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Measuring uncertainty in rough set theory. (English) Zbl 0938.93034

This note presents a well justified measure of uncertainty for rough set theory, along with an axiomatic derivation. The connection between this measure and classical measures of uncertainty is also provided.

MSC:

93C41 Control/observation systems with incomplete information
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[1] DOI: 10.1214/aoms/1177698950 · Zbl 0168.17501
[2] Dempster A. P., Biometrika 54 pp 515– (1967)
[3] Hartley R.V.L., The Ball Systems Technical Journal 7 pp 535–
[4] Klir G.J., Uncertainty Based Information (1998) · Zbl 0902.68061
[5] Pawluk Z., Rough Set Theory Theoretical Aspects of Reasoning About Data (1991)
[6] Shafer G., A Mathematical Theory of Evidence (1976) · Zbl 0326.62009
[7] Shannon C.E., The Bell System Technical Journal 27 pp 379– (1948) · Zbl 1154.94303
[8] Shannon C.E., The Mathematical Theory of Communication (1949)
[9] Sugeno M., Theory of Fuzzy Integrals and its Applications (1974)
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