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1.
Bilevel decision addresses the problem in which two levels of decision makers each tries to optimize their individual objectives under certain constraints, and to act and react in an uncooperative and sequential manner. Given the difficulty of formulating a bilevel decision problem by mathematical functions, a rule sets–based bilevel decision (RSBLD) model was proposed. This article presents an algorithm to solve a RSBLD problem. A case‐based example is given to illustrate the functions of the proposed algorithm. Finally, a set of experiments is analyzed to further show the functions and the effectiveness of the proposed algorithm. 相似文献
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Decision‐theoretic rough sets (DTRSs), which provide a classical model of three‐way decisions (3WDs), play an important role in risk decision‐making problems. The risk is associated with the loss function of DTRSs, which is evaluated by the decision makers. As a new extension of fuzzy sets, Pythagorean fuzzy sets can handle uncertain information more flexibly than intuitionistic fuzzy sets in the process of decision making and it gives a new measure for the determination of loss functions of DTRSs. More specifically, we take into account the loss functions of DTRSs with Pythagorean fuzzy numbers and propose a Pythagorean fuzzy decision‐theoretic rough set (PFDTRS) model. Some properties of the expected losses are carefully investigated. Then we further design three approaches for deriving 3WDs with the PFDTRS model. The group decision making (GDM) based on the PFDTRS model is also discussed. It provides a novel interpretation for the determination of loss functions. With the aid of the Pythagorean fuzz weighted averaging operator, we aggregate the loss functions, as suggested by the all experts, which support a coherent way of designing information granules in the presence of numerics. An algorithm for 3WDs in GDM based on the PFDTRS model is designed. Then, an example is presented to elaborate on 3WDs with the PFDTRS model. 相似文献
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一种基于vague集的模糊多目标决策新方法 总被引：1，自引：0，他引：1
提出一种新的基于vague集的模糊多目标决策方法。解决在无权重的情况下模糊多目标决策，所得的方法能更好的应用于模糊多目标决策，并通过例子阐明本文方法的有效性和优越性。 相似文献
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粗集和软集在解决不确定的问题的决策分析过程中,属性约简是关键和棘手的问题.与粗集理论相比较,利用软集方法能够有效地简化决策过程.决策信息系统用软集形式表示,用软集处理粗集理论中的等价关系,进行有效的属性约简,给出一个属性真度的概念作为反映条件属性重要性的函数,在此基础上给出一种适合软集属性约简的启发式算法,通过分析和实例证明该软集属性约简方法,简化约简过程,降低运算的复杂度. 相似文献
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基于动态双极值模糊软集的群决策方法 总被引：1，自引：0，他引：1
针对实际问题中双极值模糊软集随时间变化的影响,定义了动态双极值模糊软集等概念,讨论了相关运算及性质。根据时间权重符合对数增长模型得到权重确定公式。利用集成思想定义双极值模糊软集的运算并给出几何加权平均算子的计算公式,将动态双极值模糊软集集成为综合双极值模糊软集。利用水平软集算出各对象的机会值,得出最优决策。通过实例分析证明此决策方法的合理性与可行性。 相似文献
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针对属性权重、偏好信息集及专家权重取自不同的语言值集的群决策问题;给出了“程度”语言值集的选择准则;给出了转换函数;讨论了其性质;提出了不同语言值集下的多属性群决策方法。该方法不仅简洁、直观;而且在决策过程中不丢失任何信息;所得到的结果合理。实例验证了该方法的有效性和实用性。
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The concept of intuitionistic fuzzy soft set (IFSS) arising from intuitionistic fuzzy set (IFS) is generalized by including a parameter reflecting a moderator's opinion about the validity of the information provided. The resulting generalized intuitionistic fuzzy soft set (GIFSS) finds a special role in the decision making applications. It can evaluate the given criteria along with the moderator's assessment of the furnished data. The properties of GIFSS are investigated and the associated relations called generalized intuitionistic fuzzy soft relations (GIFSR) are given. A similarity measure is given to compare two GIFSSs. As this is not applicable to fuzzy numbers, a new score function is devised to compare two intuitionistic fuzzy numbers (IFNs), the components of IFS. The effectiveness of the proposed GIFSS in decision making is demonstrated on four case studies. 相似文献
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陈蓉素 《计算机工程与应用》2008,44(36):219-220
在Vague多目标决策的研究中,引入欧氏范数,建立加权向量概念,通过计算和比较各候选方案与理想方案间的几何偏差来确定最优方案。算例验证了该方法的有效性和可行性。 相似文献
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对方案有偏好的Vague集互补判断矩阵决策法 总被引：2，自引：1，他引：1
要瑞璞 《计算机工程与应用》2010,46(22):32-33
研究指标权重信息未知且对方案有偏好的Vague集多属性决策问题。首先将决策信息和偏好信息的Vague值转化为模糊值,进一步将偏好信息转化为互补判断矩阵,从而建立目标规划模型,通过求解该模型得各指标的权重,并通过求解各方案综合属性值对方案进行排序和择优。最后给出算例。 相似文献
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Muhammad Irfan Ali Feng Feng Tahir Mahmood Imran Mahmood Haider Faizan 《国际智能系统杂志》2019,34(10):2692-2712
Many different types of ranking methods based on the score and accuracy functions of intuitionistic fuzzy values (IFVs) exist in the literature. The notion of knowledge bases, as in the case of rough set theory, is very handy to show that every ranking technique produces a unique classification of IFVs with a unique order among the classes. This means these rankings give rise to unique knowledge bases. Therefore, ranking of IFVs by two or more distinct techniques may produce different results. In this study, a graphical ranking method based on the uncertainty index and entropy is proposed. This approach is tested on several numerical examples existing in the literature and shown to be intuitive and convenient for applications in real-life scenarios. 相似文献
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Pythagorean fuzzy sets (PFSs) as a new generalization of fuzzy sets (FSs) can handle uncertain information more flexibly in the process of decision making. In our real life, we also may encounter a hesitant fuzzy environment. In view of the effective tool of hesitant fuzzy sets (HFSs) for expressing the hesitant situation, we introduce HFSs into PFSs and extend the existing research work of PFSs. Concretely speaking, this paper considers that the membership degree and the non-membership degree of PFSs are expressed as hesitant fuzzy elements. First, we propose a new concept of hesitant Pythagorean fuzzy sets (HPFSs) by combining PFSs with HFSs. It provides a new semantic interpretation for our evaluation. Meanwhile, the properties and the operators of HPFSs are studied in detail. For the sake of application, we focus on investigating the normalization method and the distance measures of HPFSs in advance. Then, we explore the application of HPFSs to multi-criteria decision making (MCDM) by employing the technique for order preference by similarity to ideal solution (TOPSIS) method. A new extension of TOPSIS method is further designed in the context of MCDM with HPFSs. Finally, an example of the energy project selection is presented to elaborate on the performance of our approach. 相似文献
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Conflicts occur naturally in the real world at all levels of society, individually, in groups or society as a whole. Almost all the existing conflict resolution models are unilateral in their decision‐making process. They do not consider the actions of the involved parties simultaneously. Therefore, in this paper, we aim to design a novel conflict resolution model based on game‐theoretic rough sets by constructing a game between all the concerned parties (players), computing the payoff of different strategies and classifying them following equilibrium rules. The proposed model yields more realistic and accurate results as it explores all possibilities and is flexible in determining different threshold values relative to the complexities of real‐life problems. Three real‐life conflict situations are solved with the proposed model, and a comprehensive analysis is done to validate the effectiveness of the proposed approach. 相似文献
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The theory of probabilistic linguistic term sets (PLTSs) is very useful in objectively dealing with the multi‐criteria group decision making (MCGDM) problems in which there is hesitancy in providing linguistic assessments; and PLTSs allow experts to express their preferences on one linguistic term over another. In order to reflect the uncertainty and inconsistency of decision‐makers and handle incomplete linguistic information, we propose a new PLTS called interval‐valued probabilistic linguistic term set (IVPLTS). In addition, the existing approaches associated with PLTSs are limited or highly complex in real applications. Therefore, new operations, comparison laws, and aggregation operators are developed for IVPLTS. Furthermore, we establish an efficient framework for MCGDM problems based on the proposed comparison method and the fuzzy preference relation. Then we apply it to a real‐life case under linguistic environment. The extended TOPSIS methods combined with PLTSs by using different operational laws are also included for comparison. The final results demonstrate the efficiency and practicality of the new framework. 相似文献
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一种基于粗集理论的属性约简改进算法 总被引：11，自引：0，他引：11
利用粗集理论中属性的依赖度和重要度性质,提出一种对数据属性进行约简的改进算法,对该算法进行分析,并运用一个简单的例子对该算法的有效性进行验证。 相似文献
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研究模糊决策中模糊集的比较与排序问题。通过引入模糊极大集和模糊极小集为参照系统并以海明距离为计量工具,定义了两个模糊效用函数和一个模糊优先关系作为模糊集的排序指标。前者适合于多个模糊集的整体分析,后者适合于两两之间的比较判别。对于两个模糊集的排序问题,模糊效用函数自动退化为相应的模糊优先关系。系统分析了3种指标的性能及关系,并举例说明了它们的应用。 相似文献
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Vague集多属性决策的可能度法 总被引：1，自引：1，他引：0
给出了Vague集比较的可能度定义,并研究了其所具有的性质。针对属性权重已知和完全未知的Vague集多属性决策问题,应用最优点方案来建立最优化决策模型。应用Vague集间比较的可能度公式,提出了解决Vague集多属性决策问题的新方法。最后以应用实例对该方法进行说明和验证。 相似文献
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对于犹豫模糊元中的不同隶属度值赋予不同的权重,由此构造出一种应用范围更广、更符合实际需要的犹豫模糊集合 ----- 加权犹豫模糊集合.针对加权犹豫模糊集中的加权犹豫模糊元,定义了加权犹豫模糊集合和加权犹豫模糊元的并、交、余、数乘和幂等运算及其运算法则,并讨论它们的运算性质;同时,给出加权犹豫模糊元的得分函数和离散函数,进而给出一种比较加权犹豫模糊元的排序法则.在此基础上,提出两类集成算子:加权犹豫模糊元的加权算术平均算子和加权犹豫模糊元的加权几何平均算子,并针对专家权重(已知和未知)的两种情形,将加权犹豫模糊集合应用于群决策,给出两种基于加权犹豫模糊集合的群决策方法.最后,通过一个应用实例表明所提出的群决策方法的有效性和实用性. 相似文献
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模糊软集多参数决策方法中经常将Zadeh交与代数积使用在数据融合方法中,在一些实际应用中会产生信息缺失,导致决策者无法做出准确的选择。针对这一问题,结合Einstein运算法则提出一种新的数据融合方法,用于解决信息缺失和对象无法排序的问题。所提出的基于模糊软集的多参数决策方法是通过Einstein积运算进行多个参数集合的整合,从而得到一个合成模糊软集,再由合成模糊软集计算得到对照矩阵与得分表,最终得到对象的全排序,为决策者提供判断依据。通过实例结果,可以验证新方法在决策问题中的正确性和有效性。 相似文献