Abstract
Real world is pervaded of imprecision and uncertainty. These characteristics are well represented in computational systems by means of fuzzy logic. Some systems produce vital data that must be stored for its posterior analysis supporting decision making through OLAP. At present time this data may involve imprecision and uncertainty, therefore fuzzy OLAP operators must be provided. We do that in this paper in a formal way, giving a rigorous definition of fuzzy logic extended OLAP operators.
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References
Fukami, S., Umano, M., Muzimoto, M., Tanaka, H.: Fuzzy Database Retrieval and Manipulation Language IEICE Technical Reports, vol. 78, pp. 65-72. AL-78-85 (Automata and Language) (1979)
Umano Freedom-O, M.: A Fuzzy Database System. In: Gupta-Sanchez (ed.) Fuzzy Information and Decision Processes. North-Holland Pub. Comp., Amsterdam (1982)
Galindo, J., Urrutia, A., Piattini, M.: Representation of Fuzzy Knowledge in Relational Databases. In: Proceedings of the 15th International Workshop on Databases and Expert Systems Applications, DEXA 2004, pp. 917–921 (2004)
Vassiliadis, P.: Modeling Multidimensional Databases, Cubes and Cube Operations. Statistical and Scientific Database Management, 53–62 (1998)
Feng, L., Dillon, T.S.: Using Fuzzy Linguistic Representations to Provide Explanatory Semantics for Data Warehouses. IEEE Transactions on Knowledge and Data Engineering 15(1), 86–102 (2003)
Pavan Kumar, K.V.N.N., Radha Krishna, P., Kumar De, S.: Fuzzy OLAP cube for qualitative analysis. Intelligent Sensing and Information Processing, 290–295 (2005)
González, C., Mirisola, R., Tineo, L.J., Urrutia, A.: A model for fuzzy multidimensional spaces. In: Meersman, R., Tari, Z., Herrero, P. (eds.) OTM-WS 2007, Part I. LNCS, vol. 4805, pp. 21–22. Springer, Heidelberg (2007)
Bosc, P., Pivert, O.: SQLf: A Relational Database Language for Fuzzy Querying. IEEE Trans. on Fuzzy Systems 3(1) (1995)
Fukami, S., Umano, M.: Fuzzy Relational Algebra for Possibility-Distribution-Fuzzy-Relational Model of Fuzzy Data. Journal of Intelligent Information System 3, 7–27 (1994)
Galindo, J.: New Characteristics in FSQL, a Fuzzy SQL for Fuzzy Databases. WSEAS Transactions on Information Science and Applications 2 2, 161–169 (2005)
Galindo, J., Urrutia, A., Piattini, M.: Fuzzy Database Modeling, Design and Implementation. Idea Group Publishing (2006)
Kacpryzyk, J., Zadrozny, S.: Fuzzy Queries in Microsoft AccessTM v.2. In: Proceedings of Fuzzy IEEE 1995 Workshop on Fuzzy Database Systems and Information Retrieval, pp. 61–66 (1995)
Loo, G., Lee, K.: An interface to databases for flexible query answering: A fuzzy-set approach. In: Ibrahim, M., Küng, J., Revell, N. (eds.) DEXA 2000. LNCS, vol. 1873, p. 654. Springer, Heidelberg (2000)
Ma, Z.M., Yan, L.: Generalization of Strategies for Fuzzy Query Translation in Classical Relational Databases. Information and Software Technology 49(2) (February 2007)
Medina, J., Vila, M.A., Pons, O.: GEFRED: A Generalized Model of Fuzzy Relational Databases. Informatizan Sciences (1993)
Nakajima, H., Sogoh, T., Arao, M.: Fuzzy Database Language and Library-Fuzzy Extension to SQL. In: Proceedings of Second IEEE International Conference on Fuzzy Systems, pp. 477–482 (1983)
Wong, M., Leung, K.: A fuzzy Database-Query Language. Information Systems 15(5), 583–590 (1990); Zadeh, L.A.: Fuzzy sets. Information and Control 8 (1965)
Zadeh, L.A.: Fuzzy sets. Information and Control 8 (1965)
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González, C., Tineo, L., Urrutia, A. (2009). Fuzzy OLAP: A Formal Definition. In: Yu, W., Sanchez, E.N. (eds) Advances in Computational Intelligence. Advances in Intelligent and Soft Computing, vol 116. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03156-4_19
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DOI: https://doi.org/10.1007/978-3-642-03156-4_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03155-7
Online ISBN: 978-3-642-03156-4
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