Binary generating set of the clone of idempotent aggregation functions on bounded lattices

DOI10.1016/j.ins.2018.06.038zbMath1444.08002OpenAlexW2807981631WikidataQ129726388 ScholiaQ129726388MaRDI QIDQ2198250

Radomír Halaš, Jozef Pócs, Radko Mesiar, Zbyněk Kurač

Publication date: 9 September 2020

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2018.06.038

zbMATH Keywords

latticemedianaggregation functionmonotone functiongenerating set(monotone) clone

Mathematics Subject Classification ID

Structure theory of lattices (06B05) Operations and polynomials in algebraic structures, primal algebras (08A40) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items (6)

A fuzzy majority-based construction method for composed aggregation functions by using combination operator ⋮ Transfer-stable aggregation functions on finite lattices ⋮ On the minimality of some generating sets of the aggregation clone on a finite chain ⋮ Ordinal sums: from triangular norms to bi- and multivariate copulas ⋮ Transfer-stable means on finite chains ⋮ Menger systems of idempotent cyclic and weak near-unanimity multiplace functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A short introduction to clones.
• Associative polynomial functions over bounded distributive lattices
• On generating of idempotent aggregation functions on finite lattices
• On lattices with a smallest set of aggregation functions
• On the clone of aggregation functions on bounded lattices
• Characterizations of discrete Sugeno integrals as polynomial functions over distributive lattices
• Congruences and the discrete Sugeno integrals on bounded distributive lattices
• Absorbent tuples of aggregation operators
• Minimal clones -- a minicourse
• Function Algebras on Finite Sets

This page was built for publication: Binary generating set of the clone of idempotent aggregation functions on bounded lattices