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A New Multi-Step Backward Cloud Transformation Algorithm Based on Normal Cloud Model

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Języki publikacji
EN
Abstrakty
EN
The representation and processing of uncertainty information is one of the key basic issues of the intelligent information processing in the face of growing vast information, especially in the era of network. There have been many theories, such as probability statistics, evidence theory, fuzzy set, rough set, cloud model, etc., to deal with uncertainty information from different perspectives, and they have been applied into obtaining the rules and knowledge from amount of data, for example, data mining, knowledge discovery, machine learning, expert system, etc. Simply, This is a cognitive transformation process from data to knowledge (FDtoK). However, the cognitive transformation process from knowledge to data (FKtoD) is what often happens in human brain, but it is lack of research. As an effective cognition model, cloud model provides a cognitive transformation way to realize both processes of FDtoK and FKtoD via forward cloud transformation (FCT) and backward cloud transformation (BCT). In this paper, the authors introduce the FCT and BCT firstly, and make a depth analysis for the two existing single-step BCT algorithms. We find that these two BCT algorithms lack stability and sometimes are invalid. For this reason we propose a new multi-step backward cloud transformation algorithm based on sampling with replacement (MBCT-SR) which is more precise than the existing methods. Furthermore, the effectiveness and convergence of new method is analyzed in detail, and how to set the parameters m, r appeared in MBCT-SR is also analyzed. Finally, we have error analysis and comparison to demonstrate the efficiency of the proposed backward cloud transformation algorithm for some simulation experiments.
Wydawca
Rocznik
Strony
55--85
Opis fizyczny
Bibliogr. 40 poz., rys., tab., wykr.
Twórcy
autor
  • School of Information Science and Technology, Southwest Jiaotong University, Chengdu 610031, P. R. China
autor
  • Institute of Electronic Information Technology, Chongqing Institute of Green and Intelligent Technology, CAS, Chongqing 400714, P. R. China
autor
  • Chongqing Key Laboratory of Computational Intelligence, Chongqing University of Posts and Telecommunications, Chongqing 400065, P. R. China
Bibliografia
  • [1] Casella, G., Berger, R.: Statistical Inference, China Machine Press, Beijing, 2002.
  • [2] Duta, N.: Natural language understanding and prediction: from formal grammars to large scale machine learning, Fundamenta Informaticae, 131(3-4), 2014, 425–440.
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  • [4] Grabska, E., Ślusarczk, G., Gajek, S.: Knowledge representation for Human-Computer interaction in a system supporting conceptual design, Fundamenta Informaticae, 124(1-2), 2013, 99–110.
  • [5] Lawry, J., Tang, Y.: Uncertainty modelling for vague concepts: a prototype theory approach, Artificial Intelligence, 173(18), 2009, 1539–1558.
  • [6] Li, D.: The cloud control method and balancing patterns of triple link inverted pendulum systems, Engineering Science, 1(2), 1999, 41–46.
  • [7] Li, D., Du, Y.: Artificial Intelligence with Uncertainty, Chapman and Hall/CRC, London, 2007.
  • [8] Li, D., Liu, C.: Study on the universality of the normal cloud model, Engineering Science, 6(8), 2004, 28–34.
  • [9] Li, D., Liu, C., Gan, W.: A new cognitive model: cloud model, International Journal of Intelligent Systems, 24, 2009, 357–375.
  • [10] Li, D., Liu, C., Gan, W.: Proof of the heavy-tailed property of normal cloud model, Engineering Science, 13(4), 2011, 20–23.
  • [11] Li, Z., Yang, Y.: A novel intelligent controller based on uncertainty reasoning of two-dimension cloud model, Control and Decision, 20(8), 2005, 866–877.
  • [12] Liu, C., Feng, M., Dai, X., Li, D.: A new algorithm of backward cloud, Journal of System Simulation, 16(11), 2004, 2417–2420.
  • [13] Liu, C., Li, D., Du, Y.: Some statistical analysis of the normal cloud model, Information and Control, 34(2), 2005, 236–248.
  • [14] Liu, S., Dang, Y., Fang, Z., Xie, N.: Grey System Theory and Its Applications (5th Edition), Science Press, Beijing, 2010.
  • [15] Liu, Y.: Study on granular computing method based on cloud model, Doctoral dissertation, Tsinghua University, Beijing, China, 2012.
  • [16] Liu, Y., Li, D., He, W., Wang, G.: Granular Computing Based on Gaussian Cloud Transformation, Fundamenta Informaticae, 127(1-4), 2013, 385–398.
  • [17] Liu, Y., Li, D., Zhang, G., Chen, G.: Atomized feature in cloud based evolutionary algorithm, Acta Electronica Sinica, 37(8), 2009, 1651–1658.
  • [18] Liu, Y., Zhang, H., Ma, Y., Li, D., Chen, G.: Collective intelligence and uncertain knowledge representation in cloud computing, China Communications, 2011, 58–66.
  • [19] Lu, H., Wang, Y., Li, D., Liu, C.: The application of backward cloud in qualitative evaluation, Chinese Journal of Computers, 26(8), 2003, 1009–1014.
  • [20] Mendel, J.: Computing with words and its relationships with fuzziness, Information Sciences, 177(4), 2007, 988–1006.
  • [21] Mendel, J., John, R.: Type-2 fuzzy set made simple, IEEE Transactions on Fuzzy Systems, 10(2), 2002, 11–127.
  • [22] Mosleh, A., Bier, V.: Uncertainty about probability: a reconciliation with the subjectivist viewpoint, IEEE Transactions on Systems, Man and Cybernetics Part A: Systems & Humans, 26(3), 1996, 303–310.
  • [23] Nguyen, H. T.: On modeling of linguistic information using random sets, Information Sciences, 34(3), 1984, 265–274.
  • [24] Pawlak, Z.: Rough sets, International Journal of Computer and Information Sciences, 11(5), 1982, 341–356.
  • [25] Qin, K., Xu, K., Liu, F., Li, D.: Image segmentation based on histogram analysis utilizing the cloud model, Computers and Mathematics with applications, 62, 2011, 2824–2833.
  • [26] Rubin, S.: Computing with words, IEEE Transactions on Systems, Man and Cybernetics Part B: Cybernetics, 29(4), 1999, 518–524.
  • [27] Shafer, G.: A Mathematical Theory of Evidence, Princeton University Press, Princeton, 1976.
  • [28] Tang, Y.: A collective decision model involving vague concepts and linguistic expressions, IEEE Transactions on Systems, Man and Cybernetics Part B: Cybernetics, 38(2), 2008, 421–428.
  • [29] Wallerstein, I.: The Uncertainties of Knowledge, Temple University Press, Philadelphia, 2004.
  • [30] Wang, G.: Rough Set Theory and Knowledge Acquisition, Xi’an Jiao Tong University Press, Xi’an, 2001.
  • [31] Wang, G.: Rough Set Based Uncertainty Knowledge Expressing and Processing, 13th International Conference of Rough Sets, Fuzzy Sets, Data Mining and Granular Computing, Springer-Verlag Berlin Heidelberg, Moscow, Russia, June 2011.
  • [32] Wang, G., Xu, C., Zhang, Q., Wang, X.: A Multi-step Backward Cloud Generator Algorithm, 8th International Conference of Rough Sets and Current Trends in Computing, Springer-Verlag Berlin Heidelberg, Chengdu, China, August 2012.
  • [33] Wang, L.: The basic mathematical properties of normal cloud and cloud filter, Personal Communication, May 2011.
  • [34] Wang, S., Li, D., Shi, W.: Cloud model-based spatial data mining, Geographical Information Sciences, 9(2), 2003, 67–78.
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  • [36] Wu, T., Qin, K.: Image segmentation using cloud model and data field, Pattern Recognition and Artificial Intelligence, 25(3), 2012, 397–405.
  • [37] Xu, C., Wang, G.: The backward cloud transformation algorithm of realizing stability bidirectional cognitive mapping, Pattern Recognition and Artificial Intelligence, 26(7), 2013, 634–642.
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Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-17d2e587-3fe7-4e3f-8a1b-d2c8fa503c84
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