首页|Ordinal sums of triangular norms on a bounded trellis
Ordinal sums of triangular norms on a bounded trellis
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NETL
NSTL
Elsevier
In this paper, we present ordinal sums of triangular norms on bounded trellises with one summand firstly by taking a right-transitive element as the left endpoint and a boolean AND-associative element as the right endpoint of the given interval sub-trellis. Also, the corresponding recursive construction of triangular norms on bounded trellises is shown. Meanwhile, we extend the result to the ordinal sums of triangular norms on bounded trellises with more summands including two cases that the given interval sub-trellises are contiguous or not. Particularly, we can naturally obtain two classes of triangular norms which are different from others on bounded lattices. And some illustrative examples are added for clarity.
Nankai University Chern Institute of Mathematics||Nankai University Key Laboratory of Pure Mathematics and Combinatorics Ministry of Education||Lab Infinite Dimens Hamiltonian Syst & Its Algorit||Nankai University Chern Institute of Mathematics||Nankai University Key Laboratory of Pure Mathematics and Combinatorics Ministry of Education
Dalian University of Technology School of Mathematical Sciences
Nankai University Chern Institute of Mathematics||Nankai University Key Laboratory of Pure Mathematics and Combinatorics Ministry of Education
NETL
NSTL
Elsevier
