Minimal Templates and Knowledge Discovery
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In this paper the dependences between the Dempster-Shafer theory and rough set theory have been used to find a minimal template in a given decision table. The Dempster-Shafer theory [5] is called a mathematical theory of evidence. This theory is based on belief functions and plausible reasoning is used to combine separate pieces of information (evidence) to calculate the probability of an event. Rough set theory was proposed by Pawlak in 1982 [3] as a mathematical tool for describing the uncertain knowledge. In 1987 [1] and 1991 [6] the basic functions of the evidence theory were defined, based on the notation from rough set theory. These definitions allow finding interesting dependences in decision tables.
[1] Glenn Shafer,et al. A Mathematical Theory of Evidence , 2020, A Mathematical Theory of Evidence.
[2] Jerzy W. Grzymala-Busse,et al. Rough Sets , 1995, Commun. ACM.
[3] Z. Pawlak. Rough Sets: Theoretical Aspects of Reasoning about Data , 1991 .