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Matematicheskie Zametki, 2008, Volume 83, Issue 3, Pages 439–460
DOI: https://doi.org/10.4213/mzm4528 (Mi mzm4528) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Transformation Theorems for Extended Lower and Upper Sugeno Integrals

G. G. Sirbiladze

Tbilisi Ivane Javakhishvili State University, Institute of Computer Science
Full-text PDF (537 kB) Citations (13)
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DOI: https://doi.org/10.4213/mzm4528
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.
Received: 12.05.2004
English version:
Mathematical Notes, 2008, Volume 83, Issue 3, Pages 399–419
DOI: https://doi.org/10.1134/S0001434608030103
Bibliographic databases:
UDC: 517.987.1+517.987.4
Language: Russian
Citation: G. G. Sirbiladze, “Transformation Theorems for Extended Lower and Upper Sugeno Integrals”, Mat. Zametki, 83:3 (2008), 439–460; Math. Notes, 83:3 (2008), 399–419
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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