Sugeno Integral over Generalized Semi-quantales

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Authors	PASEKA Jan SOLOVJOVS Sergejs STEHLÍK Milan
Year of publication	2022
Type	Article in Proceedings
Conference	Fuzzy Information Processing 2020
MU Faculty or unit	Faculty of Science
Citation
Web	https://link.springer.com/chapter/10.1007/978-3-030-81561-5_9
Doi	http://dx.doi.org/10.1007/978-3-030-81561-5_9
Keywords	fuzzy transform; Sugeno integral
Description	This paper introduces an extension of the Sugeno integral over generalized semi-quantales. We prove that our generalized Sugeno integral is a scale invariant compatible aggregation function. Moreover, we show that the generalized Sugeno integral provides a one-to-one correspondence between the set of capacities and the set of aggregation functions, which additionally are quantale module homomorphisms.
Related projects:	Nové přístupy k agregačním operátorům v analýze a zpracování dat