PROPERTIES OF FUZZY NOMINAL SCALES

Eric Benoit

Abstract

Fuzzy nominal scales were introduced in order to propose a formalism to the representation of empirical quantities by fuzzy subsets of words. The purpose of this paper is to explore the possible relations and operators that can be used on measurements performed with this kind of scale. Then an extension of these scales, named fuzzy metric scale, and based on the definition of a distance between measured values is given. As examples of operators, a medium operator and a median filter are given. Finally a comparison procedure of 2 fuzzy metric scale is given.

Keywords

Fuzzy nominal scale, Measurement theory, Fuzzy subsets theory

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IMEKO-WC-2009-TC7-540.pdf

DOI

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IMEKO TC

TC7 - Measurement Science

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