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An Analysis of Type-1 and Type-2 Fuzzy Logic Systems

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Abstract

This document introduces the concept of Type-2 fuzzy sets and compares the Type-2 fuzzy set preliminaries with the ordinary Type-1 fuzzy set. Two theorems are proved: the first one helps to generate the general form of the Type-2 operations, the second provides an approach to transfer the Type-1 fuzzy uncertainties to the Type-2 system.

Keywords

  • Formal logic
  • Membership functions
  • Theorem proving
  • Topological additive noise
  • Uncertain systems

Disciplines

  • Electrical and Computer Engineering

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