Mixed Rational Assessments of Possibility and Probability Measures | Zendy

Tommaso Flaminio | Zendy; Enrico Marchioni | Zendy

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Mixed Rational Assessments of Possibility and Probability Measures

Author(s) -

Tommaso Flaminio,

Enrico Marchioni

Publication year - 2007

Publication title -

electronic notes in theoretical computer science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.242

H-Index - 60

ISSN - 1571-0661

DOI - 10.1016/j.entcs.2006.07.027

Subject(s) - formalism (music) , coherence (philosophical gambling strategy) , modal , computer science , characterization (materials science) , modal logic , fuzzy logic , consistency (knowledge bases) , mathematics , theoretical computer science , algorithm , calculus (dental) , artificial intelligence , statistics , medicine , art , musical , chemistry , materials science , dentistry , polymer chemistry , visual arts , nanotechnology

In this paper we introduce the modal-fuzzy logic FPΠ(RŁΔ) for reasoning about probability and possibility at the same time. We will use such a logical formalism in order to treat mixed assessments of both those kinds of measures. The main result of this paper is a characterization of the coherence for rational mixed assessments by means of the logical consistency of a suitably defined FPΠ(RŁΔ)-theory. By means of this characterization, we will also prove that the problem of testing the coherence of a mixed assessment is NP-complete

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