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Conditional probability on MV-algebras
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DOI：10.1016/j.fss.2004.04.010.png)
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Abstract
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An appropriate definition of a conditional probability on an MV-algebra was an open problem mentioned in Riecan and Mundici (Handbook of Measure Theory, North-Holland, Amsterdam, 2002). We propose some concept of conditional probability (state) on a a-complete MV-algebra with product. Its basic properties will be proven and it will also be demonstrated that the conditional probability in classical probability theory is a special case of this definition. Moreover, the paper contains also a discussion of the interpretation of fuzzy sets and conditioning in fuzzy probability theory. (C) 2004 Elsevier B.V. All rights reserved.
Keywords:
probability on MV-algebras
Lukasiewicz tribe
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