Asymmetric integral as a limit of generated Choquet integrals based on absolutely monotone real set functions
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Cited by (16)
A unified approach to the monotone integral-based premium principles under the CPT theory
2020, Fuzzy Sets and SystemsJensen type inequality for the bipolar pseudo-integrals
2020, Fuzzy Sets and SystemsCitation Excerpt :Section 5 contains some concluding remarks. Due to the discrete pseudo-integral involves two operations, symmetric pseudo-addition and symmetric pseudo-multiplication, we first recall notions of these operations [11,15,16,30,31], then the definitions of signed ⊕-measures and bi-capacities are given [13,14,20,21,29]. The following proposition was proved in [47].
Discrete bipolar pseudo-integrals
2018, Information SciencesCitation Excerpt :On the other hand, the discrete bipolar pseudo-integral (Case II) is connected to the Shilkret-like integral introduced in [31], while (Case I) is related to the asymmetric generated Choquet integral defined in [30], however with respect to different types of set functions on the symmetric intervals.
Mathematical Foundation of Artificial Intelligence
2021, Studies in Computational IntelligenceJensen type inequality for the bipolar Shilkret and Sugeno integrals
2019, SISY 2019 - IEEE 17th International Symposium on Intelligent Systems and Informatics, ProceedingsThe bipolar Choquet g-integrals
2019, SISY 2019 - IEEE 17th International Symposium on Intelligent Systems and Informatics, Proceedings
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