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On multiple-valued logic functions monotonic with respect to ambiguity

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2 Author(s)
Nakashima, K. ; Dept. of Electron. & Inf., Toyama Prefectural Univ., Japan ; Takagi, N.

The authors define a partial-ordering relation with respect to ambiguity with the greatest element 1/2 and minimal elements 0, 1 in the set of truth values V={0,1/(p-1),. . ., 1/2,. . ., ( p-2)/(p-1), 1}, and the p-valued logic functions monotonic with respect to ambiguity, based on this ordering relation. A necessary and sufficient condition for p-valued logic functions to be monotonic with respect to ambiguity is presented along with the proofs, and their logic expressions using unary operators defined in the partial-ordering relation are provided

Published in:

Multiple-Valued Logic, 1992. Proceedings., Twenty-Second International Symposium on

Date of Conference:

27-29 May 1992