On almost equitable uninorms

Gang Li; Hua-Wen Liu; János Fodor

Kybernetika (2015)

  • Volume: 51, Issue: 4, page 699-711
  • ISSN: 0023-5954

Abstract

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Uninorms, as binary operations on the unit interval, have been widely applied in information aggregation. The class of almost equitable uninorms appears when the contradictory information is aggregated. It is proved that among various uninorms of which either underlying t-norm or t-conorm is continuous, only the representable uninorms belong to the class of almost equitable uninorms. As a byproduct, a characterization for the class of representable uninorms is obtained.

How to cite

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Li, Gang, Liu, Hua-Wen, and Fodor, János. "On almost equitable uninorms." Kybernetika 51.4 (2015): 699-711. <http://eudml.org/doc/271807>.

@article{Li2015,
abstract = {Uninorms, as binary operations on the unit interval, have been widely applied in information aggregation. The class of almost equitable uninorms appears when the contradictory information is aggregated. It is proved that among various uninorms of which either underlying t-norm or t-conorm is continuous, only the representable uninorms belong to the class of almost equitable uninorms. As a byproduct, a characterization for the class of representable uninorms is obtained.},
author = {Li, Gang, Liu, Hua-Wen, Fodor, János},
journal = {Kybernetika},
keywords = {uninorm; representable uninorm; aggregation functions; negation; contradictory information; uninorm; representable uninorm; aggregation functions; negation; contradictory information},
language = {eng},
number = {4},
pages = {699-711},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On almost equitable uninorms},
url = {http://eudml.org/doc/271807},
volume = {51},
year = {2015},
}

TY - JOUR
AU - Li, Gang
AU - Liu, Hua-Wen
AU - Fodor, János
TI - On almost equitable uninorms
JO - Kybernetika
PY - 2015
PB - Institute of Information Theory and Automation AS CR
VL - 51
IS - 4
SP - 699
EP - 711
AB - Uninorms, as binary operations on the unit interval, have been widely applied in information aggregation. The class of almost equitable uninorms appears when the contradictory information is aggregated. It is proved that among various uninorms of which either underlying t-norm or t-conorm is continuous, only the representable uninorms belong to the class of almost equitable uninorms. As a byproduct, a characterization for the class of representable uninorms is obtained.
LA - eng
KW - uninorm; representable uninorm; aggregation functions; negation; contradictory information; uninorm; representable uninorm; aggregation functions; negation; contradictory information
UR - http://eudml.org/doc/271807
ER -

References

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