Quasi-polynomial functions over bounded distributive lattices

DOI10.1007/S00010-010-0039-9zbMath1221.28022arXiv0909.3009OpenAlexW3105285160MaRDI QIDQ623428

Miguel Couceiro, Jean-Luc Marichal

Publication date: 14 February 2011

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.3009

zbMATH Keywords

functional equationdistributive latticeutility functionpolynomial functionaggregation functiondiscrete Sugeno integralquasi-polynomial function

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Structure and representation theory of distributive lattices (06D05) Systems of functional equations and inequalities (39B72) Set functions, measures and integrals with values in ordered spaces (28B15)

Related Items (9)

Pivotal decompositions of functions. ⋮ Discrete integrals based on comonotonic modularity ⋮ Associative polynomial functions over bounded distributive lattices ⋮ Computing Version Spaces in the Qualitative Approach to Multicriteria Decision Aid ⋮ Axiomatizations of quasi-Lovász extensions of pseudo-Boolean functions ⋮ Pseudo-polynomial Functions over Finite Distributive Lattices ⋮ \(k\)-maxitive Sugeno integrals as aggregation models for ordinal preferences ⋮ Decision-making with Sugeno integrals. Bridging the gap between multicriteria evaluation and decision under uncertainty ⋮ Pseudo-polynomial functions over finite distributive lattices

Cites Work

• Axiomatizations of quasi-polynomial functions on bounded chains
• Solving Chisini's functional equation
• Associative polynomial functions over bounded distributive lattices
• Weighted lattice polynomials
• Fuzzy measures and integrals. Theory and applications
• Characterizations of discrete Sugeno integrals as polynomial functions over distributive lattices
• Absorbent tuples of aggregation operators
• THE USE OF THE DISCRETE SUGENO INTEGRAL IN DECISION-MAKING: A SURVERY
• Representations and characterizations of polynomial functions on chains
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