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Pettis integrability of fuzzy mappings with values in arbitrary Banach spaces

2017

Abstract In this paper we study the Pettis integral of fuzzy mappings in arbitrary Banach spaces. We present some properties of the Pettis integral of fuzzy mappings and we give conditions under which a scalarly integrable fuzzy mapping is Pettis integrable.

Pettis integralPure mathematicsFuzzy mappingMathematics::Functional AnalysisFuzzy Pettis integral generalized fuzzy number measure fuzzy weak integrabilityIntegrable systemMathematics::General MathematicsGeneral Mathematics010102 general mathematicsBanach space02 engineering and technology01 natural sciencesFuzzy logicFunctional Analysis (math.FA)Mathematics - Functional Analysis0202 electrical engineering electronic engineering information engineeringFOS: MathematicsMathematics::Metric Geometry020201 artificial intelligence & image processingComputingMethodologies_GENERAL0101 mathematicsMathematics
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