Belief and plausibility measures for D numbers
Xinyang Deng
TL;DR
This paper introduces belief and plausibility measures for D numbers, extending Dempster-Shafer theory to better handle uncertain information with non-exclusiveness and incompleteness.
Contribution
It defines and analyzes belief and plausibility measures specifically for D numbers, clarifying foundational concepts in D number theory.
Findings
Proposed belief and plausibility measures for D numbers.
Revealed basic properties of these measures.
Enhanced understanding of D number theory's foundational concepts.
Abstract
As a generalization of Dempster-Shafer theory, D number theory provides a framework to deal with uncertain information with non-exclusiveness and incompleteness. However, some basic concepts in D number theory are not well defined. In this note, the belief and plausibility measures for D numbers have been proposed, and basic properties of these measures have been revealed as well.
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Taxonomy
TopicsMulti-Criteria Decision Making · Bayesian Modeling and Causal Inference