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Universal Integrals Based on Level Dependent Capacities

Universal Integrals Based on Level Dependent Capacities,Erich-peter Klement,Anna Kolesárová,Radko Mesiar,Andrea Stupnanová

Universal Integrals Based on Level Dependent Capacities  
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Three different types of universal integral based on level dependent capacities are introduced and discussed. Two ex- tremal types are based on Caratheodory's idea of inner and outer measures, while the third type is introduced for copula-based univer- sal integrals only. Keywords— Choquet integral, Copula, Fuzzy measure, Level de- pendent capacities, Sugeno integral, Universal integral.
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