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PDF(103K) - Wiley Online Library
In this article, we propose another generalization of belief function, plausibility function, and Dempster's combinational rule to fuzzy sets. We then make.
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Generalized belief function, plausibility function - Semantic Scholar
In this article, we propose another generalization of belief function, plausibility function, and Dempster's combinational rule to fuzzy sets. We then make the ...
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Combination of Evidence in Dempster-Shafer Theory, by Kari Sentz
possible combination rules for Dempster-Shafer structures and provides examples of the ..... apply to every situation involving uncertainty, many theories of generalized uncertainty- ..... be directly interpreted as Belief and Plausibility functions.
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Solving Zadeh's Swedes and Italians Challenge Problem
solution to this problem via the Generalized Extension Principle is very difficult to ... expected values of two belief structures, which naturally would be interval type- 2 fuzzy .... in which the fact that is a function of x and y is emphasized. ...... plausibility function, and Dempster's combinational rule to fuzzy sets,”. International ...
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A New Approach to Updating Beliefs
our conditional belief function Bel( ·I B) is a belief function which is the ... ing the rule of combination; hereafter we refer to. Dempster's definition a.s the DS definition of con ditional belief. .... views belief as a generalized probability; the sec ond views it as a .... of updating belief and plausibility functions to give us new belief ...
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Modelling Uncertainty in Agent Programming - CiteSeerX
Dempster's Rule of Combination is a method to combine both pieces of evidence ... belief and plausibility functions can be defined in terms of the mass function as ..... Note that these consecutive mass combinations can be generalized to a sit-.
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Dual properties of the relative belief of singletons
properties with respect to Dempster's rule of combination which mirrors ... operator commutes with Dempster's sum of plausibility functions, while perfectly ...... Smets, P.: Belief functions: the disjunctive rule of combination and the generalized.
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Three alternative combinatorial formulations - Oxford Brookes
Jul 1, 2009 ... In this paper we introduce three alternative combinatorial formula- ... by Arthur Dempster. ... with a belief function is carried by the related plausibility ..... elegant geometric descriptions in terms of generalized triangles or ...
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Download as a PDF - CiteSeerX
Dempster's Rule of Combination is a method to combine both pieces of evidence ... belief and plausibility functions can be defined in terms of the mass function as ..... Note that these consecutive mass combinations can be generalized to a sit-.
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Full-Text PDF - MDPI
Oct 22, 2014 ... combined with Dempster's combinational rule are set to be independent .... For a given element of Ω, the belief function and plausibility function of are denoted by ..... H is the Moore–Penrose generalized inverse of matrix .
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Dual Properties of the Relative Belief of Singletons - Springer
Dual Properties of the Relative Belief of Singletons ... meets a number of properties with respect to Dempster's rule of combination ... In particular, its operator commutes with Dempster's sum of plausibility functions, while ... Smets, P.: Belief functions: the disjunctive rule of combination and the generalized Bayesian theorem.
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Generalization of belief and plausibility functions to fuzzy sets based
plausibility functions based on the Dempster–Shafer theory ~DST! become another method of measuring ... hypotheses and a generalized Bayesian inference. Moreover, when S ...... function, and Demp- ster's combinational rule to fuzzy sets.
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Target Type Tracking with PCR5 and Dempster's rules: A
Jul 31, 2006 ... in real-time Generalized Data Association - Multi Target Tracking systems (GDA- MTT) and provides an im- ... of the belief functions, we have proposed recently a new ... The belief and plausibility of any proposition X ∈ GΘ are defined5 as: ... Dempster's combination rule for two sources is defined by mD(∅).
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Designing a Home Security System Using Sensor Data Fusion with
In this paper, two theories of Dempster-Shafer (DST) and ... DST and DSmT and their combinational rules. Section 4 deals with the ... The belief function Bel (A) in a subset, entails belief in subsets containing that subset. The plausibility function measures the total ... Basic belief assignment, which is named here, generalized.
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Bayesian networks inference algorithm to implement Dempster - Hal
Mar 31, 2007 ... to implement Dempster Shafer theory in reliability analysis. ... Usually, the structure function of the system reliability is modelled with a Markovian process. Each ..... The theory of Dempster-Shafer is a generalized Bayesian model [41]. ..... Plausibility and belief functions computation in Evidential networks.
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Computational Aspects of the Mobius Transform
Mobius transform together with Dempster's rule of combination is ... function, an algorithm for computing Dempster's rule of combination ... determines its belief function belm: p 0 -+ [0 11 defmed by ..... plausibility function and Demps r·s rule of combmmon. .... The generalized point of view adopted in this paper has allowed ...
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Non-conflicting and Conflicting Parts of Belief Functions - Society for
computation of conflicts: combinational conflict, plausibility conflict, and .... Belief Functions on 2-Element Frame of Discernment; Dempster's Semigroup ...... −Bel was generalized to Bayesian BFs and for consonant BFs on a general n-element  ...
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Understanding the large family of Dempster-Shafer theory's fusion
bility, plausibility or pignistic probability) and take its maximum on the discernment ... or three random belief functions, on two to five classes. We conclude with a ...
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Download this PDF file - Journal of Information, Control and
hyperspectral aerospace images, based on the Dempster-Shafer evidence theory .... Graphic correlation between Belief and Plausibility is illustrated in Fig. ... functions mp, then their combination in order to obtain generalized evidence from a.
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A NEW PARADIGM FOR ROBUST COMBINATORIAL OPTIMIZATION
in combination. Using the Dempster-Shafer Theory of Evidence, we construct a formal foun- ... 4.4 Persistence and Generalized Information Theory . . . . . . . . . . . 75 ... 3.1 Combined belief and plausibility values for the technician example. 45 ... 4.7 Combined decision-sets belief function values for solution sets union. 70.
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