The Choquet integral representability of comonotonically additive functionals in locally compact spaces

Jun Kawabe

Type: Article

Publication Date: 2012-08-14

Citations: 9

DOI: https://doi.org/10.1016/j.ijar.2012.08.002

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Locations

International Journal of Approximate Reasoning - View

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+	On linearity of pan-integral and pan-integrable functions space	2017	Yao Ouyang Jun Li Radko Mesiar
+	Real-valued Choquet integrals for set-valued mappings	2013	Yan Huang Congxin Wu
+ PDF Chat	Choquet Integral of Fuzzy-Number-Valued Functions: The Differentiability of the Primitive with respect to Fuzzy Measures and Choquet Integral Equations	2014	Zengtai Gong Li Chen Gang Duan
+	Nonadditive measures and nonlinear integrals —focusing on a theoretical aspect—	2021	Jun Kawabe
+	Nonlinear functionals on C(X) and Choquet integrals	2019	Marina Genad'evna Svistula
+	Comonotonic Random Sets and Its Additivity of Choquet Integrals	2017	Gaofeng Zong Zengjing Chen Faisal Shahzad
+	A note on the Choquet integral as a set function on a locally compact space	2021	Marina Genad'evna Svistula
+	Vector valued information measures and integration with respect to fuzzy vector capacities	2018	Enrique A. Sánchez‐Pérez Radosław Szwedek

Works Cited by This (14)

Action	Title	Year	Authors
+	Non-additive measure and integral	1994	Dieter Denneberg
+	Choquet integral and fuzzy measures on locally compact space	1998	Michio Sugeno Yasuo Narukawa Toshiaki Murofushi
+	Extension and representation of comonotonically additive functionals	2001	Yasuo Narukawa Toshiaki Murofushi Michio Sugeno
+	Sequentially continuous non-monotonic choquet integrals	2005	Yann Rébillé
+	Integral representation without additivity	1986	David Schmeidler
+	Non-monotonic fuzzy measures and the Choquet integral	1994	Toshiaki Murofushi Michio Sugeno Motoya Machida
+	Signed integral representations of comonotonic additive functionals	2011	Simone Cerreia‐Vioglio Fabio Maccheroni Mássimo Marinacci Luigi Montrucchio
+	Regular fuzzy measure and representation of comonotonically additive functional	2000	Yasuo Narukawa Toshiaki Murofushi Michio Sugeno
+	Boundedness and symmetry of comonotonically additive functionals	2001	Yasuo Narukawa Toshiaki Murofushi Michio Sugeno
+ PDF Chat	Integral representation of continuous comonotonically additive functionals	1998	Lin Zhou