Title :
On multiple-valued logic functions monotonic with respect to ambiguity
Author :
Nakashima, Kyoichi ; Takagi, Noboru
Author_Institution :
Dept. of Electron. & Inf., Toyama Prefectural Univ., Japan
Abstract :
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
Keywords :
many-valued logics; ambiguity; logic expressions; multiple-valued logic functions; necessary and sufficient condition; p-valued logic functions; partial-ordering relation; truth values; unary operators; Algebra; Fuzzy logic; Informatics; Logic functions; Multivalued logic; Sufficient conditions;
Conference_Titel :
Multiple-Valued Logic, 1992. Proceedings., Twenty-Second International Symposium on
Conference_Location :
Sendai
Print_ISBN :
0-8186-2680-1
DOI :
10.1109/ISMVL.1992.186801
