AN UNCERTAINTY MEASURE WITH MONOTONICITY UNDER THE RANDOM SET INCLUSION
- 1 January 1993
- journal article
- research article
- Published by Taylor & Francis in International Journal of General Systems
- Vol. 21 (4) , 379-392
- https://doi.org/10.1080/03081079308945088
Abstract
In the setting of the theory of evidence, we propose a new uncertainty measure which can capture, in modeling a situation including uncertainty, two different kinds of uncertainty: one is what is measured by the Shannon entropy and another is related to cardinality. Our proposed measure is a generalization of the Shannon entropy and monotonic with respect to random set inclusion. Its properties are investigated and its potentiality is illustrated with an example.Keywords
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