基于MACBETH方法的犹豫模糊语言多准则决策方法

犹豫模糊语言集是语言术语集的拓展.受传统的MACBETH(measuring attractiveness by a categorical-based evaluation technique)方法的启发,构建基于MACBETH方法的犹豫模糊语言多准则决策方法.首先将语言表达式表示的决策信息通过转化函数转化为犹豫模糊语言数,进而得出犹豫模糊语言判断矩阵;然后将此结果应用于改进的MACBETH决策支持系统;最后,通过毕业生选择就职企业这一实例说明该方法的有效性和可行性.     

基于粒计算的犹豫模糊多准则决策方法*

提出基于粒计算的犹豫模糊多准则决策方法.给出各个准则下对应的犹豫模糊集中犹豫模糊元的大于可能度定义,并构造相应准则下的加性一致的模糊偏好矩阵.根据各准则的模糊偏好矩阵对应的预序熵及预序粒结构相似度确定属性的权重,对各个准则下模糊偏好矩阵的排序向量加权平均得到最终的排序向量.文中方法以评价数据序信息量及准则序与整体之间的关系确定准则权重,通过计算加权两两比较下的排序向量得到最终的排序决策结果.最后运用实例验证算法的有效性及可行性.     

基于证据理论和前景理论的犹豫-直觉模糊语言多准则决策方法

在犹豫模糊语言和直觉模糊语言的基础上,提出一种新的犹豫-直觉模糊语言集,并定义得分函数、精确函数和Hamming距离公式.针对准则值为犹豫-直觉模糊语言的不确定多准则决策问题,构建基于证据理论和前景理论的拓展型VIKOR方法.该决策方法利用证据理论处理自然状态发生的概率未知的不确定状况,应用前景理论刻画人在做决策时的有限理性行为,使决策结果更能反映实际情况.最后,通过算例表明了所提出方法的有效性和可行性.     

准则关联的直觉模糊多准则决策方法

针对准则值为直觉三角模糊数,准则间相互关联的多准则决策问题,提出基于Choquet分的决策方法．该方法首先利用偏好函数定义方案在各准则下的优序关系,若模糊测度已知,则直接利用Choquet积分进行求解;若准则集上的模糊测度未知,则利用部分决策信息和最小方差法建立二次规划模型,求解模糊测度,再利用Choquet分进行决策．最后通过实例表明了该方法的有效性和可行性．     

基于区间梯形二型犹豫模糊数的多准则决策方法

针对准则权重不完全的犹豫模糊多准则决策问题,提出基于区间梯形二型犹豫模糊数的决策方法.首先,给出区间梯形二型犹豫模糊数,根据几何面积法定义区间梯形二型犹豫模糊数的可能度和差异度;然后,利用差异度和离差最大化模型得到各准则权重,基于TOPSIS思想得到各方案的综合贴近度,并对方案进行排序;最后,通过算例分析和对比分析验证了所提出方法的可行性和有效性.     

犹豫模糊语言PROMETHEE方法在川酒品牌评价中的应用

基于犹豫模糊语言集理论,提出一种犹豫模糊语言信息环境下的PROMETHEE多属性决策方法,并应用于川酒品牌评价决策问题中.研究表明,犹豫模糊语言集能够很好地描述和处理复杂定性信息环境下的川酒品牌评价与决策问题;所提出的犹豫模糊语言PROMETHEE算法简便, 且改进的偏好函数允许决策者根据其对方案的严格优于偏好对参数进行选择,可保证决策过程的科学性和决策结果的准确性.     

模糊多准则决策方法研究综述

模糊多准则决策是当前决策领域的一个研究热点,在实际决策中有着广泛的应用.为此,介绍了基于模糊数、直觉模糊集和Vague集的多准则决策方法和语言多准则决策方法的研究现状,定义了直觉梯形模糊数和区间直觉梯形模糊数,扩展了模糊数和直觉模糊集.最后探讨了目前模糊多准则决策要解决的问题和发展方向.     

基于三角犹豫Einstein算法的多属性决策模型

针对属性信息为三角犹豫模糊信息的多属性决策问题,结合Einstein运算,构建了一种基于三角犹豫模糊Einstein集成算法的多属性决策方法。首先,考虑到决策信息为三角犹豫模糊数且属性间存在一定的内在联系,基于三角犹豫模糊数的运算法则,提出了三角犹豫模糊Einstein加权平均（THFEWA）算子和三角犹豫模糊Einstein加权几何（THFEWG）算子;其次,针对三角犹豫模糊元的有序位置存在具有不同权重的情况,构建了三角犹豫模糊Einstein有序加权平均（THFEOWA）算子和三角犹豫模糊Einstein有序加权几何（THFEOWG）算子,并讨论了它们相应的基本性质;最后建立了基于THFEOWA算子和THFEOWG算子的多属性决策模型,并通过实例说明提出的决策模型是合理和有效的。     

双论域上的犹豫模糊语言多粒度粗糙集及其应用

犹豫模糊语言术语集结合了模糊语言方法与犹豫模糊集的优势, 常应用于定性环境下的群决策中. 基于犹豫模糊语言关系, 提出双论域上的犹豫模糊语言多粒度粗糙集. 在该粗糙集中, 定义了双论域上的乐观和悲观犹豫模糊语言多粒度粗糙集, 并讨论了其相关性质. 在此基础上提出以人岗匹配为背景的决策模型, 并用算例阐述了所提出模型的有效性. 结果表明, 该模型不仅可以处理定性环境下的语言信息, 而且可以结合不同专家的意见给出最终决策结果, 为人岗匹配提供一种新思路.     

广义犹豫模糊信息集成及其多属性群决策

在犹豫模糊环境下,主要研究了基于阿基米德范数的广义信息集成算法,并提出了一种新的多属性群决策方法。基于阿基米德T-范数和S-范数,定义了广义犹豫模糊运算法则;运用新定义的广义犹豫模糊运算法则,提出了广义犹豫模糊有序加权平均(G-HFOWA)算子,研究了其优良性质;探讨了在某些特殊情况下,广义犹豫模糊有序加权平均算子将转化为一些常见的犹豫模糊信息集成算子,包括犹豫模糊有序加权平均算子、犹豫模糊Einstein有序加权平均算子、犹豫模糊Hamacher有序加权平均算子以及犹豫模糊Frank有序加权平均算子;基于广义信息集成算子,构建了一种新的犹豫模糊多属性群决策方法,并将其应用于区域经济协调发展研究过程中,以验证提出的决策方法是可行的与有效的。     

Linguistic hesitant intuitionistic fuzzy decision-making method based on VIKOR

Linguistic hesitant intuitionistic fuzzy set, which allows an element having several linguistic evaluation values and each linguistic argument having several intuitionistic fuzzy memberships, is a power tool to model uncertain information existing in multiple attribute decision-making problems. In this paper, we propose new methods by using TOPSIS and VIKOR for multiple attribute decision-making problems, in which evaluation values are in the form of linguistic hesitant intuitionistic fuzzy elements. Different situations of attribute weight information are considered. If attribute weights are partly known, a linear programming model is set up based on the idea that reasonable weights should make the relative closeness of each alternative evaluation value to the linguistic hesitant intuitionistic fuzzy positive ideal solution as large as possible. If attribute weights are unknown completely, an optimization model is set up based on the maximum deviation method. A numerical example is presented to illustrate feasibility and practical advantages of the proposed method. We compare the alternatives’ rankings derived from the linguistic hesitant intuitionistic fuzzy TOPSIS method with those derived from the hesitant fuzzy linguistic TOPSIS and the hesitant intuitionistic fuzzy TOPSIS approach to further illustrate their advantages.

     

Multi-criteria decision-making using interval-valued hesitant fuzzy QUALIFLEX methods based on a likelihood-based comparison approach

QUALIFLEX is a very efficient outranking method to handle multi-criteria decision-making (MCDM) involving cardinal and ordinal preference information. Based on a likelihood-based comparison approach, this paper develops two interval-valued hesitant fuzzy QUALIFLEX outranking methods to handle MCDM problems within the interval-valued hesitant fuzzy context. First, we define the likelihoods of interval-valued hesitant fuzzy preference relations that compare two interval-valued hesitant fuzzy elements (IVHFEs). Then, we propose the concepts of the concordance/discordance index, the weighted concordance/discordance index and the comprehensive concordance/discordance index. Moreover, an interval-valued hesitant fuzzy QUALIFLEX model is developed to solve MCDM problems where the evaluative ratings of the alternatives and the weights of the criteria take the form of IVHFEs. Additionally, this paper propounds another likelihood-based interval-valued hesitant fuzzy QUALIFLEX method to accommodate the IVHFEs’ evaluative ratings of alternatives and non-fuzzy criterion weights with incomplete information. Finally, a numerical example concerning the selection of green suppliers is provided to demonstrate the practicability of the proposed methods, and a comparison analysis is given to illustrate the advantages of the proposed methods.

     

基于犹豫模糊语言多属性群决策的VIKOR扩展方法

针对犹豫模糊语言多属性群决策问题,提出了一种基于可能度分布的VIKOR方法。该方法首先将基于犹豫模糊语言的评价信息转化成可能度分布值,定义了新的距离公式,避免了传统犹豫模糊语言评价信息在计算过程中造成的信息扭曲。然后,设计了基于最大群体效用与最小个体遗憾两个目标的群体信息集结优化模型,并给出多属性群决策的VIKOR扩展方法。运用一个交通建设方案选择的案例分析验证了方法的有效性和优越性。     

Some interesting properties of the fuzzy linguistic model based on discrete fuzzy numbers to manage hesitant fuzzy linguistic information

The management of hesitant fuzzy information is a topic of special interest in fuzzy decision making. In this paper, we focus on the use and properties of the fuzzy linguistic modelling based on discrete fuzzy numbers to manage hesitant fuzzy linguistic information. Among these properties, we can highlight the existence of aggregation functions with no need of transformations or the possibility of a greater flexibilization of the opinions of the experts, even using different linguistic chains (multigranularity). Furthermore, based on these properties we perform a comparison between this model and the one based on hesitant fuzzy linguistic term sets, showing the advantages of the former with respect to the latter. Finally, a fuzzy decision making model based on discrete fuzzy numbers is proposed.     

基于梯形模糊隶属函数的复合语言多目标决策

对于一些复杂的决策问题, 使用比较语言比单一语言更能准确地表达专家的看法. 据此, 提出一种同时使用单一语言和比较语言的新算法. 根据上下文无关文法将比较语言表达转换为犹豫模糊语言术语集(HFLTS), 并应用有序加权算子(OWA) 计算出由梯形隶属函数表示的模糊语言术语集的模糊包络, 有效地简化了基于HFLTS 的词计算过程. 最后应用逼近理想解排序(TOPSIS) 方法进行决策.

     

基于云发生算法的犹豫语言多准则决策方法

犹豫语言集比传统语言变量能更好地表示不确定决策信息,但因其具有非均匀和离散的特点,使用时难以找到对应的解析词运算规则和比较方法。对此,利用云模型的云滴生成算法,通过数值模拟方法解决犹豫语言信息的运算与比较问题,提出了相应的多准则决策方法,并通过算例分析了其有效性。     

基于语言值有序对三元组的多类型数据标准化方法

为了标准化处理多类型数据,基于语言值二元组,提出语言值有序对三元组表示模型,研究语言值有序对三元组及其性质,给出语言值有序对三元组之间的相似度.讨论语言值有序对三元组加权平均算子,构造模糊集、直觉模糊集、犹豫模糊集、语言真值直觉模糊集与语言值有序对三元组的标准化转化模型.结合语言值有序对三元组之间的相似度,将模糊集、直觉模糊集、犹豫模糊集、语言真值直觉模糊集的转化模型应用于模式识别中.最后,通过医院智能分诊的实例说明文中方法的合理性和有效性.     

An extended outranking approach for multi-criteria decision-making problems with linguistic intuitionistic fuzzy numbers

Linguistic intuitionistic fuzzy numbers (LIFNs), characterized by a linguistic membership degree, linguistic non-membership degree, and linguistic indeterminacy degree, represent a helpful tool for depicting uncertain information under complex environments. This paper focuses on developing an innovative method to address multi-criteria decision-making (MCDM) problems with LIFNs in which the weight information is completely unknown. First, the distance of LIFNs is defined with the aid of linguistic scale functions (LSFs). Second, some extended outranking relationships between each pair of LIFNs are proposed based on the elicitation of the classic relation models. Moreover, a ranking method is constructed to deal with MCDM problems according to the proposed outranking relationships of LIFNs. Finally, an illustrative example concerning coal mine safety evaluation is provided to demonstrate the proposed method, and its feasibility and validity are further verified by a sensitivity analysis and comparison with other existing methods.