{"title":"具有二阶不确定支配约束的投资组合选择","authors":"Xiaoxia Huang, Xue Meng, Xiaozhu Xu","doi":"10.1007/s10700-024-09433-x","DOIUrl":null,"url":null,"abstract":"<p>This paper proposes an uncertain mean-second order dominance model in the framework of uncertainty theory. By giving mean-expected utility equivalent, we show that the proposed model is suitable for rational and risk-averse investors because the portfolio produced by the model can give the investors the maximum expected return and in the meantime bring the investors expected utility value equal to or higher than the reference return no matter what specific utility functions the investors may take. By offering deterministic equivalents and comparing them with the uncertain mean-variance and uncertain mean-risk index models, we clarify the advantages of the proposed model, i.e., being easier to use and safer in investment. Furthermore, we give a numerical example and some experiments to illustrate the application of the model and the advantages of it.</p>","PeriodicalId":55131,"journal":{"name":"Fuzzy Optimization and Decision Making","volume":null,"pages":null},"PeriodicalIF":4.8000,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Portfolio selection with second order uncertain dominance constraint\",\"authors\":\"Xiaoxia Huang, Xue Meng, Xiaozhu Xu\",\"doi\":\"10.1007/s10700-024-09433-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>This paper proposes an uncertain mean-second order dominance model in the framework of uncertainty theory. By giving mean-expected utility equivalent, we show that the proposed model is suitable for rational and risk-averse investors because the portfolio produced by the model can give the investors the maximum expected return and in the meantime bring the investors expected utility value equal to or higher than the reference return no matter what specific utility functions the investors may take. By offering deterministic equivalents and comparing them with the uncertain mean-variance and uncertain mean-risk index models, we clarify the advantages of the proposed model, i.e., being easier to use and safer in investment. Furthermore, we give a numerical example and some experiments to illustrate the application of the model and the advantages of it.</p>\",\"PeriodicalId\":55131,\"journal\":{\"name\":\"Fuzzy Optimization and Decision Making\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":4.8000,\"publicationDate\":\"2024-09-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fuzzy Optimization and Decision Making\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://doi.org/10.1007/s10700-024-09433-x\",\"RegionNum\":2,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fuzzy Optimization and Decision Making","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1007/s10700-024-09433-x","RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE","Score":null,"Total":0}
Portfolio selection with second order uncertain dominance constraint
This paper proposes an uncertain mean-second order dominance model in the framework of uncertainty theory. By giving mean-expected utility equivalent, we show that the proposed model is suitable for rational and risk-averse investors because the portfolio produced by the model can give the investors the maximum expected return and in the meantime bring the investors expected utility value equal to or higher than the reference return no matter what specific utility functions the investors may take. By offering deterministic equivalents and comparing them with the uncertain mean-variance and uncertain mean-risk index models, we clarify the advantages of the proposed model, i.e., being easier to use and safer in investment. Furthermore, we give a numerical example and some experiments to illustrate the application of the model and the advantages of it.
期刊介绍:
The key objective of Fuzzy Optimization and Decision Making is to promote research and the development of fuzzy technology and soft-computing methodologies to enhance our ability to address complicated optimization and decision making problems involving non-probabilitic uncertainty.
The journal will cover all aspects of employing fuzzy technologies to see optimal solutions and assist in making the best possible decisions. It will provide a global forum for advancing the state-of-the-art theory and practice of fuzzy optimization and decision making in the presence of uncertainty. Any theoretical, empirical, and experimental work related to fuzzy modeling and associated mathematics, solution methods, and systems is welcome. The goal is to help foster the understanding, development, and practice of fuzzy technologies for solving economic, engineering, management, and societal problems. The journal will provide a forum for authors and readers in the fields of business, economics, engineering, mathematics, management science, operations research, and systems.