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SOME SIMILARITY MEASURES FOR PICTURE FUZZY SETS AND THEIR APPLICATIONS | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 5، دوره 15، شماره 1، بهار 2018، صفحه 77-89 اصل مقاله (379.51 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2018.3579 | ||
نویسنده | ||
Guiwu Wei ![]() ![]() | ||
School of Business, Sichuan Normal University, Chengdu, 610101, P.R. China | ||
چکیده | ||
In this work, we shall present some novel process to measure the similarity between picture fuzzy sets. Firstly, we adopt the concept of intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy sets and picture fuzzy sets. Secondly, we develop some similarity measures between picture fuzzy sets, such as, cosine similarity measure, weighted cosine similarity measure, set-theoretic similarity measure, weighted set-theoretic cosine similarity measure, grey similarity measure and weighted grey similarity measure. Then, we apply these similarity measures between picture fuzzy sets to building material recognition and minerals field recognition. Finally, two illustrative examples are given to demonstrate the efficiency of the similarity measures for building material recognition and minerals field recognition. | ||
کلیدواژهها | ||
Picture fuzzy set؛ Cosine similarity measure؛ Set-theoretic similarity measure؛ Grey similarity measure؛ Building material recognition؛ Minerals field recognition | ||
مراجع | ||
[1] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986), 87-96. [2] K. Atanassov, More on intuitionistic fuzzy sets, Fuzzy Sets and Systems, 33 (1989), 37-46. [3] K. Atanassov and G. Gargov, Interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Sys- tems, 31 (1989), 343-349. [4] K. Atanassov, Operators over interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Sys- tems, 64(2) (1994), 159-174. [5] A. Bhattacharya, On a measure of divergence of two multinomial populations, Sankhya, 7 (1946), 401-406. [6] H. Bustince, and P. Burillo, Correlation of interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 74(2) (1995), 237-244. [7] S. M. Chen, S. H. Cheng and C. H. Chiou, Fuzzy multiattribute group decision making based on intuitionistic fuzzy sets and evidential reasoning methodology, Information Fusion, 27 (2016), 215-227. [8] T. Y. Chen,The inclusion-based TOPSIS method with interval-valued intuitionistic fuzzy sets for multiple criteria group decision making, Applied Soft Computing, 26 (2015), 57-73. [9] T. Y. Chen, An interval-valued intuitionistic fuzzy permutation method with likelihood-based preference functions and its application to multiple criteria decision analysis, Applied Soft Computing, 42 (2016), 390-409. [10] B. Cuong, Picture fuzzy sets-first results. part 1, In: Seminar "Neuro-Fuzzy Systems with Applications", Institute of Mathematics, Hanoi, 2013. [11] X. P. Jiang and G. W. Wei, Some Bonferroni mean operators with 2-tuple linguistic infor- mation and their application to multiple attribute decision making, Journal of Intelligent and Fuzzy Systems, 27 (2014), 2153-2162. [12] D. F. Li and C. Cheng, New similarity measures of intuitionistic fuzzy sets and application to pattern recognition, Pattern Recognition Letters, 23 (1-3) (2002), 221-225. [13] D. F. Li, TOPSIS-Based nonlinear-programming methodology for multiattribute decision making with interval-valued intuitionistic fuzzy sets, IEEE Transactions on Fuzzy Systems, 18 (2010), 299-311. [14] D. F. Li and H. P. Ren, Multi-attribute decision making method considering the amount and reliability of intuitionistic fuzzy information, Journal of Intelligent and Fuzzy Systems, 28(4) (2015), 1877-1883. [15] R. Lin, G. W. Wei, H. J. Wang and X. F. Zhao, Choquet integrals of weighted triangular fuzzy linguistic information and their applications to multiple attribute decision making, Journal of Business Economics and Management, 15(5)(2014), 795-809. [16] R. Lin, X. F. Zhao, H. J.Wang and G. W.Wei, Hesitant fuzzy linguistic aggregation operators and their application to multiple attribute decision making, Journal of Intelligent and Fuzzy Systems, 27 (2014), 49-63. [17] R. Lin, X. F. Zhao and G. W. Wei, Models for selecting an ERP system with hesitant fuzzy linguistic information, Journal of Intelligent and Fuzzy Systems, 26(5) (2014), 2155-2165. [18] M. Lu and G. W. Wei, Models for multiple attribute decision making with dual hesitant fuzzy uncertain linguistic information, International Journal of Knowledge-based and Intelligent Engineering Systems, 20(4) (2016), 217-227. [19] L. D. Miguel, H. Bustince, J. Fernndez, E. Indurin, A. Kolesrov and R. Mesiar, Construction of admissible linear orders for interval-valued Atanassov intuitionistic fuzzy sets with an application to decision making, Information Fusion, 27 (2016), 189-197. [20] G. Salton and M. J. McGill, Introduction to Modern Information Retrieval, McGraw-Hill Book Company, New York, 1983. [21] P. Singh, Correlation coefficients for picture fuzzy sets, Journal of Intelligent & Fuzzy Sys- tems, 27 (2014), 2857-2868. [22] L. Son, DPFCM: A novel distributed picture fuzzy clustering method on picture fuzzy sets, Expert System with Applications, 2 (2015), 51-66. [23] Y. Tang, L. L. Wen and G. W. Wei, Approaches to multiple attribute group decision making based on the generalized Dice similarity measures with intuitionistic fuzzy information, In- ternational Journal of Knowledge-based and Intelligent Engineering Systems, 21(2) (2017), 85-95. [24] P. H. Thong and L. H. Son, A new approach to multi-variables fuzzy forecasting using picture fuzzy clustering and picture fuzzy rules interpolation method, in: 6th International Conference on Knowledge and Systems Engineering, Hanoi, Vietnam, (2015), 679-690. [25] N. T. Thong, HIFCF: An effective hybrid model between picture fuzzy clustering and intu- itionistic fuzzy recommender systems for medical diagnosis expert systems with applications, Expert Systems with Applications, 42(7) (2015), 3682-3701. [26] H. J. Wang, X. F. Zhao and G. W. Wei, Dual Hesitant Fuzzy Aggregation Operators in Multiple Attribute Decision Making, Journal of Intelligent and Fuzzy Systems, 26(5) (2014), 2281-2290. [27] G. W. Wei, Some geometric aggregation functions and their application to dynamic multiple attribute decision making in intuitionistic fuzzy setting, International Journal of Uncertainty, Fuzziness and Knowledge- Based Systems, 17(2) (2009), 179-196. [28] G. W. Wei, Some induced geometric aggregation operators with intuitionistic fuzzy informa- tion and their application to group decision making, Applied Soft Computing, 10(2) (2010), 423-431. [29] G. W. Wei, GRA method for multiple attribute decision making with incomplete weight information in intuitionistic fuzzy setting, Knowledge-based Systems, 23(3) (2010), 243-247. [30] G. W.Wei, Gray relational analysis method for intuitionistic fuzzy multiple attribute decision making, Expert Systems with Applications, 38 (2011), 11671-11677. [31] G. W. Wei and X. F. Zhao, Some induced correlated aggregating operators with intuitionistic fuzzy information and their application to multiple attribute group decision making, Expert Systems with Applications, 39 (2) (2012), 2026-2034. [32] G. W. Wei, H. J. Wang and R. Lin, Application of correlation coefficient to interval-valued intuitionistic fuzzy multiple attribute decision making with incomplete weight information, Knowledge and Information Systems, 26(2) (2011), 337-349. [33] G. W. Wei, Approaches to interval intuitionistic trapezoidal fuzzy multiple attribute decision making with incomplete weight information, International Journal of Fuzzy Systems, 17(3) (2015), 484-489. [34] G. W. Wei, Interval valued hesitant fuzzy uncertain linguistic aggregation operators in mul- tiple attribute decision making, International Journal of Machine Learning and Cybernetics, 7(6) (2016), 1093-1114. [35] G. W. Wei, Picture fuzzy cross-entropy for multiple attribute decision making problems, Journal of Business Economics and Management, 17(4) (2016), 491-502. [36] G. W. Wei, Picture 2-tuple linguistic Bonferroni mean operators and their application to multiple attribute decision making, International Journal of Fuzzy System, 19(4) (2017), 997-1010. [37] G. W. Wei, F. E. Alsaadi, T. Hayat and A. Alsaedi, Hesitant fuzzy linguistic arithmetic ag- gregation operators in multiple attribute decision making, Iranian Journal of Fuzzy Systems, 13(4) (2016), 1-16. [38] G. W. Wei, F. E. Alsaadi, T. Hayat and A. Alsaedi, A linear assignment method for multi- ple criteria decision analysis with hesitant fuzzy sets based on fuzzy measure, International Journal of Fuzzy Systems, 19(3) (2017), 607-614. [39] G. W. Wei, F. E. Alsaadi, T. Hayat and A. Alsaedi, Projection models for multiple attribute decision making with picture fuzzy information, International Journal of Machine Learning and Cybernetics, DOI: 10.1007/s13042-016-0604-1, 2016. [40] G. W. Wei, F. E. Alsaadi, T. Hayat and A. Alsaedi, Picture 2-tuple linguistic aggregation operators in multiple attribute decision making, Soft Computing, 22(3) (2018), 989-1002. [41] G. W. Wei, R. Lin, X. F. Zhao and H. J. Wang, An approach to multiple attribute deci- sion making based on the induced Choquet integral with fuzzy number intuitionistic fuzzy information, Journal of Business Economics and Management, 15(2) (2014), 277-298. [42] G. W. Wei, R. Lin and H. J. Wang, Distance and similarity measures for hesitant interval- valued fuzzy sets, Journal of Intelligent and Fuzzy Systems, 27(1) (2014), 19-36. [43] G. W. Wei, X. R. Xu and D. X. Deng, Interval-valued dual hesitant fuzzy linguistic geo- metric aggregation operators in multiple attribute decision making, International Journal of Knowledge-based and Intelligent Engineering Systems, 20(4) (2016), 189-196 [44] G. W. Wei, H. J. Wang, X. F. Zhao and R. Lin, Hesitant triangular fuzzy information aggregation in multiple attribute decision making, Journal of Intelligent and Fuzzy Systems, 26(3) (2014), 1201-1209. [45] G. W. Wei and X. F. Zhao, Some induced correlated aggregating operators with intuitionistic fuzzy information and their application to multiple attribute group decision making, Expert Systems with Applications, 39(2) (2012), 2026-2034. [46] Z. S. Xu, Intuitionistic fuzzy aggregation operators, IEEE Transations on Fuzzy Systems, 15(6) (2007), 1179-1187. [47] Z. S. Xu, On correlation measures of intuitionistic fuzzy sets, Lecture Notes in Computer Science, 4224 (2006), 16-24. [48] Z. S. Xu and R. R. Yager, Some geometric aggregation operators based on intuitionistic fuzzy sets, International Journal of General System, 35 (2006), 417-433. [49] Z. S. Xu and X. Q. Cai, Intuitionistic Fuzzy Information Aggregation: Theory and Applica- tions, Science Press, 2008. [50] Z. S. Xu and J. Chen, An overview of distance and similarity measures of intuitionistic fuzzy sets, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 16(4) (2008), 529-555. [51] J. Ye, Cosine similarity measures for intuitionistic fuzzy sets and their applications, Math- ematical and Computer Modelling, 53(1) (2011), 91-97. [52] L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338-356. [53] X. F. Zhao, Q. X. Li and G. W. Wei, Some prioritized aggregating operators with linguistic information and their application to multiple attribute group decision making, Journal of Intelligent and Fuzzy Systems, 26(4) (2014), 1619-1630. [54] X. F. Zhao, R. Lin and G. W. Wei, Hesitant triangular fuzzy information aggregation based on einstein operations and their application to multiple attribute decision making, Expert Systems with Applications, 41(4) (2014), 1086-1094. [55] X. F. Zhao and G. W. Wei, Some intuitionistic fuzzy einstein hybrid aggregation operators and their application to multiple attribute decision making, Knowledge-Based Systems, 37 (2013), 472-479. [56] L. Y. Zhou, R. Lin, X. F. Zhao and G. W. Wei, Uncertain linguistic prioritized aggregation operators and their application to multiple attribute group decision making, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 21(4) (2013), 603-627. [57] B. Zhu, Z. S. Xu and M. M. Xia, Hesitant fuzzy geometric Bonferroni means, Information Sciences, 205(1) (2012), 72-85. | ||
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