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Analysis of data with fuzzy noise

Authors
Journal
Fuzzy Sets and Systems
0165-0114
Publisher
Elsevier
Publication Date
Volume
64
Issue
3
Identifiers
DOI: 10.1016/0165-0114(94)90158-9
Keywords
  • Fuzzy Quantity
  • Fuzzy Data
  • Noisy Data
  • Group Of Fuzzy Numbers
Disciplines
  • Mathematics

Abstract

Abstract Real data processed in practical applications of mathematical models are frequently presented as a (additive or multiplicative) mixture of a deterministic - usually unknown - numeric value and some kind of noise. The noise can be considered for a random variable and treated by classical probabilistic methods. But in many cases the stochastic description of the noise is not fully adequate to the nature of the considered data, and a fuzzy representation of their non-deterministic component does much mòre correspond to their structure. Numerical data entering applied models are mathematically processed, at least by means of elementary arithmetic operations. In case of fuzzy-contaminated data such processing is limited by their algebraic properties which are not identical with the classical ones known for deterministic numbers. In this contribution we present a brief survey of the algebraic properties of such operations applicable to the fuzzy data.

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