Abstract
In this paper, construction methods of overlap and grouping functions on complete lattices via complete homomorphisms and complete 0L,1L-endomorphisms are investigated. At first, we propose the notion of O-generator triple of overlap functions. Then, properties such as (α,B,C)-migrativity, (B,C)-homogeneity, idempotency and cancellation law for the overlap functions obtained by such generator triples are discussed. Finally, we give an analogous discussion on grouping functions on complete lattices.
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