Algebra of fuzzy numbers.

Witold Kosiński; Piotr Prokopowicz

Mathematica Applicanda (2004)

  • Volume: 32, Issue: 46/05
  • ISSN: 1730-2668

Abstract

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An algebra of ordered fuzzy numbers (OFN) is defined. It enables handling fuzzy inputs in a quantitative way, exactly in the same way as for real numbers. Two additional structures, algebraic and normed (topological), are introduced, which make it possible to define a general form of defuzzyfication operators if fuzzy rules are used in a decision process. A useful implementation of a fuzzy calculator is given which allows counting with OFNs of general type membership relations.

How to cite

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Witold Kosiński, and Piotr Prokopowicz. "Algebra of fuzzy numbers.." Mathematica Applicanda 32.46/05 (2004): null. <http://eudml.org/doc/293270>.

@article{WitoldKosiński2004,
abstract = {An algebra of ordered fuzzy numbers (OFN) is defined. It enables handling fuzzy inputs in a quantitative way, exactly in the same way as for real numbers. Two additional structures, algebraic and normed (topological), are introduced, which make it possible to define a general form of defuzzyfication operators if fuzzy rules are used in a decision process. A useful implementation of a fuzzy calculator is given which allows counting with OFNs of general type membership relations.},
author = {Witold Kosiński, Piotr Prokopowicz},
journal = {Mathematica Applicanda},
keywords = {03E72},
language = {eng},
number = {46/05},
pages = {null},
title = {Algebra of fuzzy numbers.},
url = {http://eudml.org/doc/293270},
volume = {32},
year = {2004},
}

TY - JOUR
AU - Witold Kosiński
AU - Piotr Prokopowicz
TI - Algebra of fuzzy numbers.
JO - Mathematica Applicanda
PY - 2004
VL - 32
IS - 46/05
SP - null
AB - An algebra of ordered fuzzy numbers (OFN) is defined. It enables handling fuzzy inputs in a quantitative way, exactly in the same way as for real numbers. Two additional structures, algebraic and normed (topological), are introduced, which make it possible to define a general form of defuzzyfication operators if fuzzy rules are used in a decision process. A useful implementation of a fuzzy calculator is given which allows counting with OFNs of general type membership relations.
LA - eng
KW - 03E72
UR - http://eudml.org/doc/293270
ER -

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