01 Mathematical Sciences
http://hdl.handle.net/10453/10
20150730T12:09:17Z

A definition of subjective possibility
http://hdl.handle.net/10453/32566
A definition of subjective possibility
Dubois, D; Prade, H; Smets, P
Based on the setting of exchangeable bets, this paper proposes a subjectivist view of numerical possibility theory. It 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. We also assume that the probability measure proposed by the agent in the course of the elicitation procedure is constructed via the socalled pignistic transformation (mathematically equivalent to the Shapley value in game theory). We pose and solve the problem of finding the least informative belief function having a given pignistic probability. We prove that it is unique and consonant, thus induced by a possibility distribution. This result exploits a simple informational ordering, in agreement with partial orderings between belief functions, comparing their information content. The obtained possibility distribution is subjective in the same sense as in the subjectivist school in probability theory. However, we claim that it is the least biased representation of the agent's state of knowledge compatible with the observed betting behaviour. © 2007 Elsevier Inc. All rights reserved.
20080601T00:00:00Z

Handling uncertainty and defeasibility in a possibilistic logic setting
http://hdl.handle.net/10453/32565
Handling uncertainty and defeasibility in a possibilistic logic setting
Dupin de SaintCyr, F; Prade, H
Default rules express concise pieces of knowledge having implicit exceptions, which is appropriate for reasoning under incomplete information. Specific rules that explicitly refer to exceptions of more general default rules can then be handled in a nonmonotonic setting. However, there is no assessment of the certainty with which the conclusion of a default rule holds when it applies. We propose a formalism in which uncertain default rules can be expressed, but still preserving the distinction between the defeasibility and uncertainty semantics by means of a two steps processing. Possibility theory is used for representing both uncertainty and defeasibility. The approach is illustrated in persistence modeling problems. © 2007 Elsevier Inc. All rights reserved.
20080901T00:00:00Z

Coupledtask scheduling on a single machine subject to a fixedjobsequence
http://hdl.handle.net/10453/32451
Coupledtask scheduling on a single machine subject to a fixedjobsequence
Hwang, FJ; Lin, BMT
20110501T00:00:00Z

Probabilistic Dynamic Analysis Of VehicleBridge Interaction System With Uncertain Parameters
http://hdl.handle.net/10453/32374
Probabilistic Dynamic Analysis Of VehicleBridge Interaction System With Uncertain Parameters
Liu, N; Gao, W; Song, C; Zhang, N
This paper presents the probabilistic dynamic analysis of vehiclebridge interaction systems. The bridge's and vehicle's parameters are considered as random variables as well as the road surface roughness is modeled as random process. A twodegreeoffre
20110101T00:00:00Z