Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2010; 25(1): 37-49

Printed March 1, 2010

https://doi.org/10.4134/CKMS.2010.25.1.37

Copyright © The Korean Mathematical Society.

Generalized fuzzy number valued Bartle integrals

Chun-Kee Park

Kangwon National University

Abstract

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In this paper we introduce the integration of scalar valued functions with respect to a generalized fuzzy number measure which we call the generalized fuzzy number valued Bartle integral. We first establish some properties of the generalized fuzzy number measures and then study the generalized fuzzy number valued Bartle integrals.

Keywords: set valued measure, generalized fuzzy number measure, set valued Bartle integral, generalized fuzzy number valued Bartle integral

MSC numbers: 26A39, 28B05, 28E10, 46G10

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