On some claims related to Choquet integral risk measures

被引:0
作者
Hung T. Nguyen
Uyen H. Pham
Hien D. Tran
机构
[1] New Mexico State University,Department of Mathematical Sciences
[2] Central Michigan University,Department of Mathematics
来源
Annals of Operations Research | 2012年 / 195卷
关键词
Choquet integral; Coherent risk measures; Distortion functions; Lévy processes; Martingale measures; Option pricing; Risk neutral probabilities; Spectral risk measures;
D O I
暂无
中图分类号
学科分类号
摘要
We examine two important claims by S.S. Wang and J. Treussard concerning the use of distortion functions as a universal tool in pricing financial and insurance risks, and the use of risk neutral probabilities in evaluating risks, respectively. Their claims seem reasonable only in the classical framework of Black–Scholes model, but not convincing in more extended and realistic models such as Lévy processes.
引用
收藏
页码:5 / 31
页数:26
相关论文
共 50 条
[21]   Cardiovascular Disease Risk Assessment Using the Choquet Integral [J].
Anzilli, Luca ;
Giove, Silvio .
FUZZY LOGIC AND SOFT COMPUTING APPLICATIONS, WILF 2016, 2017, 10147 :45-53
[22]   Decision making over necessity measures through the Choquet integral criterion [J].
Rebille, Yann .
FUZZY SETS AND SYSTEMS, 2006, 157 (23) :3025-3039
[23]   Choquet integral-based measures of economic welfare and species diversity [J].
Beliakov, Gleb ;
James, Simon .
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2022, 37 (04) :2849-2867
[24]   Conditional aggregation operators defined by the Choquet integral and the Sugeno integral with respect to general fractal measures [J].
Doria, Serena ;
Selmi, Bilel .
FUZZY SETS AND SYSTEMS, 2024, 477
[25]   On the completion mechanism produced by the Choquet integral on some decision strategies [J].
Labreuche, Christophe .
PROCEEDINGS OF THE JOINT 2009 INTERNATIONAL FUZZY SYSTEMS ASSOCIATION WORLD CONGRESS AND 2009 EUROPEAN SOCIETY OF FUZZY LOGIC AND TECHNOLOGY CONFERENCE, 2009, :567-572
[26]   Derived Fuzzy Measures and Derived Choquet Integrals With Some Properties [J].
Jin, Lesheng ;
Mesiar, Radko ;
Yager, Ronald R. .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2021, 29 (05) :1320-1324
[27]   Choquet Integral on Multisets [J].
Narukawa, Yasuo ;
Torra, Vicenc .
INFORMATION PROCESSING AND MANAGEMENT OF UNCERTAINTY IN KNOWLEDGE-BASED SYSTEMS, PT I, 2014, 442 :276-283
[28]   An Integrated Model of BWM and Choquet Integral for Determining Fuzzy Measures in Interacting Criteria [J].
Maleki, Nazanin ;
Gholamian, Mohammad Reza ;
Yaghoubi, Saeed .
INTERNATIONAL JOURNAL OF INFORMATION TECHNOLOGY & DECISION MAKING, 2022, 21 (03) :1061-1086
[29]   Geometrically Motivated Fuzzy Measures and Choquet Integral for Multi-Look Fusion [J].
Alvey, Brendan J. ;
Anderson, Derek T. .
2023 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, FUZZ, 2023,
[30]   A COMPARISON ON CHOQUET INTEGRAL WITH RESPECT TO DIFFERENT INFORMATION-BASED FUZZY MEASURES [J].
Chang, Horng-Jinh ;
Liu, Hsiang-Chuan ;
Tseng, Shang-Wen ;
Chang, Fengming M. .
PROCEEDINGS OF 2009 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-6, 2009, :3161-+