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Implementing belief function computations
International Journal of Intelligent Systems, 2003Summary: This article discusses several implementation aspects for Dempster-Shafer belief functions. The main objective is to propose an appropriate representation of mass functions and efficient data structures and algorithms for the two basic operations of combination and marginalization.
Haenni, Rolf, Lehmann, Norbert
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Belief Function Correction Mechanisms
2010Different operations can be used in the theory of belief functions to correct the information provided by a source, given metaknowledge about that source. Examples of such operations are discounting, de-discounting, extended discounting and contextual discounting. In this article, the links between these operations are explored.
Mercier, David +2 more
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Using Belief Functions to Represent Degrees of Belief
Organizational Behavior and Human Decision Processes, 1994Abstract Belief functions are an alternative or supplement to probabilities for representing the degree to which we believe in various hypotheses, highlighting different aspects of subjects′ uses of evidence. In particular, belief functions have potential for situations in which the belief assessor is interested in judging the degree of support or ...
Shawn P. Curley, James I. Golden
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Reasoning with belief functions
2020Belief functions are fascinating mathematical objects, but most of all they are useful tools designed to achieve a more natural, proper description of one’s uncertainty concerning the state of the external world.
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Introduction to Belief Functions
2002This chapter introduces a theoretical perspective that may be used in business research and practice when confronting decision tasks that involve uncertainly. The main body of the chapter is an introduction to Belief Functions. The introduction includes a discussion of the fundamental constructs and then illustrates the use of belief functions in a ...
Rajendra P. Srivastava, Theodore J. Mock
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Boolean-valued belief functions
International Journal of General Systems, 2002Some reasons are briefly sketched in favour of the idea that, besides the classical probabilistic and possibilistic measures with uncertainties quantified by real numbers from the unit interval, also non-numerical uncertainty degrees are worth being admitted, analysed and discussed.
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Beliefs as signals: A new function for belief
Philosophical Psychology, 2017AbstractBeliefs serve at least two broad functions. First, they help us navigate the world. Second, they serve as signals to manipulate others. Philosophers and psychologists have focused on the first function while largely overlooking the second. This article advances a conception of signals and makes a prima facie case for a social signaling function
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2015
This study presents an idea of indecisive functions, their general and also special definitions, plausibility and pignistic indecisive belief functions. The rich structure of indecisive belief functions is studied in general, and also in special views: both general substructures and indecisive belief functions on three-element and general finite frames
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This study presents an idea of indecisive functions, their general and also special definitions, plausibility and pignistic indecisive belief functions. The rich structure of indecisive belief functions is studied in general, and also in special views: both general substructures and indecisive belief functions on three-element and general finite frames
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
exaly
Monte-Carlo Estimations for Belief Functions
2001It is well-known that belief functions can serve as numerical characteristics of the degrees of uncertainty in the Dempster-Shafer theory. Although they differ from probability measures, their particular values can be defined by probabilities with appropriately defined generalized set-valued random variables that take values in suitable measurable ...
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