Abstract
Structures of opposition, such as the hexagon and different cubes, derived from the square of opposition of ancient logic, have for more than a decade shown their interest in the analysis of various frameworks for the representation and processing of information (possibly pervaded with uncertainty). The use of a renewed and less constrained vision of the structures of opposition leads in this article to consider a general cube and a hypercube of opposition applicable to binary or gradual settings, which is here exemplified on Sugeno integrals and related integrals
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- 1.
Obviously, dealing with a ternary expression R(A, B, C), and h applying to argument C would lead to a natural and straightforward extension.
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Dubois, D., Prade, H., Rico, A. (2021). Towards a Tesseract of Sugeno Integrals. In: Vejnarová, J., Wilson, N. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2021. Lecture Notes in Computer Science(), vol 12897. Springer, Cham. https://doi.org/10.1007/978-3-030-86772-0_38
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