2010•Computer Engineering and Applications JournalRequires access

Truth degree theory of system L in space of unevenly distributed probability

Geni Xu

Abstract

The definition of truth degree in the classic 2-valued propositional logic is popularized to the unevenly distributed probability space whose power is 2.It is proved that the set of truth degree of all formulas has no isolated point when p be-longs to(0,1.)Moreovert,he similarity degree and pseudo-distance between two formulas are defined by means of the concept of truth degree of propositions,and p-logic metric space is built.At lastt,hree kinds of approximate reasoning model are presented.

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Key concepts: Degree (music), Truth function, Propositional calculus, Mathematics, Metric space, Space (punctuation), Metric (unit), Point (geometry)