An interpretation of fuzzy measures and the Choquet integral as an integral with respect to a fuzzy measure
type: Item
instance of: scholarly article
title: An interpretation of fuzzy measures and the Choquet integral as an integral with respect to a fuzzy measure
zbMATH Open document ID: 0662.28015
DOI: 10.1016/0165-0114(89)90194-2
author: Toshiaki Murofushi
author: Michio Sugeno
published in: Fuzzy Sets and Systems
publication date: 1989-01-01T00:00:00Z
review text: In this paper the non-additivity of Sugeno's fuzzy measure is interpreted in terms of addition and the rationality of the Choquet integral is discussed. It is pointed out that a fuzzy measure on a set X expresses the interaction between the subsets of X and can be represented by an additive measure. It is shown through concrete examples that the Choquet integral is reasonable as an integral with respect to a fuzzy measure. It is also found that the Choquet integral is closely related with the representation of a fuzzy measure.
Mathematics Subject Classification ID: 28E10
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 4081890
zbMATH Keywords: non-additivity of Sugeno's fuzzy measure
zbMATH Keywords: Choquet integral
zbMATH Keywords: representation of a fuzzy measure
MaRDI profile type: Publication
full work available at URL: 0165-0114(89)90194-2
OpenAlex ID: W2031391348
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description: scientific article; zbMATH DE number 4081890