A note on the idempotent functions with respect to pseudo-convolution. (English) Zbl 0953.28012

Summary: A general notion of pseudo-convolution based on pseudo-arithmetical operations is recalled. The idempotents with respect to pseudo-convolutions are investigated. Complete characterization of idempotents with respect to pseudo-convolutions based on the generalized Sugeno integral is given. Several other cases based on the idempotent pseudo-additions are studied.


28E10 Fuzzy measure theory
26E50 Fuzzy real analysis
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