The construction method of binary aggregation function is an interesting and meaningful research topic.Based on a given t-subnorm E on the subinterval of a bounded lattice,we propose a method to obtain t-subnorm Tλ,E on a bounded lattice L.This construction method can be generalized to another construction of t-subnorms applicable to any bounded lattice.Based on a given t-subconorm F on the subinterval of a bounded lattice,we propose a method to obtain t-subconorm Sλ,F on bounded lattices L.This construction method also can be generalized to another construction of t-subconorms applicable to any bounded lattice.It not only supplements the blank fields in the research on theconstruction methods of binary aggregation functions,but also provides a theoretical basis for further research on the construction methods of other binary aggregation functions.
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