, Volume 33, Issue 3, pp 371–388 | Cite as

Aggregation on a Finite Lattice

  • Melvin F. Janowitz
  • Sándor Radeleczki


In this paper a result of B. Leclerc and B. Monjardet concerning meet-projections in finite congruence-simple atomistic lattices is generalized. We prove that the result remains valid for any finite tolerance-simple lattice; moreover, we extend it to a type of subdirect product of such lattices, introducing the notion of a generalized oligarchy.


Algorithmic decision theory Consensus theory Oligarchy Tolerance Residuation theory Classification system 


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© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  1. 1.DIMACS Center/CoRE Building/4th FloorRutgers UniversityPiscatawayUSA
  2. 2.Mathematical InstituteUniversity of MiskolcMiskolc-EgyetemvárosHungary

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