Pseudo-additive measures and integrals
type: Item
instance of: scholarly article
title: Pseudo-additive measures and integrals
zbMATH Open document ID: 0611.28010
DOI: 10.1016/0022-247X(87)90354-4
author: Michio Sugeno
author: Toshiaki Murofushi
published in: Journal of Mathematical Analysis and Applications
publication date: 1987-01-01T00:00:00Z
review text: We suggest pseudo-additive measures based on a pseudo-addition and discuss integrals with respect to pseudo-additive measures. A pseudo- additive measure is a special type of fuzzy measures. To define an integral, a multiplication corresponding to a pseudo-addition is introduced. The resulting integral is an extension of the Lebesgue integral. In this context, Radon-Nikodým-like theorems are shown.
Mathematics Subject Classification ID: 28E10
zbMATH DE Number: 3987611
zbMATH Keywords: integrals with respect to pseudo-additive measures
zbMATH Keywords: fuzzy measures
zbMATH Keywords: extension of the Lebesgue integral
zbMATH Keywords: Radon-Nikodým-like theorems
MaRDI profile type: Publication
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full work available at URL: 0022-247x(87)90354-4
OpenAlex ID: W1992786123
description: scientific article; zbMATH DE number 3987611