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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2008 Volume 83, Issue 3, Pages 439–460 (Mi mzm4528)
This article is cited in 13 papers

Transformation Theorems for Extended Lower and Upper Sugeno Integrals

G. G. Sirbiladze

Tbilisi Ivane Javakhishvili State University, Institute of Computer Science

Abstract: In this paper, we consider the main properties of extended extremal fuzzy measures and give several versions of their representation. We prove several transformation theorems for extended lower and upper Sugeno integrals.

Keywords: Sugeno integral, transformation theorem, fuzzy integral, fuzzy measure, extremal fuzzy measure, Borel sigma-algebra, extremal measure space.

UDC: 517.987.1+517.987.4

Received: 12.05.2004

DOI: 10.4213/mzm4528


 English version: Mathematical Notes, 2008, 83:3, 399–419

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© Steklov Math. Inst. of RAS, 2024