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Nearest piecewise linear approximation of fuzzy numbers

Authors
Journal
Fuzzy Sets and Systems
0165-0114
Publisher
Elsevier
Publication Date
Volume
233
Identifiers
DOI: 10.1016/j.fss.2013.02.005
Keywords
  • Approximation Of Fuzzy Numbers
  • Fuzzy Number
  • Piecewise Linear Approximation
Disciplines
  • Computer Science

Abstract

Abstract The problem of the nearest approximation of fuzzy numbers by piecewise linear 1-knot fuzzy numbers is discussed. By using 1-knot fuzzy numbers one may obtain approximations which are simple enough and flexible to reconstruct the input fuzzy concepts under study. They might be also perceived as a generalization of the trapezoidal approximations. Moreover, these approximations possess some desirable properties. Apart from theoretical considerations approximation algorithms that can be applied in practice are also given.

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