TY - GEN
T1 - Parameterized uninorm and absorbing norm and their application for logic design
AU - Rybalov, Alexander
AU - Kagan, Evgeny
AU - Yager, Ronald
PY - 2012
Y1 - 2012
N2 - The paper deals with the properties of the system of uninorm and absorbing norm, and their application for logic design. In particular, the norms are specified by the use of a novel symmetric generating function, and are considered as operators of a non-distributive algebraic system. It is demonstrated that from the logical point of view, the absorbing norm provides a novel fuzzy negated xor operator, while the uninorm provides both fuzzy and and or operators, and determines fuzzy not operator. On the basis of the considered properties of the norms, the fuzzy T-flip-flop and JK-flip-flop are defined and their actions are demonstrated.
AB - The paper deals with the properties of the system of uninorm and absorbing norm, and their application for logic design. In particular, the norms are specified by the use of a novel symmetric generating function, and are considered as operators of a non-distributive algebraic system. It is demonstrated that from the logical point of view, the absorbing norm provides a novel fuzzy negated xor operator, while the uninorm provides both fuzzy and and or operators, and determines fuzzy not operator. On the basis of the considered properties of the norms, the fuzzy T-flip-flop and JK-flip-flop are defined and their actions are demonstrated.
KW - Fuzzy logic
KW - absorbing norm
KW - logic design
KW - non-distributivity
KW - uninorm
UR - http://www.scopus.com/inward/record.url?scp=84871991812&partnerID=8YFLogxK
U2 - 10.1109/EEEI.2012.6377125
DO - 10.1109/EEEI.2012.6377125
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AN - SCOPUS:84871991812
SN - 9781467346801
T3 - 2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012
BT - 2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012
T2 - 2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012
Y2 - 14 November 2012 through 17 November 2012
ER -