Information-theoretic measures of uncertainty for rough sets and rough relational databases

Information Sciences

Volumn 109, Issue 1-4, 1998, Pages 185-195

  Beaubouef, Theresa ^a   Petry, Frederick E ^b   Arora, Gurdial ^a  

^a XAVIER UNIVERSITY OF LOUISIANA   (United States)

^b Tulane University   (United States)

Author keywords

Entropy; Information theory; Relational databases; Rough sets; Uncertainty

Indexed keywords

DATA STRUCTURES; INFORMATION THEORY; MATHEMATICAL MODELS; RELATIONAL DATABASE SYSTEMS;

ROUGH SET THEORY;

SET THEORY;

EID: 0032137218     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-0255(98)00019-X     Document Type: Article

References (14)

1. [1] C.L. Shannon, The mathematical theory of communication, Bell System Technical Journal 27 (1948).
2. [2] B. Buckles, F. Petry, Information-theoretical characterization of fuzzy relational databases, IEEE Trans. Systems Man Cybernet. SMC-13 (1) (1983) 74-77.
3. [3] K.T. Fung, C.M. Lam, The database entropy concept and its application to the data allocation problem, INFOR 18 (4) (1980) 354-363.
4. [4] J.R. Quinlan, Induction of decision trees, Machine Learning 1 (1986) 81-106.
5. [5] A. de Luca, S. Termini, A definition of a nonprobabilistic entropy in the setting of fuzzy set theory, Information and Control 20 (1972) 301-312.
6. [6] G.J. Klir, T.A. Folger, Fuzzy Sets, Uncertainty, and Information, Englewood Cliffs, 1988.
7. [7] T. Beaubouef, F. Petry, B. Buckles, Extension of the relational database and its algebra with rough set techniques, Computational Intelligence 11 (2) (1995) 233-245.
8. [8] J. Grzymala-Busse, Managing Uncertainty in Expert Systems, Kluwer Academic Publishers, Boston, 1991.
9. [9] Z. Pawlak, Rough Sets: Theoretical Aspects of Reasoning About Data, Kluwer Academic Publishers, Norwell, MA, 1991.
10. [10] R. Slowinski, A generalization of the indiscernibility relation for rough sets analysis of quantitative information, First International Workshop on Rough Sets: State of the Art and Perspectives, Poland, September 1992.
11. [11] E. Codd, A relational model of data for large shared data banks, Communications of the ACM 13 (1970) 377-387.
12. [12] J.M. Morrissey, Imprecise information and uncertainty in information systems. ACM Trans. on Information Systems 8 (2) (1990) 159-180.
13. [13] B. Buckles, F. Petry, Security and fuzzy databases, Proceedings of the 1982 IEEE International Conference on Cybernetics and Society, 1982, pp. 622-625.
14. [14] T. Beaubouef, F. Petry, Fuzzy set quantification of roughness in a rough relational database model, IEEE International Conference on Fuzzy Systems, Orlando, Florida, 1994, pp. 172-177.