10 citations · 27 across the 19 of their papers we have counts for
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Basic concepts, definitions, and methods in D number theory
Xinyang Deng
As a generalization of Dempster-Shafer theory, D number theory (DNT) aims to provide a framework to deal with uncertain information with non-exclusiveness and incompleteness. Altho…
Belief and plausibility measures for D numbers
Xinyang Deng
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 basi…
On the negation of a Dempster-Shafer belief structure based on maximum uncertainty allocation
Xinyang Deng, Wen Jiang
Probability theory and Dempster-Shafer theory are two germane theories to represent and handle uncertain information. Recent study suggested a transformation to obtain the negation…
A total uncertainty measure for D numbers based on belief intervals
Xinyang Deng, Wen Jiang
As a generalization of Dempster-Shafer theory, the theory of D numbers is a new theoretical framework for uncertainty reasoning. Measuring the uncertainty of knowledge or informati…
D numbers theory based game-theoretic framework in adversarial decision making under fuzzy environment
Xinyang Deng, Wen Jiang
Adversarial decision making is a particular type of decision making problem where the gain a decision maker obtains as a result of his decisions is affected by the actions taken by…
Exploring the Combination Rules of D Numbers From a Perspective of Conflict Redistribution
Xinyang Deng, Wen Jiang
Dempster-Shafer theory of evidence is widely applied to uncertainty modelling and knowledge reasoning because of its advantages in dealing with uncertain information. But some cond…
Transformation of basic probability assignments to probabilities based on a new entropy measure
Xinyang Deng, Yong Deng
Dempster-Shafer evidence theory is an efficient mathematical tool to deal with uncertain information. In that theory, basic probability assignment (BPA) is the basic element for th…
Distance function of D numbers
Meizhu Li, Qi Zhang, Xinyang Deng +1
Dempster-Shafer theory is widely applied in uncertainty modelling and knowledge reasoning due to its ability of expressing uncertain information. A distance between two basic proba…
D-CFPR: D numbers extended consistent fuzzy preference relations
Xinyang Deng, Felix T. S. Chan, Rehan Sadiq +2
How to express an expert's or a decision maker's preference for alternatives is an open issue. Consistent fuzzy preference relation (CFPR) is with big advantages to handle this pro…
Parameter estimation based on interval-valued belief structures
Xinyang Deng, Yong Hu, Felix Chan +2
Parameter estimation based on uncertain data represented as belief structures is one of the latest problems in the Dempster-Shafer theory. In this paper, a novel method is proposed…