1. bookVolume 74 (2019): Issue 1 (December 2019)
    Real Functons, Ideals, Measurable Functions, Functional Equations
Journal Details
First Published
12 Nov 2012
Publication timeframe
3 times per year
access type Open Access

Real Functions in Stochastic Dependence

Published Online: 15 Nov 2019
Page range: 17 - 34
Received: 11 Dec 2017
Journal Details
First Published
12 Nov 2012
Publication timeframe
3 times per year

In a fuzzified probability theory, random events are modeled by measurable functions into [0,1] and probability measures are replaced with probability integrals. The transition from Boolean two-valued logic to Lukasiewicz multivalued logic results in an upgraded probability theory in which we define and study asymmetrical stochastic dependence/independence and conditional probability based on stochastic channels and joint experiments so that the classical constructions follow as particular cases. Elementary categorical methods enable us to put the two theories into a perspective.


MSC 2010

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