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Generalized Evidence Theory
Conflict management is still an open issue in the application of Dempster
Shafer evidence theory. A lot of works have been presented to address this
issue. In this paper, a new theory, called as generalized evidence theory
(GET), is proposed. Compared with existing methods, GET assumes that the
general situation is in open world due to the uncertainty and incomplete
knowledge. The conflicting evidence is handled under the framework of GET. It
is shown that the new theory can explain and deal with the conflicting evidence
in a more reasonable way.Comment: 39 pages, 5 figure
An introduction to DSmT
The management and combination of uncertain, imprecise, fuzzy and even
paradoxical or high conflicting sources of information has always been, and
still remains today, of primal importance for the development of reliable
modern information systems involving artificial reasoning. In this
introduction, we present a survey of our recent theory of plausible and
paradoxical reasoning, known as Dezert-Smarandache Theory (DSmT), developed for
dealing with imprecise, uncertain and conflicting sources of information. We
focus our presentation on the foundations of DSmT and on its most important
rules of combination, rather than on browsing specific applications of DSmT
available in literature. Several simple examples are given throughout this
presentation to show the efficiency and the generality of this new approach
A two-step fusion process for multi-criteria decision applied to natural hazards in mountains
Mountain river torrents and snow avalanches generate human and material
damages with dramatic consequences. Knowledge about natural phenomenona is
often lacking and expertise is required for decision and risk management
purposes using multi-disciplinary quantitative or qualitative approaches.
Expertise is considered as a decision process based on imperfect information
coming from more or less reliable and conflicting sources. A methodology mixing
the Analytic Hierarchy Process (AHP), a multi-criteria aid-decision method, and
information fusion using Belief Function Theory is described. Fuzzy Sets and
Possibilities theories allow to transform quantitative and qualitative criteria
into a common frame of discernment for decision in Dempster-Shafer Theory (DST
) and Dezert-Smarandache Theory (DSmT) contexts. Main issues consist in basic
belief assignments elicitation, conflict identification and management, fusion
rule choices, results validation but also in specific needs to make a
difference between importance and reliability and uncertainty in the fusion
process
General combination rules for qualitative and quantitative beliefs
Martin and Osswald \cite{Martin07} have recently proposed many
generalizations of combination rules on quantitative beliefs in order to manage
the conflict and to consider the specificity of the responses of the experts.
Since the experts express themselves usually in natural language with
linguistic labels, Smarandache and Dezert \cite{Li07} have introduced a
mathematical framework for dealing directly also with qualitative beliefs. In
this paper we recall some element of our previous works and propose the new
combination rules, developed for the fusion of both qualitative or quantitative
beliefs
The Combination of Paradoxical, Uncertain, and Imprecise Sources of Information based on DSmT and Neutro-Fuzzy Inference
The management and combination of uncertain, imprecise, fuzzy and even
paradoxical or high conflicting sources of information has always been, and
still remains today, of primal importance for the development of reliable
modern information systems involving artificial reasoning. In this chapter, we
present a survey of our recent theory of plausible and paradoxical reasoning,
known as Dezert-Smarandache Theory (DSmT) in the literature, developed for
dealing with imprecise, uncertain and paradoxical sources of information. We
focus our presentation here rather on the foundations of DSmT, and on the two
important new rules of combination, than on browsing specific applications of
DSmT available in literature. Several simple examples are given throughout the
presentation to show the efficiency and the generality of this new approach.
The last part of this chapter concerns the presentation of the neutrosophic
logic, the neutro-fuzzy inference and its connection with DSmT. Fuzzy logic and
neutrosophic logic are useful tools in decision making after fusioning the
information using the DSm hybrid rule of combination of masses.Comment: 20 page
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