首页 > 最新文献

Fuzzy Optimization and Decision Making最新文献

英文 中文
Stability analysis for uncertain nonlinear switched systems with infinite-time domain 无限时域不确定非线性切换系统的稳定性分析
IF 4.7 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2021-10-12 DOI: 10.1007/s10700-021-09372-x
Yadong Shu, Bo Li
{"title":"Stability analysis for uncertain nonlinear switched systems with infinite-time domain","authors":"Yadong Shu, Bo Li","doi":"10.1007/s10700-021-09372-x","DOIUrl":"https://doi.org/10.1007/s10700-021-09372-x","url":null,"abstract":"","PeriodicalId":55131,"journal":{"name":"Fuzzy Optimization and Decision Making","volume":"21 1","pages":"405 - 428"},"PeriodicalIF":4.7,"publicationDate":"2021-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48415839","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
Min–max programming problem with constraints of addition-min-product fuzzy relation inequalities 具有加法-最小积模糊关系不等式约束的最小最大规划问题
IF 4.7 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2021-07-30 DOI: 10.1007/s10700-021-09368-7
Qiu, Jianjun, Yang, Xiaopeng

In this paper, we study a new type of fuzzy relation system called fuzzy relational inequalities with addition-min-product composition operations to model a peer-to-peer (P2P) file sharing system. Some properties of this addition-min-product system are investigated. We then characterize the structure of the solution set. Furthermore, to reduce the network congestion and improve the stability of data transmission, a min–max programming problem with constraints of addition-min-product fuzzy relation inequalities is established and investigated. We divide this min–max programming problem into several subproblems with the constraint of a single equation. Based on the optimal solutions to these subproblems, we can solve the original fuzzy relation min–max programming problem. Two algorithms, with polynomial computational complexity, are developed to search for an optimal solution to our studied problem. The validity of the algorithms is examined through a numerical example.

本文研究了一类新的模糊关系系统,即带有加法-最小积组合运算的模糊关系不等式,用于建立点对点文件共享系统的模型。研究了该加法-最小积系统的一些性质。然后我们描述解集的结构。此外,为了减少网络拥塞,提高数据传输的稳定性,建立并研究了一个具有加法-最小积模糊关系不等式约束的最小最大规划问题。我们将这个最小最大规划问题分解为若干子问题,每个子问题都有一个方程的约束。基于这些子问题的最优解,我们可以求解原始模糊关系最小最大规划问题。本文提出了两种计算复杂度为多项式的算法来寻找问题的最优解。通过一个算例验证了算法的有效性。
{"title":"Min–max programming problem with constraints of addition-min-product fuzzy relation inequalities","authors":"Qiu, Jianjun, Yang, Xiaopeng","doi":"10.1007/s10700-021-09368-7","DOIUrl":"https://doi.org/10.1007/s10700-021-09368-7","url":null,"abstract":"<p>In this paper, we study a new type of fuzzy relation system called fuzzy relational inequalities with addition-min-product composition operations to model a peer-to-peer (P2P) file sharing system. Some properties of this addition-min-product system are investigated. We then characterize the structure of the solution set. Furthermore, to reduce the network congestion and improve the stability of data transmission, a min–max programming problem with constraints of addition-min-product fuzzy relation inequalities is established and investigated. We divide this min–max programming problem into several subproblems with the constraint of a single equation. Based on the optimal solutions to these subproblems, we can solve the original fuzzy relation min–max programming problem. Two algorithms, with polynomial computational complexity, are developed to search for an optimal solution to our studied problem. The validity of the algorithms is examined through a numerical example.</p>","PeriodicalId":55131,"journal":{"name":"Fuzzy Optimization and Decision Making","volume":"14 11","pages":""},"PeriodicalIF":4.7,"publicationDate":"2021-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138527218","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: 3
Multiple attribute decision-making method based on projection model for dual hesitant fuzzy set 基于投影模型的双犹豫模糊集多属性决策方法
IF 4.7 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2021-07-16 DOI: 10.1007/s10700-021-09366-9
Yan Ni, Hua Zhao, Zeshui Xu, Zeyan Wang

In the decision-making process, retaining the original data information has become a most crucial step. Dual hesitant fuzzy sets (DHFS), which can reflect the original membership degree and non-membership degree information given by the DMs, is a kind of new tool for the DMs to provide the original information as much as possible. In this paper, we focus on the decision- making problem by a projection model (Algorithm I) whose attribute values are given in the forms of dual hesitant fuzzy elements (DHFEs). In order to reflect the information of the data more accurately, we first divide the dual hesitant fuzzy decision matrix into membership degree matrix and non-membership degree matrix. Then we gain the virtual positive ideal solution from the membership degree matrix and the negative positive ideal solution from the non-membership degree matrix. And then the projection values from every solution to the virtual positive ideal solution and the negative positive ideal solution are calculated. In combination with the two projection values, the relative consistent degree is further calculated to rank all the alternatives. At the same time, in order to guarantee the rationality of the decision-making result, a variation coefficient method is developed to determine the weights of the attributes under dual hesitant fuzzy environment objectively. Finally, the existing algorithms (Algorithm II and Algorithm III, Algorithm IV, Algorithm V) are compared with our algorithm (Algorithm I). The comparison result shows that Algorithm I is a valuable tool for decision making.

在决策过程中,保留原始数据信息已成为最关键的一步。对偶犹豫模糊集(Dual犹豫fuzzy sets, DHFS)能够反映决策模型给出的原始隶属度和非隶属度信息,是决策模型尽可能多地提供原始信息的一种新工具。本文主要研究一种投影模型(算法1)的决策问题,该模型的属性值以双犹豫模糊元(DHFEs)形式给出。为了更准确地反映数据信息,我们首先将二元犹豫模糊决策矩阵分为隶属度矩阵和非隶属度矩阵。然后由隶属度矩阵得到虚正理想解,由非隶属度矩阵得到负正理想解。然后计算每个解到虚正理想解和负正理想解的投影值。结合两个投影值,进一步计算相对一致度,对所有备选方案进行排序。同时,为了保证决策结果的合理性,提出了一种变差系数法来客观确定双犹豫模糊环境下各属性的权重。最后,将现有算法(算法II、算法III、算法IV、算法V)与我们的算法(算法I)进行比较,结果表明算法I是一种有价值的决策工具。
{"title":"Multiple attribute decision-making method based on projection model for dual hesitant fuzzy set","authors":"Yan Ni, Hua Zhao, Zeshui Xu, Zeyan Wang","doi":"10.1007/s10700-021-09366-9","DOIUrl":"https://doi.org/10.1007/s10700-021-09366-9","url":null,"abstract":"<p>In the decision-making process, retaining the original data information has become a most crucial step. Dual hesitant fuzzy sets (DHFS), which can reflect the original membership degree and non-membership degree information given by the DMs, is a kind of new tool for the DMs to provide the original information as much as possible. In this paper, we focus on the decision- making problem by a projection model (Algorithm I) whose attribute values are given in the forms of dual hesitant fuzzy elements (DHFEs). In order to reflect the information of the data more accurately, we first divide the dual hesitant fuzzy decision matrix into membership degree matrix and non-membership degree matrix. Then we gain the virtual positive ideal solution from the membership degree matrix and the negative positive ideal solution from the non-membership degree matrix. And then the projection values from every solution to the virtual positive ideal solution and the negative positive ideal solution are calculated. In combination with the two projection values, the relative consistent degree is further calculated to rank all the alternatives. At the same time, in order to guarantee the rationality of the decision-making result, a variation coefficient method is developed to determine the weights of the attributes under dual hesitant fuzzy environment objectively. Finally, the existing algorithms (Algorithm II and Algorithm III, Algorithm IV, Algorithm V) are compared with our algorithm (Algorithm I). The comparison result shows that Algorithm I is a valuable tool for decision making.</p>","PeriodicalId":55131,"journal":{"name":"Fuzzy Optimization and Decision Making","volume":"21 5","pages":""},"PeriodicalIF":4.7,"publicationDate":"2021-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138527219","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: 11
Uncertain hypothesis test with application to uncertain regression analysis 不确定假设检验及其在不确定回归分析中的应用
IF 4.7 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2021-07-09 DOI: 10.1007/s10700-021-09365-w
Tingqing Ye, Baoding Liu
{"title":"Uncertain hypothesis test with application to uncertain regression analysis","authors":"Tingqing Ye, Baoding Liu","doi":"10.1007/s10700-021-09365-w","DOIUrl":"https://doi.org/10.1007/s10700-021-09365-w","url":null,"abstract":"","PeriodicalId":55131,"journal":{"name":"Fuzzy Optimization and Decision Making","volume":"21 1","pages":"157 - 174"},"PeriodicalIF":4.7,"publicationDate":"2021-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s10700-021-09365-w","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47900131","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: 47
Fuzzy chance-constrained data envelopment analysis: a structured literature review, current trends, and future directions 模糊机会约束数据包络分析:结构化文献综述、当前趋势和未来方向
IF 4.7 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2021-07-09 DOI: 10.1007/s10700-021-09364-x
P. Peykani, F. Hosseinzadeh lotfi, S. Sadjadi, A. Ebrahimnejad, Emran Mohammadi
{"title":"Fuzzy chance-constrained data envelopment analysis: a structured literature review, current trends, and future directions","authors":"P. Peykani, F. Hosseinzadeh lotfi, S. Sadjadi, A. Ebrahimnejad, Emran Mohammadi","doi":"10.1007/s10700-021-09364-x","DOIUrl":"https://doi.org/10.1007/s10700-021-09364-x","url":null,"abstract":"","PeriodicalId":55131,"journal":{"name":"Fuzzy Optimization and Decision Making","volume":"21 1","pages":"197 - 261"},"PeriodicalIF":4.7,"publicationDate":"2021-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s10700-021-09364-x","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44731779","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: 25
Type-2 fuzzy numbers made simple in decision making 决策中的2型模糊数
IF 4.7 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2021-07-06 DOI: 10.1007/s10700-021-09363-y
Bin Zhu, Peijia Ren
{"title":"Type-2 fuzzy numbers made simple in decision making","authors":"Bin Zhu, Peijia Ren","doi":"10.1007/s10700-021-09363-y","DOIUrl":"https://doi.org/10.1007/s10700-021-09363-y","url":null,"abstract":"","PeriodicalId":55131,"journal":{"name":"Fuzzy Optimization and Decision Making","volume":"21 1","pages":"175 - 195"},"PeriodicalIF":4.7,"publicationDate":"2021-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s10700-021-09363-y","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46145542","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: 6
An analytic solution for multi-period uncertain portfolio selection problem 多周期不确定投资组合问题的解析解
IF 4.7 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2021-06-26 DOI: 10.1007/s10700-021-09367-8
Bo Li, Yufei Sun, Kok Lay Teo

The return rates of risky assets in financial markets are usually assumed as random variables or fuzzy variables. For the ever-changing real asset market, this assumption may not always be satisfactory. Thus, it is sometimes more realistic to take the return rates as uncertain variables. However, for the existing works on multi-period uncertain portfolio selection problems, they do not find analytic optimal solutions. In this paper, we propose a method for deriving an analytic optimal solution to a multi-period uncertain portfolio selection problem. First, a new uncertain risk measure is defined to model the investment risk. Then, we formulate a bi-criteria optimization model, where the investment return is maximized, while the investment risk is minimized. On this basis, an equivalent transformation is presented to convert the uncertain bi-criteria optimization problem into an equivalent bi-criteria optimization problem. Then, by applying dynamic programming method, an analytic optimal solution is obtained. Finally, a numerical simulation is carried out to show that the proposed model is realistic and the method being developed is applicable and effective.

金融市场中风险资产的收益率通常被假设为随机变量或模糊变量。对于瞬息万变的实物资产市场,这种假设可能并不总是令人满意。因此,将收益率作为不确定变量有时更为现实。然而,对于已有的多周期不确定投资组合问题,它们没有找到解析最优解。本文提出了多周期不确定投资组合问题的解析最优解的推导方法。首先,定义了一种新的不确定风险度量来对投资风险进行建模。在此基础上,建立了投资收益最大化、投资风险最小化的双准则优化模型。在此基础上,提出了一个等价变换,将不确定双准则优化问题转化为等价双准则优化问题。然后,应用动态规划方法,得到了一个解析最优解。最后进行了数值仿真,验证了所建模型的真实性和所开发方法的适用性和有效性。
{"title":"An analytic solution for multi-period uncertain portfolio selection problem","authors":"Bo Li, Yufei Sun, Kok Lay Teo","doi":"10.1007/s10700-021-09367-8","DOIUrl":"https://doi.org/10.1007/s10700-021-09367-8","url":null,"abstract":"<p>The return rates of risky assets in financial markets are usually assumed as random variables or fuzzy variables. For the ever-changing real asset market, this assumption may not always be satisfactory. Thus, it is sometimes more realistic to take the return rates as uncertain variables. However, for the existing works on multi-period uncertain portfolio selection problems, they do not find analytic optimal solutions. In this paper, we propose a method for deriving an analytic optimal solution to a multi-period uncertain portfolio selection problem. First, a new uncertain risk measure is defined to model the investment risk. Then, we formulate a bi-criteria optimization model, where the investment return is maximized, while the investment risk is minimized. On this basis, an equivalent transformation is presented to convert the uncertain bi-criteria optimization problem into an equivalent bi-criteria optimization problem. Then, by applying dynamic programming method, an analytic optimal solution is obtained. Finally, a numerical simulation is carried out to show that the proposed model is realistic and the method being developed is applicable and effective.</p>","PeriodicalId":55131,"journal":{"name":"Fuzzy Optimization and Decision Making","volume":"31 2","pages":""},"PeriodicalIF":4.7,"publicationDate":"2021-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138527216","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
Editor’s message 编辑的信息
IF 4.7 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2021-04-29 DOI: 10.1007/s10700-021-09362-z
Shu-Cherng Fang
{"title":"Editor’s message","authors":"Shu-Cherng Fang","doi":"10.1007/s10700-021-09362-z","DOIUrl":"https://doi.org/10.1007/s10700-021-09362-z","url":null,"abstract":"","PeriodicalId":55131,"journal":{"name":"Fuzzy Optimization and Decision Making","volume":"20 1","pages":"175 - 175"},"PeriodicalIF":4.7,"publicationDate":"2021-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s10700-021-09362-z","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43464601","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
The DEMATEL–COPRAS hybrid method under probabilistic linguistic environment and its application in Third Party Logistics provider selection 概率语言环境下的DEMATEL-COPRAS混合方法及其在第三方物流供应商选择中的应用
IF 4.7 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2021-04-26 DOI: 10.1007/s10700-021-09358-9
Yayi Yuan, Zeshui Xu, Yixin Zhang

With the emergence of outsourcing logistics and the rapid development of the e-commerce business, Third Party Logistics (TPL) plays an indispensable role in modern business. In the TPL provider selection process, uncertain information brings more challenges to decision makers. This paper uses probabilistic linguistic term sets (PLTSs) to describe uncertain decision making information. Firstly, we propose an improved Decision Making Trial and Evaluation Laboratory method, which allows a certain relationship between decision criteria and calculates criteria weights in multi-criteria decision making (MCDM) problems. Then, in order to make full use of uncertain TPL provider information and maximize the values of data, the probabilistic linguistic complex proportional assessment method is proposed and applied to solve the MCDM problems under probabilistic linguistic environment, which needs much less computation than other MCDM methods. Finally, an application example of TPL provider selection is presented to demonstrate the proposed method. A comparative analysis is further conducted to validate the effectiveness of the proposed method.

随着外包物流的出现和电子商务的快速发展,第三方物流在现代商务中发挥着不可或缺的作用。在第三方物流供应商的选择过程中,信息的不确定性给决策者带来了更多的挑战。本文使用概率语言术语集(PLTSs)来描述不确定的决策信息。首先,我们提出了一种改进的决策试验与评估实验室方法,该方法允许决策准则之间存在一定的关系,并计算多准则决策问题中的准则权重。然后,为了充分利用不确定的TPL提供商信息,实现数据价值最大化,提出了概率语言复比例评估方法,并将其应用于概率语言环境下的MCDM问题,该方法的计算量大大少于其他MCDM方法。最后,给出了第三方物流提供商选择的应用实例。通过对比分析验证了所提方法的有效性。
{"title":"The DEMATEL–COPRAS hybrid method under probabilistic linguistic environment and its application in Third Party Logistics provider selection","authors":"Yayi Yuan, Zeshui Xu, Yixin Zhang","doi":"10.1007/s10700-021-09358-9","DOIUrl":"https://doi.org/10.1007/s10700-021-09358-9","url":null,"abstract":"<p>With the emergence of outsourcing logistics and the rapid development of the e-commerce business, Third Party Logistics (TPL) plays an indispensable role in modern business. In the TPL provider selection process, uncertain information brings more challenges to decision makers. This paper uses probabilistic linguistic term sets (PLTSs) to describe uncertain decision making information. Firstly, we propose an improved Decision Making Trial and Evaluation Laboratory method, which allows a certain relationship between decision criteria and calculates criteria weights in multi-criteria decision making (MCDM) problems. Then, in order to make full use of uncertain TPL provider information and maximize the values of data, the probabilistic linguistic complex proportional assessment method is proposed and applied to solve the MCDM problems under probabilistic linguistic environment, which needs much less computation than other MCDM methods. Finally, an application example of TPL provider selection is presented to demonstrate the proposed method. A comparative analysis is further conducted to validate the effectiveness of the proposed method.</p>","PeriodicalId":55131,"journal":{"name":"Fuzzy Optimization and Decision Making","volume":"31 3","pages":""},"PeriodicalIF":4.7,"publicationDate":"2021-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138527235","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: 31
A comparative analysis of probabilistic linguistic preference relations and distributed preference relations for decision making 概率语言偏好关系与分布偏好关系在决策中的比较分析
IF 4.7 2区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2021-04-20 DOI: 10.1007/s10700-021-09357-w
Min Xue, Chao Fu, Shanlin Yang

When a decision-maker prefers to compare different alternatives in pairs to handle real situations, there are many different expression styles that can be used. Two representative expression styles are the probabilistic linguistic preference relation (PLPR), which originates from the fuzzy linguistic approach and the distributed preference relation (DPR), which originates from the evidential reasoning approach. Although these two expression styles look quite similar, their meanings, operations, and relevant decision making processes are significantly different. This presents the decision-maker with the challenge of selecting either PLPRs or DPRs in different real cases. To address this issue, this paper provides a detailed analysis of the similarities and differences between PLPRs and DPRs. The analysis is conducted from five perspectives, including modeling of decision making problems, handling of uncertainty, consistency between preference relations, information aggregation, and elicitation process. An engineer selection problem for an automobile manufacturing enterprise is investigated to demonstrate how to appropriately select PLPRs or DPRs to model and analyze decision making problems in real situations with consideration for the preferences of decision-makers.

当一个决策者喜欢成对比较不同的选择来处理实际情况时,有许多不同的表达风格可以使用。两种具有代表性的表达方式是源于模糊语言方法的概率语言偏好关系(PLPR)和源于证据推理方法的分布式偏好关系(DPR)。虽然这两种表达方式看起来很相似,但它们的含义、操作和相关的决策过程却有很大的不同。这给决策者提出了在不同实际情况下选择plpr或dpr的挑战。为了解决这一问题,本文详细分析了plpr与DPRs的异同。从决策问题建模、不确定性处理、偏好关系一致性、信息聚合和启发过程五个角度进行分析。以某汽车制造企业的工程师选择问题为研究对象,探讨如何在考虑决策者偏好的情况下,合理选择plpr或dpr来建模和分析实际情况下的决策问题。
{"title":"A comparative analysis of probabilistic linguistic preference relations and distributed preference relations for decision making","authors":"Min Xue, Chao Fu, Shanlin Yang","doi":"10.1007/s10700-021-09357-w","DOIUrl":"https://doi.org/10.1007/s10700-021-09357-w","url":null,"abstract":"<p>When a decision-maker prefers to compare different alternatives in pairs to handle real situations, there are many different expression styles that can be used. Two representative expression styles are the probabilistic linguistic preference relation (PLPR), which originates from the fuzzy linguistic approach and the distributed preference relation (DPR), which originates from the evidential reasoning approach. Although these two expression styles look quite similar, their meanings, operations, and relevant decision making processes are significantly different. This presents the decision-maker with the challenge of selecting either PLPRs or DPRs in different real cases. To address this issue, this paper provides a detailed analysis of the similarities and differences between PLPRs and DPRs. The analysis is conducted from five perspectives, including modeling of decision making problems, handling of uncertainty, consistency between preference relations, information aggregation, and elicitation process. An engineer selection problem for an automobile manufacturing enterprise is investigated to demonstrate how to appropriately select PLPRs or DPRs to model and analyze decision making problems in real situations with consideration for the preferences of decision-makers.</p>","PeriodicalId":55131,"journal":{"name":"Fuzzy Optimization and Decision Making","volume":"10 2","pages":""},"PeriodicalIF":4.7,"publicationDate":"2021-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138527226","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: 6
期刊
Fuzzy Optimization and Decision Making
全部 Acc. Chem. Res. ACS Applied Bio Materials ACS Appl. Electron. Mater. ACS Appl. Energy Mater. ACS Appl. Mater. Interfaces ACS Appl. Nano Mater. ACS Appl. Polym. Mater. ACS BIOMATER-SCI ENG ACS Catal. ACS Cent. Sci. ACS Chem. Biol. ACS Chemical Health & Safety ACS Chem. Neurosci. ACS Comb. Sci. ACS Earth Space Chem. ACS Energy Lett. ACS Infect. Dis. ACS Macro Lett. ACS Mater. Lett. ACS Med. Chem. Lett. ACS Nano ACS Omega ACS Photonics ACS Sens. ACS Sustainable Chem. Eng. ACS Synth. Biol. Anal. Chem. BIOCHEMISTRY-US Bioconjugate Chem. BIOMACROMOLECULES Chem. Res. Toxicol. Chem. Rev. Chem. Mater. CRYST GROWTH DES ENERG FUEL Environ. Sci. Technol. Environ. Sci. Technol. Lett. Eur. J. Inorg. Chem. IND ENG CHEM RES Inorg. Chem. J. Agric. Food. Chem. J. Chem. Eng. Data J. Chem. Educ. J. Chem. Inf. Model. J. Chem. Theory Comput. J. Med. Chem. J. Nat. Prod. J PROTEOME RES J. Am. Chem. Soc. LANGMUIR MACROMOLECULES Mol. Pharmaceutics Nano Lett. Org. Lett. ORG PROCESS RES DEV ORGANOMETALLICS J. Org. Chem. J. Phys. Chem. J. Phys. Chem. A J. Phys. Chem. B J. Phys. Chem. C J. Phys. Chem. Lett. Analyst Anal. Methods Biomater. Sci. Catal. Sci. Technol. Chem. Commun. Chem. Soc. Rev. CHEM EDUC RES PRACT CRYSTENGCOMM Dalton Trans. Energy Environ. Sci. ENVIRON SCI-NANO ENVIRON SCI-PROC IMP ENVIRON SCI-WAT RES Faraday Discuss. Food Funct. Green Chem. Inorg. Chem. Front. Integr. Biol. J. Anal. At. Spectrom. J. Mater. Chem. A J. Mater. Chem. B J. Mater. Chem. C Lab Chip Mater. Chem. Front. Mater. Horiz. MEDCHEMCOMM Metallomics Mol. Biosyst. Mol. Syst. Des. Eng. Nanoscale Nanoscale Horiz. Nat. Prod. Rep. New J. Chem. Org. Biomol. Chem. Org. Chem. Front. PHOTOCH PHOTOBIO SCI PCCP Polym. Chem.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1