By analyzing the relationships among chance, weight of evidence and degree of belief, it is shown that the assertion \chances are special cases of belief functions" and the assertion \Dempster's rule can be used to combine belief functions based on distinct bodies of evidence" together lead to an inconsistency in Dempster-Shafer theory. To solve this problem, some fundamental postulates of the ...

In this paper, a hesitant fuzzy power Maclaurin symmetric mean operator and weighted are presented. The properties of these operators explored proved, their special cases discussed. Based on the presented operators, new method is proposed to solve multiple criteria decision making problems with numbers. A numerical example introduced elucidate application method. advantages demonstrated via com...

Issues of formalisirig and interpreting epistemic uncertainty have always played a prominent role in Artificial Intelligence. The Dempster-Shafer (DS) theory of partial beliefs is one of the most-well known formalisms to address the partial knowledge. Similarly to the DS theory, which is a généralisation of the classical probability theory, fuzzy logie provides an alternative reasoning apparatu...

There are described some algebraic structures on a space of belief functions on a two element frame namely so called Dempster s semigroup with Dempster s operation dempsteroids and their basic properties The present paper is devoted to the investi gation of automorphisms of Dempster s semigroup Full characterization of general and ordered automorphisms is obtained their parametric description i...

In the current versions of the Dempster-Shafer theory, the only essential restriction on the validity of the rule of combination is that the sources of evidence must be statistically independent. Under this assumption, it is permissible to apply the Dempster-Shafer . rule to two or more distinct probability distributions. An essential step in the Dempster-Shafer rule of combination of evidence ...

Background: Determining the rank of important parameters in ranking health care and providing health services to patients in medical centers. Methods: The research method is descriptive-analytical and applied in terms of classification. The data is from the database of the Faculty of Health and Medicine of the University of Tehran, which was collected as an archive from April 1998 to May 1999....

and key words This paper presents an historical overview of the evolution of the notion of probability . The different kinds of probability and the opposition between objectivists (or frequencists) and subjectivists are presented . Then we show how some works, following the wor k by Cox, aim at deducing what is called by others axioms of probabilities, from a given set of basic postulates which...

The modeling of epistemic knowledge is a necessity of most systems dealing with some sort of artificial reasoning. There a re several formalisms able to mathematically model someone’s degrees of belief. A very popular one is the Bayesian Theory, which is based on a prior knowledge of a probability distribution. Another model is the Theory of Evidence, or DempskrShafer Theory, which provides a m...

The Dempster-Shafer theory gives a solid basis for reasoning appl icat ions characterized by uncertainty. A key feature of the theory is that proposi t ions are represented as subsets of a set which represents a hypothesis space. Th is power set along w i t h the set operations is a Boolean algebra. Can we generalize the theory to cover a rb i t ra ry Boolean algebras ? We show that the answer ...