TY - JOUR
T1 - On the structure of involutive, contracting and expanding negations
AU - Batyrshin, Ildar
N1 - Funding Information:
1Research supported in part by RFBR Grant 02-01-00092. E-mail address: batyr@emntu.kcn.ru (I. Batyrshin).
PY - 2003/11/1
Y1 - 2003/11/1
N2 - Characterization and new methods of generation of bijective fuzzy negations (involutive, contracting and expanding negations) are done. The approach is based on a symmetry of involutive negations with respect to the line f(x)=x,x[0,1]. Contracting and expanding negations are given by suitable deflections from this symmetry.
AB - Characterization and new methods of generation of bijective fuzzy negations (involutive, contracting and expanding negations) are done. The approach is based on a symmetry of involutive negations with respect to the line f(x)=x,x[0,1]. Contracting and expanding negations are given by suitable deflections from this symmetry.
KW - Fuzzy logic
KW - Involution
KW - Noninvolutive negation
UR - http://www.scopus.com/inward/record.url?scp=0141754012&partnerID=8YFLogxK
U2 - 10.1016/S0165-0114(02)00507-9
DO - 10.1016/S0165-0114(02)00507-9
M3 - Artículo
SN - 0165-0114
VL - 139
SP - 661
EP - 672
JO - Fuzzy Sets and Systems
JF - Fuzzy Sets and Systems
IS - 3
ER -