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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…

Artificial Intelligence · Computer Science 2007-05-23 Jean Dezert , Florentin Smarandache , Milan Daniel

This paper introduces the notion of qualitative belief assignment to model beliefs of human experts expressed in natural language (with linguistic labels). We show how qualitative beliefs can be efficiently combined using an extension of…

Artificial Intelligence · Computer Science 2007-05-23 Florentin Smarandache , Jean Dezert

Decision making is still an open issue in the application of Dempster-Shafer evidence theory. A lot of works have been presented for it. In the transferable belief model (TBM), pignistic probabilities based on the basic probability as-…

Artificial Intelligence · Computer Science 2014-06-09 Meizhu Li , Qi Zhang , Yong Deng

In this paper one studies, within Dezert-Smarandache Theory (DSmT), the case when the sources of information provide imprecise belief functions/masses, and we generalize the DSm rules of combination (classic or hybrid rules) from scalar…

General Mathematics · Mathematics 2007-05-23 Jean Dezert , Florentin Smarandache

The recent theory of plausible and paradoxical reasoning (DSmT for short, or Dezert-Smarandache Theory), developed by the authors, appears to be a nice promising theoretical tools to solve many information fusion problems (for example in…

General Mathematics · Mathematics 2009-09-29 Jean Dezert , Florentin Smarandache

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 decisions from the obtained…

Artificial Intelligence · Computer Science 2015-02-24 Tamer M. Abo Neama , Ismail A. Ismail , Tarek S. Sobh , M. Zaki

Dempster-Shafer evidence theory is an efficient mathematical tool to deal with uncertain information. In that theory, basic probability assignment (BPA) is the basic element for the expression and inference of uncertainty. Decision-making…

Artificial Intelligence · Computer Science 2015-02-26 Xinyang Deng , Yong Deng

The management and combination of uncertain, imprecise, fuzzy and even paradoxical or high conflicting sources of information has always been and still remains of primal importance for the development of reliable information fusion systems.…

Artificial Intelligence · Computer Science 2007-05-23 Jean Dezert , Florentin Smarandache

In pattern recognition, handling uncertainty is a critical challenge that significantly affects decision-making and classification accuracy. Dempster-Shafer Theory (DST) is an effective reasoning framework for addressing uncertainty, and…

Artificial Intelligence · Computer Science 2024-10-31 Juntao Xu , Tianxiang Zhan , Yong Deng

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…

Artificial Intelligence · Computer Science 2007-05-23 Florentin Smarandache , Jean Dezert

In some real world information fusion situations, time critical decisions must be made with an incomplete information set. Belief function theories (e.g., Dempster-Shafer theory of evidence, Transferable Belief Model) have been shown to…

Artificial Intelligence · Computer Science 2015-06-01 John J. Sudano

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…

Artificial Intelligence · Computer Science 2009-03-03 Jean Dezert , Florentin Smarandache

In this paper we extend the new family of (quantitative) Belief Conditioning Rules (BCR) recently developed in the Dezert-Smarandache Theory (DSmT) to their qualitative counterpart for belief revision. Since the revision of quantitative as…

Artificial Intelligence · Computer Science 2007-09-06 Florentin Smarandache , Jean Dezert

Online decision making under uncertainty in partially observable domains, also known as Belief Space Planning, is a fundamental problem in robotics and Artificial Intelligence. Due to an abundance of plausible future unravelings,…

Artificial Intelligence · Computer Science 2023-02-15 Andrey Zhitnikov , Vadim Indelman

Dempster-Shafer's model aims at quantifying degrees of belief But there are so many interpretations of Dempster-Shafer's theory in the literature that it seems useful to present the various contenders in order to clarify their respective…

Artificial Intelligence · Computer Science 2013-04-05 Philippe Smets

In this paper, we generalize the belief function on complex plane from another point of view. We first propose a new concept of complex mass function based on the complex number, called complex basic belief assignment, which is a…

Artificial Intelligence · Computer Science 2019-07-11 Fuyuan Xiao

In this paper, we provide an explicit probability distribution for classification purposes. It is derived from the Bayesian nonparametric mixture of Dirichlet process model, but with suitable modifications which remove unsuitable aspects of…

Applications · Statistics 2009-05-05 Ruth Fuentes-Garcia , Ramses H Mena , Stephen G Walker

The article provides the theoretical framework of Probabilistic Shoenfield Machines (PSMs), an extension of the classical Shoenfield Machine that models randomness in the computation process. PSMs are introduced in contexts where…

Symbolic Computation · Computer Science 2025-05-01 Maksymilian Bujok , Adam Mata

This paper suggests a new interpretation of the Dempster-Shafer theory in terms of probabilistic interpretation of plausibility. A new rule of combination of independent evidence is shown and its preservation of interpretation is…

Artificial Intelligence · Computer Science 2017-04-07 Mieczysław Kłopotek

The sum-product or belief propagation (BP) algorithm is a widely used message-passing technique for computing approximate marginals in graphical models. We introduce a new technique, called stochastic orthogonal series message-passing…

Information Theory · Computer Science 2012-12-18 Nima Noorshams , Martin J. Wainwright
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