TY - JOUR
ID - 5410
TI - Alternative approaches to obtain t-norms and t-conorms on bounded lattices
JO - Iranian Journal of Fuzzy Systems
JA - IJFS
LA - en
SN - 1735-0654
AU - Asici, E.
AU - Mesiar, R.
AD - Department of Software Engineering, Faculty of Technology, Karadeniz Technical University,
61830 Trabzon, Turkey
AD - Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Radlinskeho, 11, 81005 Bratislava, Slovakia
Y1 - 2020
PY - 2020
VL - 17
IS - 4
SP - 121
EP - 138
KW - Bounded lattice
KW - triangular norm
KW - triangular conorm
KW - Ordinal sum
DO - 10.22111/ijfs.2020.5410
N2 - Triangular norms in the study of probabilistic metric spaces as a special kind of associative functions defined on the unit interval. These functions have found applications in many areas since then. In this study, we present new methods for constructing triangular norms and triangular conorms on an arbitrary bounded lattice under some constraints. Also, we give some illustrative examples for the clarity. Finally, we show that our construction methods can be generalized by induction to a modified ordinal sum for triangular norms and triangular conorms on an arbitrary bounded lattice, respectively.
UR - https://ijfs.usb.ac.ir/article_5410.html
L1 - https://ijfs.usb.ac.ir/article_5410_70ae4886f8ae63e19b1d2a4ec3717c74.pdf
ER -