The Möbius transform on symmetric ordered structures and its application to capacities on finite sets
type: Item
instance of: scholarly article
title: The Möbius transform on symmetric ordered structures and its application to capacities on finite sets
zbMATH Open document ID: 1054.06008
author: Michel Grabisch
published in: Discrete Mathematics
publication date: 2004-11-18T00:00:00Z
Mathematics Subject Classification ID: 06F25
Mathematics Subject Classification ID: 91B06
Mathematics Subject Classification ID: 06A07
zbMATH DE Number: 2116251
zbMATH Keywords: symmetry
zbMATH Keywords: non-associativity
zbMATH Keywords: inversion formula
zbMATH Keywords: Möbius transform
zbMATH Keywords: capacities
zbMATH Keywords: order preserving mappings
zbMATH Keywords: ordered algebraic structure
MaRDI profile type: Publication
full work available at URL: j.disc.2004.05.013
OpenAlex ID: W2003153132
cites work: Principles of combinatorics
cites work: Q5331549
cites work: Some characterizations of lower probabilities and other monotone capacities through the use of Möbius inversion
cites work: Theory of capacities
cites work: Fuzzy sets and systems. Theory and applications
cites work: Q4315286
cites work: \(k\)-order additive discrete fuzzy measures and their representation
cites work: The symmetric Sugeno integral.
cites work: Q4165427
cites work: A Simplified Bargaining Model for the n-Person Cooperative Game
cites work: Triangular norms
cites work: On Sugeno integral as an aggregation function
cites work: Aggregation and fusion of imperfect information
cites work: Q3995746
cites work: Q3202150
cites work: On the foundations of combinatorial theory I. Theory of M�bius Functions
cites work: Integral Representation Without Additivity
cites work: Q4131415
cites work: Advances in prospect theory: cumulative representation of uncertainty
cites work: \(\perp\)-decomposable measures and integrals for Archimedean t-conorms \(\perp\)
cites work: Fuzzy sets as a basis for a theory of possibility
DOI: 10.1016/J.DISC.2004.05.013
Recommended article: Q3775769
Recommended article: Q3375110
Recommended article: On some Menger algebras of multiplace transformations of ordered sets
Recommended article: Q3184648
Recommended article: Q3154307
Recommended article: Q3561344
Recommended article: An application of shift operators to ordered symmetric spaces
Recommended article: Q3054531
Recommended article: Q3782586
Recommended article: Q4671737
description: scientific article; zbMATH DE number 2116251