Nonlinear nonnegative multiregressions based on Choquet integrals

DOI10.1016/S0888-613X(00)00048-7zbMath0968.68154OpenAlexW1981177511WikidataQ126989259 ScholiaQ126989259MaRDI QIDQ1594841

Zhenyuan Wang, Jian Fang, Kebin Xu, Kwong-Sak Leung, Man-Leung Wong

Publication date: 29 January 2001

Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0888-613x(00)00048-7

zbMATH Keywords

Choquet integralsnonlinear nonnegative multiregression

Mathematics Subject Classification ID

Reasoning under uncertainty in the context of artificial intelligence (68T37)

Related Items (15)

Lower integrals and upper integrals with respect to nonadditive set functions ⋮ Stolarsky’s inequality for Choquet-like expectation ⋮ Modified quantum-behaved particle swarm optimization for parameters estimation of generalized nonlinear multi-regressions model based on Choquet integral with outliers ⋮ Particle swarm optimization for determining fuzzy measures from data ⋮ Generalizations of the Chebyshev-type inequality for Choquet-like expectation ⋮ TOPSIS and Choquet integral hybrid technique for solving MAGDM problems with interval type-2 fuzzy numbers ⋮ Discover dependency pattern among attributes by using a new type of nonlinear multiregression ⋮ A new nonlinear classifier with a penalized signed fuzzy measure using effective genetic algorithm ⋮ Fuzzy numbers and fuzzification of the Choquet integral ⋮ FUZZY OPERATOR TREES FOR MODELING RATING FUNCTIONS ⋮ Indeterminate integrals with respect to nonadditive measures ⋮ An approach based on combining Choquet integral and TOPSIS methods to uncertain MAGDM problems ⋮ Applying fuzzy measures and nonlinear integrals in data mining ⋮ Real-valued Choquet integrals with fuzzy-valued integrand ⋮ Real-valued Choquet integrals for set-valued mappings

Cites Work

• The autocontinuity of set function and the fuzzy integral
• Training the fuzzy integral
• Characterization and comparison of Sugeno and Choquet integrals
• A new type of nonlinear and the computational algorithm
• Choquet integrals and natural extensions of lower probabilities
• Non-monotonic fuzzy measures and the Choquet integral
• Theory of capacities
• PFB-Integrals and PFA-Integrals with Respect to Monotone Set Functions
• PAN-INTEGRALS WITH RESPECT TO IMPRECISE PROBABILITIES
• Using genetic algorithms to determine nonnegative monotone set functions for information fusion in environments with random perturbation
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