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Fuzzy Optimization and Decision Making最新文献

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Fuzzy tangent line to a fuzzy circle 模糊圆的模糊切线
IF 4.7 2区 计算机科学
Fuzzy Optimization and Decision Making Pub Date : 2024-05-24 DOI: 10.1007/s10700-024-09424-y
R. Manríquez, C. Carvajal, E. Cabrera
{"title":"Fuzzy tangent line to a fuzzy circle","authors":"R. Manríquez, C. Carvajal, E. Cabrera","doi":"10.1007/s10700-024-09424-y","DOIUrl":"https://doi.org/10.1007/s10700-024-09424-y","url":null,"abstract":"","PeriodicalId":55131,"journal":{"name":"Fuzzy Optimization and Decision Making","volume":null,"pages":null},"PeriodicalIF":4.7,"publicationDate":"2024-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141101492","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Higher-order derivative of uncertain process and higher-order uncertain differential equation 不确定过程的高阶导数和高阶不确定微分方程
IF 4.7 2区 计算机科学
Fuzzy Optimization and Decision Making Pub Date : 2024-04-08 DOI: 10.1007/s10700-024-09422-0
Kaixi Zhang, Baoding Liu
{"title":"Higher-order derivative of uncertain process and higher-order uncertain differential equation","authors":"Kaixi Zhang, Baoding Liu","doi":"10.1007/s10700-024-09422-0","DOIUrl":"https://doi.org/10.1007/s10700-024-09422-0","url":null,"abstract":"<p>This paper initializes higher-order uncertain calculus that deals with higher-order differentiation and multiple integration of uncertain process based on uncertainty theory. Fubini theorem and fundamental theorem of higher-order uncertain calculus are derived. Finally, this paper rigorously defines higher-order uncertain differential equations and introduces some analytic methods for solving these equations.</p>","PeriodicalId":55131,"journal":{"name":"Fuzzy Optimization and Decision Making","volume":null,"pages":null},"PeriodicalIF":4.7,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140587736","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Uncertain nonlinear time series analysis with applications to motion analysis and epidemic spreading 不确定非线性时间序列分析在运动分析和流行病传播中的应用
IF 4.7 2区 计算机科学
Fuzzy Optimization and Decision Making Pub Date : 2024-03-23 DOI: 10.1007/s10700-024-09421-1
Jinsheng Xie, Waichon Lio
{"title":"Uncertain nonlinear time series analysis with applications to motion analysis and epidemic spreading","authors":"Jinsheng Xie, Waichon Lio","doi":"10.1007/s10700-024-09421-1","DOIUrl":"https://doi.org/10.1007/s10700-024-09421-1","url":null,"abstract":"<p>Uncertain nonlinear time series analysis is a set of statistical techniques that use uncertainty theory to predict future values via nonlinear dynamics based on the previous observations. By assuming that the disturbance term is an uncertain variable, an uncertain nonlinear time series model is derived in this paper. In addition, this paper presents a method to estimate unknown parameters in an uncertain nonlinear time series model. Finally, some real examples (motion analysis and epidemic spreading) are provided to illustrate uncertain nonlinear time series analysis. As a result, it is shown that the uncertain nonlinear time series model may provide higher forecast accuracy than linear one.</p>","PeriodicalId":55131,"journal":{"name":"Fuzzy Optimization and Decision Making","volume":null,"pages":null},"PeriodicalIF":4.7,"publicationDate":"2024-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140197512","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A framework of distributionally robust possibilistic optimization 分布稳健的可能性优化框架
IF 4.7 2区 计算机科学
Fuzzy Optimization and Decision Making Pub Date : 2024-02-07 DOI: 10.1007/s10700-024-09420-2
Romain Guillaume, Adam Kasperski, Paweł Zieliński
{"title":"A framework of distributionally robust possibilistic optimization","authors":"Romain Guillaume, Adam Kasperski, Paweł Zieliński","doi":"10.1007/s10700-024-09420-2","DOIUrl":"https://doi.org/10.1007/s10700-024-09420-2","url":null,"abstract":"<p>In this paper, an optimization problem with uncertain constraint coefficients is considered. Possibility theory is used to model the uncertainty. Namely, a joint possibility distribution in constraint coefficient realizations, called scenarios, is specified. This possibility distribution induces a necessity measure in a scenario set, which in turn describes an ambiguity set of probability distributions in a scenario set. The distributionally robust approach is then used to convert the imprecise constraints into deterministic equivalents. Namely, the left-hand side of an imprecise constraint is evaluated by using a risk measure with respect to the worst probability distribution that can occur. In this paper, the Conditional Value at Risk is used as the risk measure, which generalizes the strict robust, and expected value approaches commonly used in literature. A general framework for solving such a class of problems is described. Some cases which can be solved in polynomial time are identified.</p>","PeriodicalId":55131,"journal":{"name":"Fuzzy Optimization and Decision Making","volume":null,"pages":null},"PeriodicalIF":4.7,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139769585","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Nonparametric uncertain time series models: theory and application in brent crude oil spot price analysis 非参数不确定时间序列模型：理论及在布伦特原油现货价格分析中的应用
IF 4.7 2区 计算机科学
Fuzzy Optimization and Decision Making Pub Date : 2024-02-04 DOI: 10.1007/s10700-024-09419-9
Yi Zhang, Jinwu Gao
{"title":"Nonparametric uncertain time series models: theory and application in brent crude oil spot price analysis","authors":"Yi Zhang, Jinwu Gao","doi":"10.1007/s10700-024-09419-9","DOIUrl":"https://doi.org/10.1007/s10700-024-09419-9","url":null,"abstract":"","PeriodicalId":55131,"journal":{"name":"Fuzzy Optimization and Decision Making","volume":null,"pages":null},"PeriodicalIF":4.7,"publicationDate":"2024-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139683191","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Partial derivatives of uncertain fields and uncertain partial differential equations 不确定域和不确定偏微分方程的偏导数
IF 4.7 2区 计算机科学
Fuzzy Optimization and Decision Making Pub Date : 2023-11-20 DOI: 10.1007/s10700-023-09417-3
Tingqing Ye
{"title":"Partial derivatives of uncertain fields and uncertain partial differential equations","authors":"Tingqing Ye","doi":"10.1007/s10700-023-09417-3","DOIUrl":"https://doi.org/10.1007/s10700-023-09417-3","url":null,"abstract":"<p>Multivariate uncertain calculus is a branch of mathematics that deals with differentiation and integration of uncertain fields based on uncertainty theory. This paper defines partial derivatives of uncertain fields for the first time by putting forward the concept of Liu field. Then the fundamental theorem, chain rule and integration by parts of multivariate uncertain calculus are derived. Finally, this paper presents an uncertain partial differential equation, and gives its integral form.</p>","PeriodicalId":55131,"journal":{"name":"Fuzzy Optimization and Decision Making","volume":null,"pages":null},"PeriodicalIF":4.7,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138527256","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On uncertain partial differential equations 不确定偏微分方程
IF 4.7 2区 计算机科学
Fuzzy Optimization and Decision Making Pub Date : 2023-11-19 DOI: 10.1007/s10700-023-09418-2
Yuanguo Zhu
{"title":"On uncertain partial differential equations","authors":"Yuanguo Zhu","doi":"10.1007/s10700-023-09418-2","DOIUrl":"https://doi.org/10.1007/s10700-023-09418-2","url":null,"abstract":"<p>Uncertain partial differential equation (UPDE) was introduced in literature. But the solution of a UPDE was not defined well. In this article, we will rigorously give a suitable concept of a UPDE and define its solution by an integral equation. Then, some examples are given to show the rationality of the definition. Uncertain heat conduction equation is presented as an application of UPDE. For those UPDEs having no analytic solutions, <span>(alpha)</span>-path method is introduced to obtain the inverse uncertainty distributions of solutions to UPDEs.</p>","PeriodicalId":55131,"journal":{"name":"Fuzzy Optimization and Decision Making","volume":null,"pages":null},"PeriodicalIF":4.7,"publicationDate":"2023-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138527220","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A comparative study on precision of pairwise comparison matrices 两两比较矩阵精度的比较研究
2区 计算机科学
Fuzzy Optimization and Decision Making Pub Date : 2023-11-03 DOI: 10.1007/s10700-023-09416-4
Bice Cavallo, Jir̆í Mazurek, Jaroslav Ramík
{"title":"A comparative study on precision of pairwise comparison matrices","authors":"Bice Cavallo, Jir̆í Mazurek, Jaroslav Ramík","doi":"10.1007/s10700-023-09416-4","DOIUrl":"https://doi.org/10.1007/s10700-023-09416-4","url":null,"abstract":"Abstract Pairwise comparisons have been a long-standing technique for comparing alternatives/criteria and their role has been pivotal in the development of modern decision-making methods such as the Analytic Hierarchy/Network Process (AHP/ANP), the Best-Worst method (BWM), PROMETHEE and many others. Pairwise comparisons can be performed within several frameworks such as multiplicative, additive and fuzzy representations of preferences, which are particular instances of a more general framework based on Abelian linearly ordered groups. Though multiplicative, additive and fuzzy representations of preferences are widely used in practice, it is unknown whether decision makers are equally precise in the three aforementioned representations when they measure objective data. Therefore, the aim of this paper is to design, carry out and analyse an experiment with over 200 respondents (undergraduate university students) from two countries, Czechia and Italy, to compare precision of the respondents in all three representations. In the experiment, respondents pairwise compared (by approximation) the areas of four geometric figures and then, the imprecision of their assessments was measured by computing the distance with the exact pairwise comparisons. We grouped the respondents in such a way that each participant was allowed to deal with a unique type of representation. The outcomes of the experiment indicate that the multiplicative approach is the most precise.","PeriodicalId":55131,"journal":{"name":"Fuzzy Optimization and Decision Making","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135818602","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Solution method and parameter estimation of uncertain partial differential equation with application to China’s population 不确定偏微分方程的求解方法和参数估计及其在中国人口中的应用
IF 4.7 2区 计算机科学
Fuzzy Optimization and Decision Making Pub Date : 2023-08-01 DOI: 10.1007/s10700-023-09415-5
Lu Yang, Yang Liu
{"title":"Solution method and parameter estimation of uncertain partial differential equation with application to China’s population","authors":"Lu Yang, Yang Liu","doi":"10.1007/s10700-023-09415-5","DOIUrl":"https://doi.org/10.1007/s10700-023-09415-5","url":null,"abstract":"","PeriodicalId":55131,"journal":{"name":"Fuzzy Optimization and Decision Making","volume":null,"pages":null},"PeriodicalIF":4.7,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43010805","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
A survey on uncertain graph and uncertain network optimization 不确定图与不确定网络优化研究综述
IF 4.7 2区 计算机科学
Fuzzy Optimization and Decision Making Pub Date : 2023-06-08 DOI: 10.1007/s10700-023-09413-7
Jin Peng, Bo Zhang, Lin Chen, Hui Li
{"title":"A survey on uncertain graph and uncertain network optimization","authors":"Jin Peng, Bo Zhang, Lin Chen, Hui Li","doi":"10.1007/s10700-023-09413-7","DOIUrl":"https://doi.org/10.1007/s10700-023-09413-7","url":null,"abstract":"","PeriodicalId":55131,"journal":{"name":"Fuzzy Optimization and Decision Making","volume":null,"pages":null},"PeriodicalIF":4.7,"publicationDate":"2023-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49462300","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
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