A Novel Decision Probability Transformation Method Based On Belief Interval

Author : Zhan Deng,Jianyu Wang
Publisher : Infinite Study
Page : 11 pages
File Size : 45,9 Mb
Release : 2024-06-29
Category : Education
ISBN : 8210379456XXX

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A novel decision probability transformation method based on belief interval by Zhan Deng,Jianyu Wang Pdf

In Dempster–Shafer evidence theory, the basic probability assignment (BPA) can effectively represent and process uncertain information. How to transform the BPA of uncertain information into a decision probability remains a problem to be solved. In the light of this issue, we develop a novel decision probability transformation method to realize the transition from the belief decision to the probability decision in the framework of Dempster–Shafer evidence theory. The newly proposed method considers the transformation of BPA with multi-subset focal elements from the perspective of the belief interval, and applies the continuous interval argument ordered weighted average operator to quantify the data information contained in the belief interval for each singleton. Afterward, we present an approach to calculate the support degree of the singleton based on quantitative data information. According to the support degree of the singleton, the BPA of multi-subset focal elements is allocated reasonably. Furthermore, we introduce the concepts of probabilistic information content in this paper, which is utilized to evaluate the performance of the decision probability transformation method. Eventually, a few numerical examples and a practical application are given to demonstrate the rationality and accuracy of our proposed method.

Author : ZHAO Yu-xin,JIA Ren-feng,LIU Chang,SHEN Zhi-feng
Publisher : Infinite Study
Page : 7 pages
File Size : 50,9 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 8210379456XXX

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Transformation method of decision-making probability based on correlation degree by ZHAO Yu-xin,JIA Ren-feng,LIU Chang,SHEN Zhi-feng Pdf

To slove the problem in the transformation of basic probability assignment to decision-making probability, this paper proposed a novel transformation method based on correlation degree. The correlation degree between basic probability assignment of singleton proposition and decision-making probability was used to evaluate the transformation method, and the decision-making probability of each proposition was achieved by linear combination, which was the transformation method of decision-making probability based on proportional belief and proportional plausibility. The proposed method was compared to the other usual methods with an example. The experimental result shows that the proposed method is more reasonable and effective.

Author : Yuan Xu,Hongyang Yan,Huang Teng,Jun Cai,Jin Li
Publisher : Springer Nature
Page : 707 pages
File Size : 48,7 Mb
Release : 2023-01-12
Category : Computers
ISBN : 9783031201028

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Machine Learning for Cyber Security by Yuan Xu,Hongyang Yan,Huang Teng,Jun Cai,Jin Li Pdf

The three-volume proceedings set LNCS 13655,13656 and 13657 constitutes the refereedproceedings of the 4th International Conference on Machine Learning for Cyber Security, ML4CS 2022, which taking place during December 2–4, 2022, held in Guangzhou, China. The 100 full papers and 46 short papers were included in these proceedings were carefully reviewed and selected from 367 submissions.

Author : Florentin Smarandache,Jean Dezert
Publisher : Infinite Study
Page : 506 pages
File Size : 41,7 Mb
Release : 2015-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Advances and Applications of DSmT for Information Fusion. Collected Works, Volume 4 by Florentin Smarandache,Jean Dezert Pdf

The fourth volume on Advances and Applications of Dezert-Smarandache Theory (DSmT) for information fusion collects theoretical and applied contributions of researchers working in different fields of applications and in mathematics. The contributions have been published or presented after disseminating the third volume (2009, http://fs.gallup.unm.edu/DSmT-book3.pdf) in international conferences, seminars, workshops and journals.

Author : Shichao Zhang,Ray Jarvis
Publisher : Springer
Page : 1344 pages
File Size : 48,9 Mb
Release : 2005-11-27
Category : Computers
ISBN : 9783540316527

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AI 2005: Advances in Artificial Intelligence by Shichao Zhang,Ray Jarvis Pdf

The 18th Australian Joint Conference on Artificial Intelligence (AI 2005) was held at the University of Technology, Sydney (UTS), Sydney, Australia from 5 to 9 December 2005. AI 2005 attracted a historical record number of submissions, a total of 535 papers. The review process was extremely selective. Out of these 535 submissions, the Program Chairs selected only 77 (14.4%) full papers and 119 (22.2%) short papers based on the review reports, making an acceptance rate of 36.6% in total. Authors of the accepted papers came from over 20 countries. This volume of the proceedings contains the abstracts of three keynote speeches and all the full and short papers. The full papers were categorized into three broad sections, namely: AI foundations and technologies, computational intelligence, and AI in specialized domains. AI 2005 also hosted several tutorials and workshops, providing an interacting mode for specialists and scholars from Australia and other countries. Ronald R. Yager, Geoff Webb and David Goldberg (in conjunction with ACAL05) were the distinguished researchers invited to give presentations. Their contributions to AI 2005 are really appreciated.

Author : Florentin Smarandache,Jean Dezert ,Albena Tchamova
Publisher : Infinite Study
Page : 931 pages
File Size : 51,9 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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Advances and Applications of DSmT for Information Fusion. Collected Works, Volume 5 by Florentin Smarandache,Jean Dezert ,Albena Tchamova Pdf

This fifth volume on Advances and Applications of DSmT for Information Fusion collects theoretical and applied contributions of researchers working in different fields of applications and in mathematics, and is available in open-access. The collected contributions of this volume have either been published or presented after disseminating the fourth volume in 2015 (available at fs.unm.edu/DSmT-book4.pdf or www.onera.fr/sites/default/files/297/2015-DSmT-Book4.pdf) in international conferences, seminars, workshops and journals, or they are new. The contributions of each part of this volume are chronologically ordered. First Part of this book presents some theoretical advances on DSmT, dealing mainly with modified Proportional Conflict Redistribution Rules (PCR) of combination with degree of intersection, coarsening techniques, interval calculus for PCR thanks to set inversion via interval analysis (SIVIA), rough set classifiers, canonical decomposition of dichotomous belief functions, fast PCR fusion, fast inter-criteria analysis with PCR, and improved PCR5 and PCR6 rules preserving the (quasi-)neutrality of (quasi-)vacuous belief assignment in the fusion of sources of evidence with their Matlab codes. Because more applications of DSmT have emerged in the past years since the apparition of the fourth book of DSmT in 2015, the second part of this volume is about selected applications of DSmT mainly in building change detection, object recognition, quality of data association in tracking, perception in robotics, risk assessment for torrent protection and multi-criteria decision-making, multi-modal image fusion, coarsening techniques, recommender system, levee characterization and assessment, human heading perception, trust assessment, robotics, biometrics, failure detection, GPS systems, inter-criteria analysis, group decision, human activity recognition, storm prediction, data association for autonomous vehicles, identification of maritime vessels, fusion of support vector machines (SVM), Silx-Furtif RUST code library for information fusion including PCR rules, and network for ship classification. Finally, the third part presents interesting contributions related to belief functions in general published or presented along the years since 2015. These contributions are related with decision-making under uncertainty, belief approximations, probability transformations, new distances between belief functions, non-classical multi-criteria decision-making problems with belief functions, generalization of Bayes theorem, image processing, data association, entropy and cross-entropy measures, fuzzy evidence numbers, negator of belief mass, human activity recognition, information fusion for breast cancer therapy, imbalanced data classification, and hybrid techniques mixing deep learning with belief functions as well.

Author : Florentin Smarandache, Jean Dezert
Publisher : Infinite Study
Page : 506 pages
File Size : 54,5 Mb
Release : 2015-03-01
Category : Electronic
ISBN : 9781599733241

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Advances and Applications of DSmT for Information Fusion, Vol. IV by Florentin Smarandache, Jean Dezert Pdf

The fourth volume on Advances and Applications of Dezert-Smarandache Theory (DSmT) for information fusion collects theoretical and applied contributions of researchers working in different fields of applications and in mathematics. The contributions (see List of Articles published in this book, at the end of the volume) have been published or presented after disseminating the third volume (2009, http://fs.gallup.unm.edu/DSmT-book3.pdf) ininternational conferences, seminars, workshops and journals.

Author : Deqiang Han,Jean Dezert,Yi Yang
Publisher : Infinite Study
Page : 18 pages
File Size : 54,6 Mb
Release : 2024-06-29
Category : Education
ISBN : 8210379456XXX

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Belief Interval-Based Distance Measures in the Theory of Belief Functions by Deqiang Han,Jean Dezert,Yi Yang Pdf

In belief functions related fields, the distance measure is an important concept, which represents the degree of dissimilarity between bodies of evidence. Various distance measures of evidence have been proposed and widely used in diverse belief function related applications, especially in performance evaluation. Existing definitions of strict and nonstrict distance measures of evidence have their own pros and cons. In this paper, we propose two new strict distance measures of evidence (Euclidean and Chebyshev forms) between two basic belief assignments based on the Wasserstein distance between belief intervals of focal elements. Illustrative examples, simulations, applications, and related analyses are provided to show the rationality and efficiency of our proposed measures for distance of evidence.

Author : Jean Dezert,Florentin Smarandache
Publisher : Infinite Study
Page : 15 pages
File Size : 55,6 Mb
Release : 2021-08-01
Category : Business & Economics
ISBN : 8210379456XXX

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Canonical Decomposition of Basic Belief Assignment for Decision-Making Support by Jean Dezert,Florentin Smarandache Pdf

We present a new methodology for decision-making support based on belief functions thanks to a new theoretical canonical decomposition of dichotomous basic belief assignments (BBAs) that has been developed recently. This decomposition based on proportional conflict redistribution rule no 5 (PCR5) always exists and is unique. This new PCR5-based decomposition method circumvents the exponential complexity of the direct fusion of BBAs with PCR5 rule and it allows to fuse quickly many sources of evidences. The method we propose in this paper provides both a decision and an estimation of the quality of the decision made, which is appealing for decision-making support systems.

Author : Yilin Dong, Xinde Li ,Jean Dezert
Publisher : Infinite Study
Page : 8 pages
File Size : 51,7 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 8210379456XXX

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A New Probabilistic Transformation Based on Evolutionary Algorithm for Decision Making by Yilin Dong, Xinde Li ,Jean Dezert Pdf

The study of alternative probabilistic transformation (PT) in DS theory has emerged recently as an interesting topic, especially in decision making applications. These recent studies have mainly focused on investigating various schemes for assigning both the mass of compound focal elements to each singleton in order to obtain Bayesian belief function for realworld decision making problems. In this paper, work by us also takes inspiration from both Bayesian transformation camps, with a novel evolutionary-based probabilistic transformation (EPT) to select the qualified Bayesian belief function with the maximum value of probabilistic information content (PIC) benefiting from the global optimizing capabilities of evolutionary algorithms. Verification of EPT is carried out by testing it on a set of numerical examples on 4D frames. On each problem instance, comparisons are made between the novel method and those existing approaches, which illustrate the superiority of the proposed method in this paper. Moreover, a simple constraint-handling strategy with EPT is proposed to tackle target type tracking (TTT) problem, simulation results of the constrained EPT on TTT problem prove the rationality of this modification.

Author : Mark J. Machina,Bertrand Munier
Publisher : Springer Science & Business Media
Page : 392 pages
File Size : 49,7 Mb
Release : 1999-09-30
Category : Business & Economics
ISBN : 0792385993

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Beliefs, Interactions and Preferences by Mark J. Machina,Bertrand Munier Pdf

"It also addresses the difficult question to incorporate several of these recent advances simultaneously into one single decision model. And it offers perspectives about the future trends of modeling such complex decision questions."--Jacket.

Author : Marco Wolfenson
Publisher : Unknown
Page : 306 pages
File Size : 54,8 Mb
Release : 1979
Category : Decision making
ISBN : CORNELL:31924004736967

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Inference and Decision Making Based on Interval-valued Probability by Marco Wolfenson Pdf

Author : Van-Nam Huynh,Yoshiteru Nakamori,Hiroakira Ono,Jonathan Lawry,Vladik Kreinovich,Hung T. Nguyen
Publisher : Springer Science & Business Media
Page : 381 pages
File Size : 46,9 Mb
Release : 2008-01-11
Category : Mathematics
ISBN : 9783540776642

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Interval / Probabilistic Uncertainty and Non-classical Logics by Van-Nam Huynh,Yoshiteru Nakamori,Hiroakira Ono,Jonathan Lawry,Vladik Kreinovich,Hung T. Nguyen Pdf

This book contains the proceedings of the first International Workshop on Interval/Probabilistic Uncertainty and Non Classical Logics, Ishikawa, Japan, March 25-28, 2008. The workshop brought together researchers working on interval and probabilistic uncertainty and on non-classical logics. It is hoped this workshop will lead to a boost in the much-needed collaboration between the uncertainty analysis and non-classical logic communities, and thus, to better processing of uncertainty.

Author : Anonim
Publisher : Unknown
Page : 1388 pages
File Size : 42,5 Mb
Release : 2005
Category : Artificial intelligence
ISBN : UOM:39015058760318

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AI ... by Anonim Pdf

Author : Rajendra P. Srivastava,Theodore J. Mock
Publisher : Springer Science & Business Media
Page : 360 pages
File Size : 47,5 Mb
Release : 2002-03-25
Category : Business & Economics
ISBN : 3790814512

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Belief Functions in Business Decisions by Rajendra P. Srivastava,Theodore J. Mock Pdf

The book focuses on applications of belief functions to business decisions. Section I introduces the intuitive, conceptual and historical development of belief functions. Three different interpretations (the marginally correct approximation, the qualitative model, and the quantitative model) of belief functions are investigated, and rough set theory and structured query language (SQL) are used to express belief function semantics. Section II presents applications of belief functions in information systems and auditing. Included are discussions on how a belief-function framework provides a more efficient and effective audit methodology and also the appropriateness of belief functions to represent uncertainties in audit evidence. The third section deals with applications of belief functions to mergers and acquisitions; financial analysis of engineering enterprises; forecast demand for mobile satellite services; modeling financial portfolios; and economics.