After Qiao proposed the notions of CR-and CL-overlap functions on complete lattices,Wang and Hu studied ordinal sums of overlap functions on complete lattices.Based on these works,we extended interior and closure opera-tors to complete lattices and try to construct ordinal sums of CR-and CL-overlap functions on complete lattices under the help of interior opera tors(resp.closure operators)which are called k-ordinal sum(resp.c-ordinal sum).
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