Quantum mechanical approach to fuzzy logic modelling

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3 Scopus citations

Abstract

This paper proposes a new method to construct a degree of membership in fuzzy modelling. The method is based on similarity between fuzzy and quantum-mechanical logic and suggests using the mathematical apparatus of quantum mechanics (Hermit's operators and wave-functions) for fuzzy models. This approach first requires the construction of a special "quasi-potential" function based upon the knowledge of an analyzed system. How this method works is illustrated with the help of three simple examples concerning hormone normal concentrations, an optimal number of hospitals, and the distance to healthcare.

Original languageEnglish
Pages (from-to)937-945
Number of pages9
JournalMathematical and Computer Modelling
Volume34
Issue number7-8
DOIs
StatePublished - 16 Oct 2001

Keywords

  • Fuzzification
  • Fuzzy logic modelling
  • Quantum-mechanical apparatus

ASJC Scopus subject areas

  • Modeling and Simulation
  • Computer Science Applications

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