Abstract
In the paper we consider the possible coexistence of associations between k < n attributes of the n-ary relationship. The analysis is carried out using the theory of functional dependencies. We assume that attribute values are represented by means of possibility distributions. According to the representation of data the notion of fuzzy functional dependency has been appropriately extended. Its level is evaluated with the use of possibility and necessity measures. The dependencies between all n attributes describe the integrity constraints of the n-ary relationship and must not be infringed. They constitute a restriction for dependencies of fewer attributes. The paper formulates the rules to which fuzzy functional dependencies between (n-1) attributes of the n-ary relationship must be subordinated.
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References
Bosc, P., Pivert, O.: Querying possibilistic databases: Three interpretations. In: Yager, R.R., Abbasov, A.M., Reformat, M., Shahbazova, S.N. (eds.) Soft Computing: State of the Art Theory. STUDFUZZ, vol. 291, pp. 161–176. Springer, Heidelberg (2013)
Bosc, P., Pivert, O., Rocacher, D.: Tolerant division queries and possibilistic database querying. Fuzzy Sets and Systems 160(15), 2120–2140 (2009)
Chen, G.: Fuzzy Logic in Data Modeling - semantics, constraints and database design. Kluwer Academic Publishers, Boston (1998)
Cuadra, D., Martinez, P., Castro, E., Al-Jumaily, H.: Guidelines for representing complex cardinality constraints in binary and ternary relationships. Software and Systems Modeling 12(4), 871–889 (2013)
De Tré, G., Zadrożny, S., Bronselaer, A.: Handling bipolarity in elementary queries to possibilistic databases. IEEE Trans. on Fuzzy Systems 18(3), 599–612 (2010)
Dullea, J., Song, I., Lamprou, I.: An analysis of structural validity in entity-relationship modeling. Data and Knowledge Engineering 47(2), 167–205 (2003)
Galindo, J., Urrutia, A., Piattini, M.: Fuzzy Databases. Modeling, Design and Implementation. Idea Group Publishing, London (2005)
Jones, T., Song, I.: Analysis of binary/ternary relationships cardinality combinations in entity-relationship modeling. Data and Knowledge Engineering 19(1), 39–64 (1996)
Miłek, M., Małysiak-Mrozek, B., Mrozek, D.: A fuzzy data warehouse: Theoretical foundations and practical aspects of usage. Studia Informatica 31(2A-89), 489–504 (2010)
Myszkorowski, K.: Fuzzy functional dependencies in multiargument relationships. In: Rutkowski, L., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2010, Part I. LNCS, vol. 6113, pp. 152–159. Springer, Heidelberg (2010)
Nakata, M.: On inference rules of dependencies in fuzzy relational data models: Functional dependencies. In: Pons, O., Vila, M., Kacprzyk, J. (eds.) Knowledge Management in Fuzzy Databases. STUDFUZZ, vol. 39, pp. 36–66. Physica-Verlag, Heidelberg (2000)
Prade, H., Testemale, C.: Generalizing database relational algebra for the treatment of incomplete or uncertain information and vague queries. Information Science 34(2), 115–143 (1984)
Ślęzak, D.: Association reducts: A framework for mining multi-attribute dependencies. In: Hacid, M.-S., Murray, N.V., Raś, Z.W., Tsumoto, S. (eds.) ISMIS 2005. LNCS (LNAI), vol. 3488, pp. 354–363. Springer, Heidelberg (2005)
Tyagi, B.K., Sharfuddin, A., Dutta, R.N., Devendra, K.T.: A complete axiomatization of fuzzy functional dependencies using fuzzy function. Fuzzy Sets and Systems 151(2), 363–379 (2005)
Vucetic, M., Hudec, M., Vujosevic, M.: A new method for computing fuzzy functional dependencies in relational database systems. Expert Systems with Applications 40, 2738–2745 (2013)
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Myszkorowski, K. (2015). Multiargument Relationships in Possibilistic Databases. In: Kozielski, S., Mrozek, D., Kasprowski, P., Małysiak-Mrozek, B., Kostrzewa, D. (eds) Beyond Databases, Architectures and Structures. BDAS 2015. Communications in Computer and Information Science, vol 521. Springer, Cham. https://doi.org/10.1007/978-3-319-18422-7_13
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DOI: https://doi.org/10.1007/978-3-319-18422-7_13
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-18421-0
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