×

Semantic measure of fuzzy data in extended possibility-based fuzzy relational databases. (English) Zbl 0957.68038

Summary: We propose notions of equivalence and inclusion of fuzzy data in relational databases for measuring their semantic relationship. The fuzziness of data appears in attribute values in forms of possibility distribution as well as resemblance relations in attribute domain elements. An approach for evaluating semantic measures is presented. With the proposal, one can remove fuzzy data redundancy and define fuzzy functional dependency.

MSC:

68P15 Database theory
Full Text: DOI

References:

[1] Prade, Inform Sci 34 pp 115– (1984) · Zbl 0552.68082 · doi:10.1016/0020-0255(84)90020-3
[2] Buckles, Fuzzy Sets Syst 7 pp 213– (1982) · Zbl 0475.68059 · doi:10.1016/0165-0114(82)90052-5
[3] Raju, ACM Trans Database Syst 13 pp 129– (1988) · doi:10.1145/42338.42344
[4] Shenoi, Fuzzy Sets Syst 31 pp 285– (1989) · Zbl 0677.68113 · doi:10.1016/0165-0114(89)90201-7
[5] Rundensteiner, Int J Approx Reason 3 pp 267– (1989) · Zbl 0676.68077 · doi:10.1016/0888-613X(89)90019-4
[6] Design and implementation of a model for the presentation and manipulation of uncertainty and imprecision in databases and expert systems. Ph.D. thesis (in Dutch). Belgium: University of Gent; 1988.
[7] Fuzzy sets and approximate reasoning. Lecture notes for the course (special topics in computer sciences). Lincoln, NB: University of Nebraska; 1988.
[8] Ma, Inform Proces Lett 72 pp 25– (1999) · Zbl 1338.68060 · doi:10.1016/S0020-0190(99)00124-6
[9] Chen, J Am Soc Inform Sci 43 pp 304– (1992) · doi:10.1002/(SICI)1097-4571(199205)43:4<304::AID-ASI6>3.0.CO;2-X
[10] On the comparison of imprecise values in fuzzy databases. Proceedings of the 97 IEEE Conference on Fuzzy Systems. Vol. 2; 1997. pp 707-712.
[11] Zadeh, Inform Control 8 pp 338– (1965) · Zbl 0139.24606 · doi:10.1016/S0019-9958(65)90241-X
[12] Zadeh, Fuzzy Sets Syst 1 pp 3– (1978) · Zbl 0377.04002 · doi:10.1016/0165-0114(78)90029-5
[13] Cubero, J Intell Syst 9 pp 441– (1994) · doi:10.1002/int.4550090504
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.