The introduction of the full distance and measures of uncertainty for formulas Lukasiewicz logics for automatic clustering of sets of logical statements from the knowledge base

Authors

  • A.A. Vikent’ev
  • V.V. Fefelova

Keywords:

multi-valued logic, Lukasiewicz logic, distance between formulas, uncertainty measure, clustering, hierarchical algorithm, model theory

Abstract

This article discusses logical statements of experts who can be represented by logical formulas of n-valued logic of Lukasiewicz. Using a theoretical model approach, enter the full distance between the formulas and measures of uncertainty formulas. We study the properties of these variables. Also showing calculation and application variables for clustering groups of formulas of n-valued logic of Lukasiewicz Knowledge Base (expert systems).

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Published

2015-09-29

Issue

Section

MATHEMATICS