On Join-Dense Subsets of Certain Families of Aggregation Functions

Several important classes of aggregation functions defined on a bounded lattice form with respect to the pointwise operations join and meet, respectively. The structure such is usually very complex; thus, it useful characterize them by some appropriate sets functions. In this paper, we focus three functions, namely all idempotent Sugeno integrals (defined distributive lattices) their lattices means join-dense subsets. Moreover, minimality these discussed.