A Necessary and Sufficient Condition for <I>m</I>-Valued Majority Functions

Yutaka HATA; Kyoichi NAKASHIMA; Kazuharu YAMATO

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Yutaka HATA, Kyoichi NAKASHIMA, Kazuharu YAMATO, "A Necessary and Sufficient Condition for m-Valued Majority Functions" in IEICE TRANSACTIONS on transactions, vol. E70-E, no. 8, pp. 715-718, August 1987, doi: .
Abstract: This letter shows that an m-valued majority function is realized by m-1 two-valued threshold functions with common weight vector. A necessary and sufficient condition for an m-valued logical function to be a majority function is provided by using the concept of asummability.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e70-e_8_715/_p

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@ARTICLE{e70-e_8_715,
author={Yutaka HATA, Kyoichi NAKASHIMA, Kazuharu YAMATO, },
journal={IEICE TRANSACTIONS on transactions},
title={A Necessary and Sufficient Condition for m-Valued Majority Functions},
year={1987},
volume={E70-E},
number={8},
pages={715-718},
abstract={This letter shows that an m-valued majority function is realized by m-1 two-valued threshold functions with common weight vector. A necessary and sufficient condition for an m-valued logical function to be a majority function is provided by using the concept of asummability.},
keywords={},
doi={},
ISSN={},
month={August},}

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TY - JOUR
TI - A Necessary and Sufficient Condition for m-Valued Majority Functions
T2 - IEICE TRANSACTIONS on transactions
SP - 715
EP - 718
AU - Yutaka HATA
AU - Kyoichi NAKASHIMA
AU - Kazuharu YAMATO
PY - 1987
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E70-E
IS - 8
JA - IEICE TRANSACTIONS on transactions
Y1 - August 1987
AB - This letter shows that an m-valued majority function is realized by m-1 two-valued threshold functions with common weight vector. A necessary and sufficient condition for an m-valued logical function to be a majority function is provided by using the concept of asummability.
ER -