Pettis integrability of fuzzy mappings with values in arbitrary Banach spaces
L.Di Piazza, V. Marraffa
TL;DR
This paper investigates the Pettis integrability of fuzzy mappings in arbitrary Banach spaces, establishing properties and conditions for scalarly integrable fuzzy mappings to be Pettis integrable.
Contribution
It introduces new conditions and properties for Pettis integrability of fuzzy mappings in Banach spaces, expanding understanding in this area.
Findings
Identifies properties of Pettis integrals of fuzzy mappings
Provides conditions for scalarly integrable fuzzy mappings to be Pettis integrable
Enhances theoretical understanding of fuzzy mapping integration
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.
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Taxonomy
TopicsFuzzy Systems and Optimization · Optimization and Variational Analysis · Functional Equations Stability Results