The Combination of Paradoxical, Uncertain and Imprecise Sources of Information based on DSmT and Neutro-Fuzzy Inference

The Combination of Paradoxical, Uncertain and Imprecise Sources of Information based on DSmT and Neutro-Fuzzy Inference
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 20
Release:
Genre:
ISBN:

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.

Combination of beliefs on hybrid DSm models

Combination of beliefs on hybrid DSm models
Author: Jean Dezert
Publisher: Infinite Study
Total Pages: 44
Release:
Genre:
ISBN:

This chapter presents a general method for combining uncertain and paradoxical (i.e. highly conflicting) sources of evidence for a wide class of fusion problems. From the foundations of the DSmT we show how the DSm rule of combination can be extended to take into account all possible integrity constraints (if any) of the problem under consideration due to the true nature of elements/concepts involved into it.

Symbolic and Quantitative Approaches to Reasoning with Uncertainty

Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Author: Khaled Mellouli
Publisher: Springer
Total Pages: 927
Release: 2007-09-14
Genre: Computers
ISBN: 3540752560

This book constitutes the refereed proceedings of the 9th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty, ECSQARU 2007. Coverage in the 78 revised full papers, presented together with three invited papers, includes Bayesian networks, graphical models, learning causal networks, planning, causality and independence, preference modeling and decision, argumentation systems, inconsistency handling, and uncertainty measures.

Advances and Applications of DSmT for Information Fusion (Collected works)

Advances and Applications of DSmT for Information Fusion (Collected works)
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 438
Release: 2004
Genre: Computers
ISBN: 1931233829

Papers collected from researchers in fusion information, such as: Florentin Smarandache, Jean Dezert, Hongshe Dang, Chongzhao Han, Frederic Dambreville, Milan Daniel, Mohammad Khoshnevisan, Sukanto Bhattacharya, Albena Tchamova, Tzvetan Semerdjiev, Pavlina Konstantinova, Hongyan Sun, Mohammad Farooq, John J. Sudano, Samuel Corgne, Gregoire Mercier, Laurence Hubert-Moy, Anne-Laure Jousselme, Patrick Maupin and others on Dezert-Smarandache Theory of Plausible and Paradoxical Reasoning (DSmT).. The principal theories available until now for data fusion are the probability theory, the fuzzy set theory, the possibility theory, the hint theory and the theory of evidence. Since last two years J. Dezert and F. Smarandache are actively developing a new theory of plausible and paradoxical reasoning, called DSmT (acronym for Dezert-Smarandache Theory), for information fusion of uncertain and highly conflicting sources of information. The DSmT can be interpreted as a generalization of the Dempster-Shafer Theory (DST) but goes far beyond the DST. The free-DSmT model, which assumes that the ultimate refinement of the frame of discernment of the fusion problem is not accessible due to the intrinsic nature of its elements, is opposite to the Shafer's model (on which is based the DST) assuming the exhaustivity and exclusivity of all elements of the frame of discernment. The DSmT proposes a new theoretical framework for data fusion based on definition of hyper-power sets and a new simple commutative and associative rule of combination. Recently, it has been discovered, through a new DSm hybrid rule of combination, that DSmT can be also extended to problems involving hybrid-models (models including some exclusivity and/or non-existentially constraints). This new important theoretical result offers now to the DSmT a wider class of fusion applications and allows potentially to attack the next generation of complex dynamical/temporal fusion problems. DSmT can also provide a theoretical issue for the fusion of neutrosophic information (extension of fuzzy information proposed by F. Smarandache in nineties - see http://www.gallup.unm.edu/~smarandache/FirstNeutConf.htm for details about the neutrosophy logic and neutrosophy set theory).

AN INTRODUCTION TO DSMT FOR INFORMATION FUSION

AN INTRODUCTION TO DSMT FOR INFORMATION FUSION
Author: Jean Dezert
Publisher: Infinite Study
Total Pages: 12
Release:
Genre: Mathematics
ISBN:

In this short paper, we present an introduction 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 theory.

The Generalized Pignistic Transformation

The Generalized Pignistic Transformation
Author: Jean Dezert
Publisher: Infinite Study
Total Pages: 11
Release:
Genre:
ISBN:

This paper presents in detail the generalized pignistic transformation (GPT)succinctly developed in the Dezert-Smarandache Theory (DSmT) framework as a tool for decision process. The GPT allows to provide a subjective probability measure from any generalized basic belief assignment given by any corpus of evidence. We mainly focus our presentation on the 3D case and provide the complete result obtained by the GPT and its validation drawn from the probability theory.

On conjunctive and disjunctive combination rules of evidence

On conjunctive and disjunctive combination rules of evidence
Author: Hongyan Sun
Publisher: Infinite Study
Total Pages: 31
Release:
Genre:
ISBN:

In this chapter, the Dempster-Shafer (DS) combination rule is examined based on the multi-valued mapping (MVM) and the product combination rule of multiple independent sources of information.

A proposed Framework for Information Fusion and Obtain Beliefs from Evidences

A proposed Framework for Information Fusion and Obtain Beliefs from Evidences
Author: Tamer. M. Abo Neama
Publisher: Infinite Study
Total Pages: 18
Release:
Genre:
ISBN:

Information fusion is an advanced research area which can assist decision makers in enhancing their decisions. This paper aims at designing a new multi-layer framework that can support the process of performing information fusion and obtaining beliefs from evidences.

A Comparison of the Generalized minC Combination and the Hybrid DSm Combination Rules

A Comparison of the Generalized minC Combination and the Hybrid DSm Combination Rules
Author: Milan Daniel
Publisher: Infinite Study
Total Pages: 18
Release:
Genre:
ISBN:

A generalization of the minC combination to DSm hyper-power sets is presented. Both the special formulas for static fusion or dynamic fusion without non-existential constraints and the quite general formulas for dynamic fusion with non-existential constraints are included. Examples of the minC combination on several different hybrid DSm models are presented. A comparison of the generalized minC combination with the hybrid DSm rule is discussed and explained on examples.