FAHP中基于概念格的加权群体决策

在一些群体决策问题中,由于决策者个人的经验、才智、权力等因素的不同,因而拥有不同决策权重,将概念格聚类的方法嫁接于群体决策之中,提出FAHP中一种加权群体决策模型,并给出一个应用该群体决策模型的例子.     

考虑非合作行为的社会网络大群体共识决策模型

在社会网络环境下的大群体决策问题当中,决策专家之间的社会网络关系对决策过程和结果的影响至关重要.文章创新地提出一种考虑决策专家社会网络关系和非合作行为的大群体共识决策模型,有效促进大群体共识的达成.首先,根据决策专家的偏好信息和社会网络关系,改进经典Louvain社区发现算法,对大决策群体进行社区划分.其次,运用社会网络分析方法确定决策专家个体和社区的权重.随后,根据决策专家的偏离程度对决策专家非合作行为进行识别,并考虑社会网络关系的影响对非合作行为进行管理,以此构建共识决策模型.最后,通过案例分析来验证所建立共识决策模型的可行性和有效性.文章构建的共识决策模型,不仅在大群体社区划分过程中,创新性地同时考虑决策专家的偏好信息和社会网络关系的影响,并且在非合作行为管理过程中,也考虑到了社会网络关系对非合作行为决策专家偏好调整的影响,使其更适应社会网络决策环境.     

Fuzzy半群中的Fuzzy素理想

探讨Fuzzy半群中Fuzzy素理想,Fuzzy 完全理想与Fuzzy理想的根的一些代数性质,证明Fuzzy半群中每一个Fuzzy理想是Fuzzy完全半素理想当且仅当它可表为一族Fuzzy完全素理想之交。     

布尔代数的Fuzzy子代数和Fuzzy理想

引入了布尔代数的Fuzzy子代数、Fuzzy理想和Fuzzy商布尔代数的概念,给出了布尔代数的Fuzzy集是Fuzzy子代数(Fuzzy理想)的充要条件,讨论了布尔代数的Fuzzy子代数(Fuzzy理想)在布尔代数同态下的像和逆像,得到了布尔代数的Fuzzy子代数的同态基本定理。     

具有输出字符功能的模糊自动机的最小化问题

通过文献[8]中两类具有输出字符功能的Fuzzy自动机和Fuzzy有限状态自动机的强等价性,等价性和弱等价性的条件,在以往仅仅给出的Fuzzy有限状态自动机的最小化问题基础上,讨论了具有更广泛意义的具有输出字符功能的Fuzzy自动机的最小化问题,以及其最小化自动机与Fuzzy有限状态自动机的最小化自动机在不同条件下的关系。     

E-凸Fuzzy集和E-反凸Fuzzy集

研究了广义凸Fuzzy集和广义反凸Fuzzy集以及它们的性质。通过将凸Fuzzy集和E-凸集相结合,提出了一种新的广义凸Fuzzy集———E-凸Fuzzy集,使得凸Fuzzy集成为它的特例,并对E-凸Fuzzy集的性质进行了初步研究。然后,类似地,通过将反凸Fuzzy集和E-凸集相结合,提出了一种新的广义反凸Fuzzy集———E-反凸Fuzzy集,使得反凸Fuzzy集成为它的特例,并对E-反凸Fuzzy集的性质进行了初步研究。     

Fuzzy集的基数

关于Fuzzy集的基数，[1]中曾对有限支集的Fuzzy集以及极苛刻条件下的无限Fuzzy集给出过一种定义。但是，正如本文将要指出的那样，该定义是不合理的。本文将从研究Fuzzy映射入手，给出Fuzzy集基数的一般性定义。基于这一定义，不但得到有关基数的大部分结论，而且有其自身的特殊性。     

点态化的模糊幂群

文献[1]提出了点态化Fuzzy集的概念,本文利用文献[1]中定义的Fuzzy点来研究Fuzzy幂群的性质和结构.得到了一些有关Fuzzy幂群的新结果.     

广义Fuzzy逻辑回归模型的最大Fuzzy积分估计

以两个Fuzzy集的平均相容度为基础,给出广义Fuzzy逻辑回归模型的未知参数的最大Fuzzy积分估计,这种估计能给了近似地构造广义Fuzzy函数及求广义Fuzzy关系方程的近似解的一种简便方法。     

Fuzzy概率空间的Fuzzy格刻划

本文研究了Fuzzy概率空间中Fuzzy事件及概率的代数性质.利用Fuzzy概率空间中的概率为集函数这一特征和Fuzzy格的相关理论，得到了Fuzzy概率空间中的概率是从一个Fuzzy格到某个区间的Fuzzy格模同态，并将概率分解成Fuzzy格同态与Fuzzy格模同态的乘积。     

On fuzzy random multiobjective quadratic programming

In this paper, a multiobjective quadratic programming problem having fuzzy random coefficients matrix in the objective and constraints and the decision vector are fuzzy pseudorandom variables is considered. First, we show that the efficient solutions of fuzzy quadratic multiobjective programming problems are resolved into series-optimal-solutions of relative scalar fuzzy quadratic programming. Some theorems are proved to find an optimal solution of the relative scalar quadratic multiobjective programming with fuzzy coefficients, having decision vectors as fuzzy variables. At the end, numerical examples are illustrated in the support of the obtained results.     

Fuzzy Ideal Based Computational Approach for Group Decision Making Problems

In this paper, we present a computational method to fuzzy group decision making problems. A function that satisfies the properties of fuzzy ideal of semiring of positive integers is also investigated in the present paper and is used for idealizing the group preference matrix obtained by different decision makers. The proposed method appears in form of simple computational algorithms to idealize the group preference matrix and calculating total order of preference relation. Finally, the suitability of the proposed method is shown by taking an example of a human resource development (HRD) event, where it is used to select the best possible candidate by different decision makers.     

Fuzzy prioritized operators and their application to multiple attribute group decision making

In this paper, we investigate the triangular fuzzy multiple attribute group decision making (MAGDM) problem in which the attributes and experts are in different priority level. Motivated by the ideal of prioritized aggregation operators (R.R. Yager, Prioritized aggregation operators, International Journal of Approximate Reasoning 48 (2008) 263–274.), we develop some prioritized aggregation operators for aggregating triangular fuzzy information, and then apply them to develop some models for triangular fuzzy multiple attribute group decision making (MAGDM) problems in which the attributes and experts are in different priority level. Finally, a practical example about talent introduction is given to verify the developed approach and to demonstrate its practicality and effectiveness.     

An optimistic decision-making in fuzzy environment

Bellman and Zadeh have originated three systems of multistage decision processes in a fuzzy environment: deterministic, stochastic and fuzzy systems. In this article, we consider an optimization problem with an optimistic criterion on a fuzzy system. By making use of minimization–maximization expectation in a fuzzy environment, we derive a recursive equation for the fuzzy decision process through invariant imbedding approach. By illustrating a three-state, two-decision and two-stage model, we give an optimal solution through dynamic programming. The optimal solution is also verified by the method of multistage fuzzy decision tree-table.     

基于犹豫毕达哥拉斯模糊环境下的TODIM方法

在决策过程中TODIM方法能有效的捕捉决策者的心理行为。犹豫毕达哥拉斯模糊集不但能反映正反两个方面的不确定性,而且能反映决策者的犹豫程度。本文将TODIM方法扩展到犹豫毕达哥拉斯模糊集。首先定义了犹豫毕达哥拉斯模糊环境下的测量函数,用于比较两个犹豫毕达哥拉斯模糊数的大小,其次计算每个备选方案相对其它备选方案的相对优势度,然后根据相对优势度选出最佳方案。最后,用航空公司服务质量的评估来说明本文给出方法的可行性和有效性。     

On the fuzzy team decision in a changing environment

This paper formulates a fuzzy team decision problem in a changing environment. The concept of a fuzzy set is introduced to formulate the team decision processes in a dynamic environment which contains fuzzy states, fuzzy information functions, fuzzy information signals, fuzzy decision functions and fuzzy actions.     

关于模糊群的上确界性质的几个结果及其应用

研究了模糊子群的上确界性质并给出了模糊具有上确界性质的充要条件,利用它研究了循环群模糊子群的结构。最后,本文研究了一种比上确界性质弱一些的条件,在该条件下模糊可以具有好的性质。     

几类广义模糊集的关系

经过近五十年的发展,模糊集在理论与应用两个领域的研究都已经取得长足的进展,特别地,在模糊决策等应用领域,涌现了几类重要的广义模糊集,包括区间值模糊集,直觉模糊集,区间值直觉模糊集,II型模糊集,Vague集,灰集等。本文简要介绍关于这些广义模糊集之间关系的研究成果,以及国外关于直觉模糊集术语问题的争议。     

基于粗糙集的模糊决策算法

给出一种从连续决策表中提取模糊决策规则的规则提取算法。首先,转化连续属性值为模糊值;然后,给出两个不同对象的模糊属性值关于相应连续属性的相似度;其次,给出了λ相似关系与λ相似类的定义。根据λ相似关系,给出粗糙-模糊空间中的下近似与上近似概念;最后,结合模糊集与粗糙集理论的思想,给出一种从连续值域决策表获取决策规则的算法,并通过实例说明该算法的有效性。     

On the nearest parametric approximation of a fuzzy number

Many nearest parametric approximation methods of fuzzy sets are proposed in the literature. It is clear that the specific approximations may lead to the loss of information about fuzziness. To overcome this problem, most of these methods rely on the minimization of the distance between the original fuzzy set and its approximation. But these approximations mostly are not flexible to the decision maker's choice. Hence, in this paper, we offer a parametric fuzzy approximation method based on the decision maker's strategy as an extension of trapezoidal approximation of a fuzzy number. This method comprises the selection of the form of the parametric membership function and its evaluation.