Aggregating Non-Independent Dempster-Shafer Belief Structures

The Choice of Generalized Dempster-Shafer Rules for Aggregating Belief Functions Based on Imprecision Indices

Decision Making with Dempster-Shafer Theory of Evidence Using Geometric Operators

We study the problem of decision making with Dempster-Shafer belief structure. We analyze the previous work developed by Yager about using the ordered weighted averaging (OWA) operator in the aggregation of the Dempster-Shafer decision process. We discuss the possibility of aggregating with an ascending order in the OWA operator for the cases where the smallest value is the best result. We sugg...

Audit Risk Formula with Mixed Evidence

The financial statement audit is the process of collecting, evaluating, and aggregating relevant items of evidence pertaining to various management assertions related to the financial statement accounts to determine whether the company’s financial statements present fairly its financial position. The Dempster-Shafer theory [1] of belief functions has been argued to be an appropriate framework f...

On the interrelation between Dempster-Shafer Belief Structures and their Belief Cumulative Distribution Functions

We consider Dempster-Shafer belief structures (DSBSs) m having finitely many non-empty compact intervals as focal elements and prove several results describing the interrelation between DSBSs and their so-called Belief Cumulative Distribution Functions (BCDFs) x 7→ F(x) = (F (x), F (x)) induced by the corresponding belief and plausibility measures. In particular, we answer a question by Ronald ...

Using Dempster-Shafer theory in knowledge representation

In this pa�, we suggest marry ing Dempster-Shafer (DS) theory w1th Knowledge Representation (KR). Born out of this marr iage is the defmition of "Dempster-Shafer Belief Bases", abstract data types representing uncertain knowledge that use DS theory for representing strength of belief about our knowledge, and the linguistic structures of an arbitrary KR system for representing the knowledge itse...