Topic
Pignistic probability
About: Pignistic probability is a research topic. Over the lifetime, 105 publications have been published within this topic receiving 5817 citations.
Papers published on a yearly basis
Papers
TL;DR: The transferable belief model is described, a model for representing quantified beliefs based on belief functions that can be held at two levels: a credal level where beliefs are entertained and quantified by belief functions, and a pignisticlevel where beliefs can be used to make decisions and are quantification by probability functions.
2,426 citations
TL;DR: The basic concepts of the Dempster-Shafer approach, basic probability assignments, belief functions, and probability functions are discussed, and how to represent various types of knowledge in this framework is discussed.
1,665 citations
TL;DR: The origin of the pignistic transformation is justified by a linearity requirement showing it is not ad hoc but unavoidable provides one accepts expected utility theory.
747 citations
TL;DR: In this article, a subjectivist view of numerical possibility theory is proposed based on the setting of exchangeable bets, which relies on the assumption that when an agent constructs a probability measure by assigning prices to lotteries, this probability measure is actually induced by a belief function representing the agent's actual state of knowledge.
101 citations
TL;DR: This paper analyzes the requirements, presented in the literature, for total uncertainty measures in DST and the shortcomings found on them, and uses the set of shortcomings to define a set of requirements of the behaviour for total Uncertainties in Dempster–Shafer theory of evidence.
Abstract: Recently, an alternative measure of total uncertainty in Dempster–Shafer theory of evidence (DST) has been proposed in place of the maximum entropy measure. It is based on the pignistic probability of a basic probability assignment and it is proved that this measure verifies a set of needed properties for such a type of measure. The proposed measure is motivated by the problems that maximum (upper) entropy has. In this paper, we analyse the requirements, presented in the literature, for total uncertainty measures in DST and the shortcomings found on them. We extend the set of requirements, which we consider as a set of requirements of properties, and we use the set of shortcomings found on them to define a set of requirements of the behaviour for total uncertainty measures in DST. We present the differences of the principal total uncertainty measures presented in DST taking into account their properties and behaviour. Also, an experimental comparative study of the performance of total uncertainty measures...
97 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 5 |
| 2020 | 8 |
| 2019 | 6 |
| 2018 | 8 |
| 2017 | 10 |
| 2016 | 4 |