A Necessary and Sufficient Condition for m-Valued Majority Functions

Yutaka HATA  Kyoichi NAKASHIMA  Kazuharu YAMATO  

IEICE TRANSACTIONS (1976-1990)   Vol.E70   No.8   pp.715-718
Publication Date: 1987/08/25
Online ISSN: 
Print ISSN: 0000-0000
Type of Manuscript: LETTER
Category: Automaton, Language and Theory of Computing

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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.