Sugeno Integral over Generalized Semi-quantales
| Authors | |
|---|---|
| Year of publication | 2022 |
| Type | Article in Proceedings |
| Conference | Fuzzy Information Processing 2020 |
| MU Faculty or unit | |
| 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. |
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