Characterizing isometries on the order polytope with an application to the theory of fuzzy measures

DOI10.1016/j.ins.2009.09.020zbMath1227.05035OpenAlexW2080730470MaRDI QIDQ845331

N. E. Zubov

Publication date: 28 January 2010

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

Full work available at URL: https://doi.org/10.1016/j.ins.2009.09.020

zbMATH Keywords

fuzzy measuresisometriesorder polytope\(p\)-symmetric measures

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Combinatorics of partially ordered sets (06A07) Fuzzy measure theory (28E10)

Related Items (9)

Order cones: a tool for deriving \(k\)-dimensional faces of cones of subfamilies of monotone games ⋮ An algorithm for finding the vertices of the \(k\)-additive monotone core ⋮ On distorted probabilities and \(m\)-separable fuzzy measures ⋮ Fuzzy logic-based generalized decision theory with imperfect information ⋮ On random generation of fuzzy measures ⋮ Minimals Plus: an improved algorithm for the random generation of linear extensions of partially ordered sets ⋮ On the structure of the \(k\)-additive fuzzy measures ⋮ Applying Young diagrams to 2-symmetric fuzzy measures with an application to general fuzzy measures ⋮ ON THE POLYTOPES OF BELIEF AND PLAUSIBILITY FUNCTIONS

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