ON THE DEBREU INTEGRAL OF FUZZY MAPPINGS IN BANACH SPACES

Park, Chun-Kee; Park, Chun-Kee

P-ISSN1226-0657
E-ISSN2287-6081
KCI

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Vol.16 No.3

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ON THE DEBREU INTEGRAL OF FUZZY MAPPINGS IN BANACH SPACES

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2009, v.16 no.3, pp.315-326

Park, Chun-Kee

Park,, C. (2009). ON THE DEBREU INTEGRAL OF FUZZY MAPPINGS IN BANACH SPACES. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 16(3), 315-326.

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Abstract

In this paper, we introduce Debreu integral of fuzzy mappings in Banach spaces in terms of the Debreu integral of set-valued mappings, investigate properties of Debreu integral of fuzzy mappings in Banach spaces and obtain the convergence theorem for Debreu integral of fuzzy mappings in Banach spaces.

keywords: set-valued mapping, fuzzy mapping, Debreu integral

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Article Contents

Vol.16 No.3

ON THE DEBREU INTEGRAL OF FUZZY MAPPINGS IN BANACH SPACES

Abstract

Reference

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics