Abstract
Introducing the notion of Boolean-valued Sugeno integral and applying it to a particular Boolean Algebra defined over the set of special binary matrices, and defining a mapping which takes these matrices into real numbers from the unit interval, we can prove that the classical integral of a function taking a finite probability space into the unit interval can be defined by the value which the mapping in question ascribes to the corresponding value of the Boolean-valued Sugeno integral.
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Kramosil, I. (1999). Boolean-like Interpretation of Sugeno Integral. In: Hunter, A., Parsons, S. (eds) Symbolic and Quantitative Approaches to Reasoning and Uncertainty. ECSQARU 1999. Lecture Notes in Computer Science(), vol 1638. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48747-6_23
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DOI: https://doi.org/10.1007/3-540-48747-6_23
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