Towards the properties of fuzzy multiplication for fuzzy numbers

Alexandru Mihai Bica; Dorina Fechete; Ioan Fechete

Kybernetika (2019)

  • Volume: 55, Issue: 1, page 44-62
  • ISSN: 0023-5954

Abstract

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In this paper, by using a new representation of fuzzy numbers, namely the ecart-representation, we investigate the possibility to consider such multiplication between fuzzy numbers that is fully distributive. The algebraic and topological properties of the obtained semiring are studied making a comparison with the properties of the existing fuzzy multiplication operations. The properties of the generated fuzzy power are investigated.

How to cite

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Bica, Alexandru Mihai, Fechete, Dorina, and Fechete, Ioan. "Towards the properties of fuzzy multiplication for fuzzy numbers." Kybernetika 55.1 (2019): 44-62. <http://eudml.org/doc/294832>.

@article{Bica2019,
abstract = {In this paper, by using a new representation of fuzzy numbers, namely the ecart-representation, we investigate the possibility to consider such multiplication between fuzzy numbers that is fully distributive. The algebraic and topological properties of the obtained semiring are studied making a comparison with the properties of the existing fuzzy multiplication operations. The properties of the generated fuzzy power are investigated.},
author = {Bica, Alexandru Mihai, Fechete, Dorina, Fechete, Ioan},
journal = {Kybernetika},
keywords = {fuzzy number; semiring; fuzzy product distributivity},
language = {eng},
number = {1},
pages = {44-62},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Towards the properties of fuzzy multiplication for fuzzy numbers},
url = {http://eudml.org/doc/294832},
volume = {55},
year = {2019},
}

TY - JOUR
AU - Bica, Alexandru Mihai
AU - Fechete, Dorina
AU - Fechete, Ioan
TI - Towards the properties of fuzzy multiplication for fuzzy numbers
JO - Kybernetika
PY - 2019
PB - Institute of Information Theory and Automation AS CR
VL - 55
IS - 1
SP - 44
EP - 62
AB - In this paper, by using a new representation of fuzzy numbers, namely the ecart-representation, we investigate the possibility to consider such multiplication between fuzzy numbers that is fully distributive. The algebraic and topological properties of the obtained semiring are studied making a comparison with the properties of the existing fuzzy multiplication operations. The properties of the generated fuzzy power are investigated.
LA - eng
KW - fuzzy number; semiring; fuzzy product distributivity
UR - http://eudml.org/doc/294832
ER -

References

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