scholarly journals Z-numbers as Generalized Probability Boxes

Author(s):  
Didier Dubois ◽  
Henri Prade
2015 ◽  
Vol 128 (4) ◽  
pp. 33-41
Author(s):  
Ch. Subrahmanyam ◽  
K. Chennakesavareddy

2009 ◽  
Vol 03 (03) ◽  
pp. 209-226 ◽  
Author(s):  
LI JIE ◽  
CHEN JIANBING

The paper aims at clarifying the essential relationship between traditional probability density evolution equations and the generalized probability density evolution equation which is developed by the authors in recent years. Using the principle of preservation of probability as a uniform fundamental, the probability density evolution equations, including the Liouville equation, Fokker–Planck equation and the Dostupov–Pugachev equation, are derived from the physical point of view. It is pointed out that combining with Eulerian or Lagrangian description of the associated dynamical system will lead to different probability density evolution equations. Particularly, when both the principle and dynamical systems are viewed from Lagrangian description, we are led to the generalized probability density evolution equation.


2021 ◽  
Vol 76 (4) ◽  
pp. 1727-1742
Author(s):  
Mendo Castro Henriques

In Insight, an essay on human understanding, (1957, 1st edition) Lonergan presents a heuristic model of emerging probability in order to define, explain and extract norms from the dynamism common to all nature, including human nature, a dynamism that mirrors the reality of intellection. Continuity between different levels of nature discloses a directed, upward, but indeterminate dynamism of the emerging generalized probability. In addition to the ethical consequences that he elaborates, Lonergan remains in an open hermeneutic framework, beyond being proportionate to discursive reason; he opens the way for a surprising final manifestation of this universal dynamism through what he calls transcendent conjugated forms of generalized probability emerging – faith, hope and charity – that are proposed to human freedom.


1998 ◽  
Vol 57 (1) ◽  
pp. 659-662 ◽  
Author(s):  
José L. Cereceda

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