Author:
Sun Linge,Song Yafei,Lei Lei
Abstract
Abstract
This paper addresses the proof process of the positive definiteness property for the Jaccard index matrix, which is applied to define a metric distance measure between belief functions. Our proof is implemented in the framework of fuzzy sets. Based on the decomposition theorem of Jaccard index matrix proposed by M. Bouchard et al, and the transformation between crisp sets and fuzzy sets, the positive definiteness of the Jaccard index matrix can be proved in a concise way.
Subject
General Physics and Astronomy
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