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Two integrals and some modified versions — Critical remarks

✍ Scribed by Siegfried Weber

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
480 KB
Volume
20
Category
Article
ISSN
0165-0114

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✦ Synopsis

The aim of this paper is to discuss different constructions of integrals (Sections 3 and 4) based on I-decomposable measures (Section 1). According to the classification of the continuous t-conorms I in essentially two types namely v and Archimedean t-conorms, there exist mainly two types of integrals namely the constructions of Sugeno (Section 3) and of Weber (Section 4). Further constructions corresponding to the Archimedean case result to be special cases or not well defined (Section 4). In all cases a crucial property is some restricted distribution law for the pair (I, 0) with an appropriate operation 0 (Section 2). Some applications shall illustrate the use of the two integrals (Section 5).

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