共查询到20条相似文献,搜索用时 234 毫秒
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为了对含有多属性的直觉犹豫模糊决策信息系统进行约简,获取最优粒度,运用多粒度粗糙集处理直觉犹豫模糊决策信息系统中的不确定信息,并对多粒度粗糙直觉犹豫模糊集的最优粒度选择方法进行了研究.首先,在直觉犹豫模糊集的基础上引入属性信息,给出粗糙直觉犹豫模糊集的概念,提出乐观、悲观多粒度粗糙直觉犹豫模糊集的下、上近似这4种模型,且研讨了它们的性质.其次,主要定义了基于悲观多粒度粗糙直觉犹豫模糊集下近似的粒度质量相似度和内、外粒度重要度的计算公式,设计了其最优粒度选择算法.最后,通过葡萄酒测评的案例,分别基于乐观、悲观多粒度粗糙直觉犹豫模糊集的下、上近似这4种情况,计算出最优粒度并进行了分析,验证了该算法在直觉犹豫模糊决策信息系统中的约简是有效的. 相似文献
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直觉模糊集概念产生于模糊集概念,自Atanassov提出这个概念以来,已得到了众多研究者的关注并被应用到不同的领域。作为直觉模糊理论的一个重要研究内容,研究者已在不同文献中提出多种不同的直觉模糊集相似度量方法,但这些方法在一些特殊情况下并不总是有效。指出了影响直觉模糊集(数)相似度量的因素,分析了现有方法存在不足的原因,提出了一种综合考虑隶属度、非隶属度、犹豫度、核及其相互影响后的新的相似度量方法,指出并证明了该方法所具有的新的性质。数字实例表明该方法可以克服现存几种方法的缺陷,结果符合人们直觉,具有更强的区分数据能力。 相似文献
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一个基于三角函数的直觉模糊熵公式 总被引:1,自引:0,他引:1
利用三角函数定义了一个直觉模糊熵公式,该公式不仅考虑了直觉模糊集的隶属度与非隶属度的偏差,而且考虑了直觉模糊集的犹豫度.对以往文献给出的两个直觉模糊熵公式进行了讨论,并将所提出的公式与这两个公式进行了比较.算例分析表明,所提出的熵公式能够反映直觉模糊集的不确定性和未知性程度. 相似文献
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有关区间值直觉模糊数(集)的相似性研究较少,并且现有的方法在处理实际问题时效果较差。针对这个问题,提出了区间值直觉模糊数(集)相似性测度的新方法,包含了隶属度,非隶属度,犹豫度,以及后者对前两者的影响,将隶属度,非隶属度,犹豫度的相似度表示成三元组的形式,用TOPSIS的思想处理该三元组,得出一种新的有效的相似性度,证明其合理性。将其应用到模式识别实例中,验证其有效性。 相似文献
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首先针对直觉模糊集距离中是否包含直觉模糊集通过隶属度、非隶属度以及犹豫度这三种信息,以及直觉模糊集距离是否满足相应距离度量的条件对其进行了详细分析,发现现有方法都是直接将犹豫度直接引入到直觉模糊集距离中,从而会产生不一致性。鉴于此,定义了一种新的直觉模糊集距离度量方法,其不仅考虑隶属度和非隶属度信息,同时还考虑犹豫度对隶属度和非隶属度的分配,从而间接地将犹豫度也引入到直觉模糊集距离中。其次,证明了所提距离度量满足距离度量条件,并结合实例将其与现有距离度量方法进行比较分析,说明了新方法的合理性。最后,将所提出方法应用于多准则模糊决策中,进一步说明了新方法的有效性和可行性。 相似文献
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针对语言区间直觉模糊信息的集结问题,文中提出Frank集结算子,并构建解决供应商选择问题的群决策方法.首先引入拓展Frank t-模与s-模定义语言区间直觉模糊集的Frank运算法则,提出语言区间直觉模糊Frank加权平均(LIVIFFWA)算子与几何(LIVIFFWG)算子,证明算子的幂等性、封闭性、单调性等基本性质,剖析算子关于参数的退化性.然后,基于LIVIFFWA算子与LIVIFFWG算子构建语言区间直觉模糊多属性群决策方法,用于解决供应商决策问题.最后,通过共享单车回收供应商选择的案例分析验证文中决策方法的可行性和灵活性,讨论参数变化对决策结果的影响,并验证参数具有表征和反馈决策者态度的能力. 相似文献
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基于下标以零为中心对称的语言评估标度,将区间不确定二元语言集与区间直觉模糊集结合,提出区间直觉二元语言集及变量的概念;讨论区间直觉二元语言变量的运算及可能度;提出区间直觉二元语言加权算术平均算子、区间直觉二元语言有序加权平均算子,并在此基础上,通过可能度矩阵对区间直觉二元语言变量进行排序提出区间直觉二元语言混合加权平均算子;最后基于这些算子构建了一种新的直觉模糊多属性群决策方法,并将其运用于供应商选择过程中。 相似文献
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针对多属性决策中多个相互冲突的属性信息使决策者很难做出决策判断的问题,文中从支持直觉模糊集的角度研究该问题.首先,在支持直觉模糊集的基础上,结合多粒度粗糙集理论,构造乐观、悲观两种多粒度支持直觉模糊粗糙集模型,分析两种模型之间的相互关系,讨论相关性质.然后,利用t-模和t-余模定义拟合函数,提出多粒度支持直觉模糊粗糙集的多属性决策求解方法,同时定义得分函数和精确函数排序决策结果,提取相应的决策规则,设计算法.实例分析表明,文中方法使决策者在处理信息冲突的多属性决策问题时可根据实际需求选择最优决策方案 相似文献
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针对具有模糊语言值信息的多属性决策问题,结合传统的TOPSIS方法,提出了基于TOPSIS的语言真值直觉模糊多属性决策方法。在语言真值直觉模糊代数的基础上,用语言真值直觉模糊对来表达既有可比的又有不可比的模糊语言值信息,给出了语言真值直觉模糊对之间的归一化距离算法,并讨论了其相关性质。提出了语言真值直觉模糊正、负理想点,通过计算各方案属性值与正、负理想点之间的距离,得到各方案与理想点之间的相对贴近度,并根据相对贴近度的排序结果得到最优方案。实例说明该决策方法的合理性和有效性。 相似文献
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针对名义型属性和数值型属性并存的混合型数据,结合多粒度邻域粗糙集和直觉模糊集,分别定义模糊覆盖粗糙隶属度和非隶属度.基于不同的属性集序列和不同的邻域半径,构建多粒度邻域粗糙直觉模糊集模型,证明模型相关性质.然后提出乐观和悲观多粒度邻域粗糙直觉模糊集的近似集,并讨论模型性质.最后使用文中模型计算实例,说明其能较好地解决名义型属性和数值型属性的混合型数据的处理问题. 相似文献
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As a result of uncertainty and complexity for environments of decision-making, it is more suitable for decision makers to use hesitant fuzzy linguistic information. In this paper, a novel group decision making (GDM) model based on fuzzy linear programming is proposed for incomplete comparative expressions with hesitant fuzzy linguistic term set (HFLTSs). We establish an equivalence theorem of additive consistency between 2-tuple fuzzy linguistic preference relation (FLPR) and corresponding fuzzy preference relation. Based on this framework, a fuzzy linear programming is established to address incomplete comparative expressions with HFLTSs. It is more important that the proposed fuzzy linear programming has a double action, finding the highest consistent incomplete 2-tuple FLPR and increasing inconsistent 2-tuple FLPR to the additive consistent 2-tuple FLPR based on given incomplete comparative expressions with HFLTSs. By this means, a novel GDM model is constructed based on importance induced ordered weighted averaging operator. Finally, an investment decision-making in real-world is solved by the proposed model, which shows the result of GDM is effectiveness. 相似文献
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Zhu et al. (2012) proposed dual hesitant fuzzy set as an extension of hesitant fuzzy sets which encompass fuzzy sets, intuitionistic fuzzy sets, hesitant fuzzy sets, and fuzzy multisets as a special case. Dual hesitant fuzzy sets consist of two parts, that is, the membership and nonmembership degrees, which are represented by two sets of possible values. Therefore, in accordance with the practical demand these sets are more flexible, and provides much more information about the situation. In this paper, the axiom definition of a similarity measure between dual hesitant fuzzy sets is introduced. A new similarity measure considering membership and nonmembership degrees of dual hesitant fuzzy sets has been presented and also it is shown that the corresponding distance measures can be obtained from the proposed similarity measures. To check the effectiveness, the proposed similarity measure is applied in a bidirectional approximate reasoning systems. Mathematical formulation of dual hesitant fuzzy assignment problem with restrictions is presented. Two algorithms based on the proposed similarity measure, are developed to finds the optimal solution of dual hesitant fuzzy assignment problem with restrictions. Finally, the proposed method is illustrated by numerical examples. 相似文献
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In rough set theory, the lower and upper approximation operators defined by binary relations satisfy many interesting properties. Various generalizations of Pawlak’s rough approximations have been made in the literature over the years. This paper proposes a general framework for the study of relation-based intuitionistic fuzzy rough approximation operators within which both constructive and axiomatic approaches are used. In the constructive approach, a pair of lower and upper intuitionistic fuzzy rough approximation operators induced from an arbitrary intuitionistic fuzzy relation are defined. Basic properties of the intuitionistic fuzzy rough approximation operators are then examined. By introducing cut sets of intuitionistic fuzzy sets, classical representations of intuitionistic fuzzy rough approximation operators are presented. The connections between special intuitionistic fuzzy relations and intuitionistic fuzzy rough approximation operators are further established. Finally, an operator-oriented characterization of intuitionistic fuzzy rough sets is proposed, that is, intuitionistic fuzzy rough approximation operators are defined by axioms. Different axiom sets of lower and upper intuitionistic fuzzy set-theoretic operators guarantee the existence of different types of intuitionistic fuzzy relations which produce the same operators. 相似文献