S. 2010. Generalized measures of fuzzy directed-divergence, total ambiguity and information improvement. J Appl Math Stat Inf (JAMSI), 6: 31–44. Search in Google Scholar

Bhatia, P. K., Singh, S. 2013. On some divergence measures between fuzzy sets and aggregation operations. AMO Adv Model Optim, 15: 235–248. Search in Google Scholar

Boran, F. E., Akay, D. 2014. A biparametric similarity measure on intuitionistic fuzzy sets with applications to pattern recognition. Inf Sci, 255: 45-57. Search in Google Scholar

Burillo, P., Bustince, H. 1996. Entropy on intuitionistic fuzzy sets and on interval valued fuzzy sets. Fuzzy Sets Syst., 78: 305-316. Search in Google Scholar

Chen, S. M. 1997. Similarity measures between vague sets and between elements. IEEE Trans.Syst.Man cybern, 27(1): 153-158. Search in Google Scholar

Chen, C., Deng, X. 2020. Several new results based on the study of distance measure of intuitionistic fuzzy sets. Iranian Journal of Fuzzy Systems, 17: 147-163. Search in Google Scholar

Garg, H., Rani, D. 2021. Novel similarity measure based on the transformed right-angled triangles between intuitionistic fuzzy sets and its applications. Cognitive Computation, 13(2): 447-465. Search in Google Scholar

Grzegorzewski, P. 2004. Distances between intuitionistic fuzzy sets and/or interval-valued fuzzy sets based on the Hausdorff metric. Fuzzy sets and systems, 148(2): 319-328. Search in Google Scholar

Hatzimichalidis, A. G., Papakostas, G.A., Kabourlasos, V.G. 2012. Anovel distance measure of intuitionistic fuzzy sets and its application to pattern recognition problems. International Journal of intelligent system, 27(4): 396-409. Search in Google Scholar

Hooda, D. S. 2004. On generalized measures of fuzzy entropy. Math Slovaca, 54(3): 315–325. Search in Google Scholar

Hong, D.H., Kim, C. 1995. A note on similarity measures between vague sets. Inform. Sci., 115(2): 83-96. Search in Google Scholar

Hung, W. L., Yang, M. S. 2008. On the j-divergence of intutionistic fuzzy sets and its application to Pattern recognition. Inf. Sci., 178(6): 1641-1650. Search in Google Scholar

Li, D., Cheng, C. 2002. New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions. Pattern Recognition Letters, 23(1-3): 221-225. Search in Google Scholar

Li, F., Xu, Z. Y. 2001. Measures of similarity between vague sets. J. Software, 12(6): 922-927. Search in Google Scholar

Li, Y., Olson, D. L., Qin, Z. 2007. Similarity measures between intuitionistic fuzzy (vague) sets: A comparative analysis. Pattern Recognition Letters, 28(2): 278-285. Search in Google Scholar

Liang Z, Shi, P. 2003. Similarity measures on intutionistic fuzzy sets. Pattern Recognition Letters, 24: 2687-93. Search in Google Scholar

Montes, S., Couso, I., Gil, P., Bertoluzza, C. 2002. Divergence measure between fuzzy sets. International Journal of Approximation Reasoning, 30: 91–105. Search in Google Scholar

Mitchell, H. B., 2003. On the Dengfeng–Chuntian similarity measure and its application to pattern recognition. Pattern Recognition Letters, 24(16): 3101-3104. Search in Google Scholar

Rakhi, G., Satish, K. 2022. Intuitionistic Fuzzy similarity-based information measure in the application of pattern recognition and clustering, International Journal of fuzzy system, 24: 2493-2510. Search in Google Scholar

Rezaei, K., Rezaei, H. 2019. New distance and similarity measures for hesitant fuzzy soft sets. Iranian Journal of Fuzzy Systems, 16(6): 159-176. Search in Google Scholar

Singh, P. 2015. Correlation coefficients for picture fuzzy sets. Journal of Intelligent and Fuzzy System, 28(2): 591-604. Search in Google Scholar

Son, L. H. 2016. Generalized picture distance measure and applications to picture fuzzy clustering, Applied Soft Computing, Vol.46, No.C, 284-295. Search in Google Scholar

Szmidt, E., Kacprzyk, J., 2000. Distances between intuitionistic fuzzy sets. Fuzzy sets and systems, 114(3): 505-518. Search in Google Scholar

Thong, P. H., Son, L. H. 2016. Picture fuzzy clustering: a new computational intelligence method. Soft Computing, 20(9): 3549-3562. Search in Google Scholar

Vlachos, I. K., Sergiadis, G. D., 2007. Intuitionistic fuzzy information–applications to pattern recognition. Pattern Recognition Letters, 28(2): 197-206. Search in Google Scholar

Wang, C., Zhou, X., Tu, H., Tao, S., 2017. Some geometric aggregation operators based on picture fuzzy sets and their application in multiple attribute decision making. Ital. J. Pure Appl. Math, 37: 477-492. Search in Google Scholar

Wang, W., Xin, X., 2005. Distance measure between intuitionistic fuzzy sets. Pattern recognition letters, 26(13): 2063-2069. Search in Google Scholar

Wei, G. W. 2011. Gray relational analysis method for intuitionistic fuzzy multiple attribute decision making. Expert systems with Applications, 38(9): 11671-11677. Search in Google Scholar

Xu, Z., Chen, J., Wu, J. 2008. Clustering algorithm for intuitionistic fuzzy sets. Information sciences, 178(19): 3775-3790. Search in Google Scholar

Xuecheng, L. 1992. Entropy distance measure and similarity measure of fuzzy sets and their relations. Fuzzy Sets and System, 52: 305–318. Search in Google Scholar

Xu, Z., 2007. Intuitionistic preference relations and their application in group decision making. Information sciences, 177(11): 2363-2379. Search in Google Scholar

Yang, Y, Chiclana, F. 2012. Consistancy of 2D and 3D distances of intuitionistic fuzzy sets. Expert Syst Appl 39: 8665-8670. Search in Google Scholar

Zadeh, L. A. 1965. Fuzzy sets. Inform Control., 8(3): 338-353. Search in Google Scholar

Zeng, S., Ashraf, S., Arif, M., Abdullah, S. 2019. Application of exponential Jensen picture fuzzy divergence measure in multi-criteria group decision-making. Mathematics, 7(2): 191. https://doi.org/10.3390/math7020191. Search in Google Scholar

Zhang, H., Yu, L. 2013. New distance measures between the intutionistic fuzzy sets and interval-valued fuzzy sets. Inf Sci, 245: 181-196. Search in Google Scholar

eISSN:
1339-0015
Sprache:
Englisch
Zeitrahmen der Veröffentlichung:
2 Hefte pro Jahr
Fachgebiete der Zeitschrift:
Informatik, Informationstechnik, Mathematik, Logik und Mengentheorie, Wahrscheinlichkeitstheorie und Statistik, Angewandte Mathematik