k–ORDER ADDITIVE FUZZY MEASURES

DOI10.1142/S0218488599000489zbMath1113.28306MaRDI QIDQ3427856

Radko Mesiar

Publication date: 27 March 2007

Published in: International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems (Search for Journal in Brave)

zbMATH Keywords

Choquet integraladditivityMöbius transformk-order additive measure

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (15)

Fuzzy measures and generalized Möbius transform ⋮ \(k\)-additivity and \(\mathcal C\)-decomposability of bi-capacities and its integral ⋮ Super quantum measures on effect algebras with the Riesz decomposition properties ⋮ \((Max,\oplus)\)-transforms and genetic algorithms for fuzzy measure identification ⋮ \(k\)-maxitive fuzzy measures: a scalable approach to model interactions ⋮ Nonadditivity index and capacity identification method in the context of multicriteria decision making ⋮ Learning fuzzy measures from data: simplifications and optimisation strategies ⋮ Quantum measures on finite effect algebras with the Riesz decomposition properties ⋮ DC optimization for constructing discrete Sugeno integrals and learning nonadditive measures ⋮ Convergence theorems for monotone measures ⋮ Learning \(k\)-maxitive fuzzy measures from data by mixed integer programming ⋮ Unnamed Item ⋮ Residuated logics based on strict triangular norms with an involutive negation ⋮ On the generalized \(k\)-order additivity for absolutely monotone set functions ⋮ A DECOMPOSITION OF k-ADDITIVE CHOQUET AND k-MAXITIVE SUGENO INTEGRALS

Cites Work

• Allocations of probability
• Pseudo-additive measures and integrals
• \(k\)-order additive discrete fuzzy measures and their representation
• Generalizations of \(k\)-order additive discrete fuzzy measures
• Choquet-like integrals
• Pan-operations structure
• Theory of capacities

This page was built for publication: k–ORDER ADDITIVE FUZZY MEASURES