Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
skip to main content
research-article

Rule acquisition and optimal scale selection in multi-scale formal decision contexts and their applications to smart city

Published: 01 June 2018 Publication History
  • Get Citation Alerts
  • Abstract

    In order to enrich the existing rule acquisition theory in formal decision contexts, this study puts forward three new types of rules: decision association rules, non-redundant decision association rules and simplest decision association rules. Then, we analyze the relationship among these three types of rules, and develop methods to acquire them from single-scale formal decision contexts. Some numerical experiments are also conducted to compare the performance of the method of acquiring the simplest decision association rules with that of the existing one of acquiring the non-redundant decision rules. Moreover, the new three types of rules are employed to introduce three types of consistencies in multi-scale formal decision contexts. In addition, the notion of an optimal scale is defined by each type of consistency, and how to select an optimal scale is investigated as well. Finally, two applications in smart city for the proposed rule acquisition and optimal scale selection methods are applied to smart city. Three new types of rules and their extraction methods are explored.Three new types of consistencies and their relationships are investigated.Three new types of optimal scales and their relationships are discussed.A method of optical scale selection is put forward.The applications of the proposed methods to real world problems are given.

    References

    [1]
    R. Wille, Restructuring lattice theory: an approach based on hierarchies of concepts, in: Ordered Sets, Reidel, Dordrecht-Boston, 1982, pp. 445-470.
    [2]
    B. Ganter, R. Wille, Formal Concept Analysis: Mathematical Foundations, Springer, New York, 1999.
    [3]
    R. Belohlvek, V. Sklen, J. Zackpal, Crisply generated fuzzy concepts, in: Proceedings of Formal Concept Analysis, Springer Berlin, Heidelberg, 2005, pp. 269-284.
    [4]
    A. Burusco, R. Fuentes Gonzalez, The study of the L-fuzzy concept lattice, Matheware Soft Comput., 1 (1994) 209-218.
    [5]
    A. Burusco, R. Fuentes Gonzalez, The study of the interval-valued contexts, Fuzzy Sets and Systems, 121 (2001) 439-452.
    [6]
    P.K. Singh, C. Aswani Kumar, Bipolar fuzzy graph representation of concept lattice, Inform. Sci., 288 (2014) 437-448.
    [7]
    P.K. Singh, Processing linked formal fuzzy context using non-commutative composition, Inst. Integr. Omics Appl. Biotechnol., 7 (2016) 21-32.
    [8]
    D. Dubois, H. Prade, Possibility theory and formal concept analysis: Characterizing independent sub-contexts, Fuzzy Sets and Systems, 196 (2012) 4-16.
    [9]
    L.D. Wang, X.D. Liu, Concept analysis via rough set and AFS algebra, Inform. Sci., 178 (2008) 4125-4137.
    [10]
    Y.Y. Yao, A comparative study of formal concept analysis and rough set theory in data analysis, in: Proceedings of 4th International Conference on Rough Sets and Current Trends in Computing, RSCTC 2004, Uppsala, Sweden, 2004, pp. 5968.
    [11]
    Y.Q. Yao, J.S. Mi, Z.J. Li, B. Xie, The construction of fuzzy concept lattices based on (,)-fuzzy rough approximation operators, Fund. Inform., 111 (2011) 33-45.
    [12]
    Y.Y. Yao, Three-way decisions with probabilistic rough sets, Inform. Sci., 180 (2010) 341-353.
    [13]
    M. Krupka, J. Lastovicka, Concept lattices of incomplete data, in: International Conference on Formal Concept Analysis, 2012, pp. 180194.
    [14]
    M.Z. Li, G.Y. Wang, Approximate concept construction with three-way decisions and attribute reduction in incomplete contexts, Knowl. Based Syst., 91 (2016) 165-178.
    [15]
    J.H. Li, C.L. Mei, Y. Lv, Incomplete decision contexts: Approximate concept construction, rule acquisition and knowledge reduction, Internat. J. Approx. Reason., 54 (2013) 149-165.
    [16]
    K. Simiski, Neuro-rough-fuzzy approach for regression modelling from missing data, Int. J. Appl. Math. Comput. Sci., 22 (2012) 461-476.
    [17]
    R. Belohlvek, B. De Baets, J. Konecny, Granularity of attributes in formal concept analysis, Inform. Sci., 260 (2014) 149-170.
    [18]
    W.Z. Wu, Y. Leung, J.S. Mi, Granular computing and knowledge reduction in formal contexts, IEEE Trans. Knowl. Data Eng., 21 (2009) 1461-1474.
    [19]
    W.Z. Wu, Y. Leung, Theory and applications of granular labeled partitions in multi-scale decision tables, Inform. Sci., 181 (2011) 3878-3897.
    [20]
    W.H. Xu, W.T. Li, Granular computing approach to two-way learning based on formal concept analysis in fuzzy datasets, IEEE Trans. Cybern., 46 (2014) 1-14.
    [21]
    Q.H. Zhang, Y.K. Xing, Formal concept analysis based on granular computing, J. Comput. System Sci., 6 (2010) 2287-2296.
    [22]
    C. Hao, M. Fan, J. Li, Optimal scale selecting in multi-scale contexts based on granular scale rules, Pattern Recognit. Artif. Intell., 29 (2016) 272-280.
    [23]
    L. Ma, J.S. Mi, B. Xie, Multi-scaled concept lattices based on neighborhood systems, Int. J. Mach. Learn. Cybern. (2016).
    [24]
    Y.Q. Tang, M. Fan, J.H. Li, An information fusion technology for triadic decision contexts, Int. J. Mach. Learn. Cybern., 7 (2016) 13-24.
    [25]
    M.W. Shao, Y. Leung, Relations between granular reduct and dominance reduct in formal contexts, Knowl.-Based Syst., 65 (2014) 1-11.
    [26]
    L. Wei, J.J. Qi, W.X. Zhang, Attribute reduction theory of concept lattice based on decision formal contexts, Sci. China: Ser. FInf. Sci., 51 (2008) 910-923.
    [27]
    J.J. Qi, L. Wei, Y.Y. Yao, Three-way formal concept analysis, in: Proceedings of 2014 International Conference on Rough Sets and Knowledge Technology, 2014, pp. 732-741.
    [28]
    J.J. Qi, T. Qian, L. Wei, The connections between three-way and classical concept lattices, Knowl.-Based Syst., 91 (2016) 143-151.
    [29]
    P.K. Singh, Three-way fuzzy concept lattice representation using neutrosophic set, Int. J. Mach. Learn. Cybern. (2016).
    [30]
    J.H. Li, W.H. Xu, Y.H. Qian, Concept learning via granular computing: a cognitive viewpoint, Inform. Sci., 298 (2015) 447-467.
    [31]
    J.H. Li, C.C. Huang, J.J. Qi, Y.H. Qian, W. Liu, Three-way cognitive concept learning via multi-granularity, Inform. Sci., 378 (2017) 244-263.
    [32]
    C. Aswani Kumar, S. Srinivas, Mining associations in health care data using formal concept analysis and singular value decomposition, J. Biol. Systems, 18 (2010) 787-807.
    [33]
    S.O. Kuznetsov, Machine learning and formal concept analysis, Lecture Notes in Comput. Sci., 2961 (2004) 287-312.
    [34]
    S.M. Dias, N.J. Vieira, Concept lattices reduction: definition, analysis and classification, Expert Syst. Appl., 42 (2015) 7084-7097.
    [35]
    J. Poelmans, D.I. Ignatov, S.O. Kuznetsov, G. Dedene, Formal concept analysis in knowledge processing: a survey on applications, Expert Syst. Appl., 40 (2013) 6538-6560.
    [36]
    L. Yang, Y. Xu, Decision making with uncertainty information based on lattice-valued fuzzy concept lattice, J. UCS, 16 (2010) 159-177.
    [37]
    J.L. Guigues, V. Duquenne, Famille minimales dimplications informatives rsultant dun tableau de donnes binaries, Math. Sci. Humaines, 95 (1986) 5-18.
    [38]
    M. Luxenburger, Implications partielles dans un contexte, Math. Inf. Sci. Humaines, 113 (1991) 35-55.
    [39]
    N. Pasquier, Y. Bastide, R. Taouil, L. Lakhal, Efficient mining of association rules using closed itemset lattices, Inf. Syst., 24 (1999) 25-46.
    [40]
    C. Aswani Kumar, Fuzzy clustering-based formal concept analysis for association rules mining, Appl. Artif. Intell., 26 (2012) 274-301.
    [41]
    K.S. Qu, Y. Zhai, Generating complete set of implications for formal contexts, Knowl.-Based Syst., 21 (2008) 429-433.
    [42]
    M.J. Zaki, Mining non-redundant association rules, Data Min. Knowl. Discov., 9 (2004) 223-248.
    [43]
    Y.H. Zhai, D.Y. Li, K.S. Qu, Fuzzy decision implications, Knowl.-Based Syst., 37 (2013) 230-236.
    [44]
    W.X. Zhang, G.F. Qiu, Uncertain Decision Making Based on Rough Sets, Tsinghua University Press, Beijing, 2005.
    [45]
    M.W. Shao, Y. Leung, W.Z. Wu, Rule acquisition and complexity reduction in formal decision contexts, Internat. J. Approx. Reason., 55 (2014) 259-274.
    [46]
    L. Wei, T. Li, Rules acquisition in consistent formal decision contexts, in: Proceedings of the 11th International Conference on Machine Learning and Cybernetics, ICMLC12, Xian, China, 2012, pp. 801805.
    [47]
    J.H. Li, C.L. Mei, Y. Lv, Knowledge reduction in decision formal contexts, Knowl.-Based Syst., 24 (2011) 709-715.
    [48]
    J.H. Li, C.L. Mei, Ch. Aswani Kumar, X. Zhang, On rule acquisition in decision formal contexts, Int. J. Mach. Learn. Cybern., 4 (2013) 721-731.
    [49]
    J.H. Li, C.L. Mei, Y. Lv, Knowledge reduction in real decision formal contexts, Inform. Sci., 189 (2012) 191-207.
    [50]
    H.Z. Yang, Y. Leung, M.W. Shao, Rule acquisition and attribute reduction in real decision formal contexts, Soft Comput., 15 (2011) 1115-1128.
    [51]
    K.S. Qu, Y.H. Zhai, J.Y. Liang, M. Chen, Study of decision implications based on formal concept analysis, Int. J. Gen. Syst., 36 (2007) 147-156.
    [52]
    Y.H. Zhai, D.Y. Li, K.S. Qu, Decision implications: a logical point of view, Int. J. Mach. Learn. Cybern., 5 (2014) 509-516.
    [53]
    Y.H. Zhai, D.Y. Li, K.S. Qu, Decision implication canonical basis: a logical perspective, J. Comput. System Sci., 81 (2015) 208-218.
    [54]
    Y. Ren, J. Li, Ch. Aswani Kumar, W. Liu, Rule acquisition in formal decision contexts based on formal, object-oriented and property-oriented concept lattices, Sci. World J., 2014 (2014) 1-10.
    [55]
    R. Agrawal, R. Srikant, Fast algorithms for mining association rules, in: Proceedings of Very Large Data Bases, VLDB94, Santiago, Chile, 1994, pp. 487499.
    [56]
    V. Nebot, R. Berlanga, Finding association rules in semantic web data, Knowl.-Based Syst., 25 (2012) 51-62.
    [57]
    W. Zhang, T. Yoshida, X. Tang, Q. Wang, Text clustering using frequent itemsets, Knowl.-Based Syst., 23 (2010) 379-388.
    [58]
    Y. Leung, J.S. Zhang, Z.B. Xu, Clustering by scale-space filtering, IEEE Trans. Pattern Anal. Mach. Intell., 22 (2000) 1396-1410.
    [59]
    W.Z. Wu, Y. Leung, Optimal scale selection for multi-scale decision tables, Internat. J. Approx. Reason., 54 (2013) 1107-1129.
    [60]
    N. Komninos, Intelligent cities: variable geometries of spatial intelligence, Intell. Build. Int., 3 (2011) 172-188.
    [61]
    K. Kourtit, P. Nijkamp, D. Arribas, Smart cities in perspectivea comparative European study by means of self-organizing maps, Innov.: Eur. J. Soc. Sci. Res., 25 (2012) 229-246.
    [62]
    G.C. Lazaroiu, M. Roscia, Definition methodology for the smart cities model, Energy, 47 (2012) 326-332.
    [63]
    P. Lombardi, S. Giordano, H. Farouh, W. Yousef, Modelling the smart city performance, Innov.: Eur. J. Soc. Sci. Res., 25 (2012) 137-149.
    [64]
    T. Nam, T.A. Pardo, Conceptualizing smart city with dimensions of technology, people, and institutions, in: Proceedings of 12th Conference on Digital Government Research, College Park, MD, 2011, pp. 282291.
    [65]
    M. Thite, Smart cities: implications of urban planning for human resource development, Hum. Resour. Dev. Int., 14 (2011) 623-631.
    [66]
    M. Thuzar, Urbanization in SouthEast Asia: developing smart cities for the future, Reg. Outlook, 183 (2011) 96-100.
    [67]
    S. Zygiaris, Smart city reference model: assisting planners to conceptualize the building of smart city innovation ecosystems, J. Knowl. Econ., 4 (2013) 217-231.
    [68]
    P. Neirotti, A.D. Marco, A.C. Cagliano, G. Mangano, F. Scorrano, Current trends in smart city initiatives: some stylised facts, Cities, 38 (2014) 25-36.
    [69]
    J.P. Bordat, Calcul partique du treillis de Galois dune correspondance, Math. Sci. Humaines, 96 (1986) 31-47.
    [70]
    A. Frank, A.A. Asuncion, UCI Machine Learning Repository, University of California, School of Information and Computer Science, Irvine, Calif, USA, 2010. http://archive.ics.uci.edu/ml
    [71]
    Z. Khan, Z. Pervez, A. Ghafoor, Towards cloud based smart cities data security and privacy management, in: International Conference on Utility and Cloud Computing, IEEE Computer Society, 2014, pp. 806-811.
    [72]
    L. Zhang, Z.Y. Bai, S.S. Luo, G.N. Cui, M.H. Sun, Integrated intrusion detection model based on rough set and artificial immune, J. Commun., 9 (2013) 166-176.

    Cited By

    View all

    Recommendations

    Comments

    Information & Contributors

    Information

    Published In

    cover image Future Generation Computer Systems
    Future Generation Computer Systems  Volume 83, Issue C
    June 2018
    449 pages

    Publisher

    Elsevier Science Publishers B. V.

    Netherlands

    Publication History

    Published: 01 June 2018

    Author Tags

    1. Concept lattice
    2. Multi-scale formal decision context
    3. Optimal scale selection
    4. Rule acquisition

    Qualifiers

    • Research-article

    Contributors

    Other Metrics

    Bibliometrics & Citations

    Bibliometrics

    Article Metrics

    • Downloads (Last 12 months)0
    • Downloads (Last 6 weeks)0

    Other Metrics

    Citations

    Cited By

    View all
    • (2024)A three-way confirmatory approach to formal concept analysis in classificationApplied Soft Computing10.1016/j.asoc.2024.111448155:COnline publication date: 1-Apr-2024
    • (2023)Dominance-based rule acquisition of multi-scale single-valued neutrosophic decision systemJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-23284945:5(7353-7367)Online publication date: 1-Jan-2023
    • (2023)Tri-granularity attribute reduction of three-way concept latticesKnowledge-Based Systems10.1016/j.knosys.2023.110762276:COnline publication date: 27-Sep-2023
    • (2023)Update of optimal scale in dynamic multi-scale decision information systemsInternational Journal of Approximate Reasoning10.1016/j.ijar.2022.10.020152:C(310-324)Online publication date: 1-Jan-2023
    • (2023)Sequential 3WD-based local optimal scale selection in dynamic multi-scale decision information systemsInternational Journal of Approximate Reasoning10.1016/j.ijar.2022.10.017152:C(221-235)Online publication date: 1-Jan-2023
    • (2023)Multiview granular data analytics based on three-way concept analysisApplied Intelligence10.1007/s10489-022-04145-453:11(14645-14667)Online publication date: 1-Jun-2023
    • (2022)Optimal scale combination selection for inconsistent multi-scale decision tablesSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-022-07102-y26:13(6119-6129)Online publication date: 1-Jul-2022
    • (2020)Layered Concept Lattice Model and Its Application to Build Rapidly Concept LatticeComputational Intelligence and Neuroscience10.1155/2020/57842092020Online publication date: 1-Jan-2020
    • (2020)Attribute reduction of SE-ISI concept lattices for incomplete contextsSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-020-05271-224:20(15143-15158)Online publication date: 6-Sep-2020
    • (2019)Bi-closure systems and bi-closure operators on generalized residuated latticesJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-1849336:3(2631-2643)Online publication date: 1-Jan-2019

    View Options

    View options

    Get Access

    Login options

    Media

    Figures

    Other

    Tables

    Share

    Share

    Share this Publication link

    Share on social media