Fuzzy integrals and conditional fuzzy measures
Fuzzy Sets and Systems
Generalized transformed t-conorm integral and multifold integral
Fuzzy Sets and Systems
A universal integral as common frame for choquet and Sugeno integral
IEEE Transactions on Fuzzy Systems
General Chebyshev type inequalities for universal integral
Information Sciences: an International Journal
On the axiomatization of some classes of discrete universal integrals
Knowledge-Based Systems
Liapunov-type inequality for universal integral
International Journal of Intelligent Systems
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Knowledge-Based Systems
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The aim of this paper is to discuss different constructions of integrals (Sections 3 and 4) based on @?-decomposable measures (Section 1). According to the classification of the continuous t-conorms @? 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 (@?, ) with an appropriate operation(Section 2). Some applications shall illustrate the use of the two integrals (Section 5).