基于Vague集模糊推理的多评价指标模糊决策方法

目前在智能领域中对Vague集的研究已越来越广泛与深入,并运用于决策问题中,有学者已把Vague集用于多评价指标的模糊决策中,但其决策方法在某些时候却难以得到目标。为此,本文提出了一个基于Vague集模糊推理的多评价指标模糊决策方法。在这个方法中,从基于Vague集的模糊推理的观点来看待模糊决策问题。将评价指标和候选方案之间的关系用一组基于Vague集的推理规则来表示,将决策者的要求用一组Vague集来表示,经过模糊推理等过程最后得到决策结果。然后还给出了一个实例说明这种多评价指标模糊决策方法。这个基于Vague集模糊推理的多评价指标模糊决策方法的提出为决策系统提供了一个有用的工具。     

基于Vague集的模糊决策方法

目前在智能领域中对Vague集的研究已越来越广泛与深入．并运用于决策问题中．为了更加有效地进行模糊决策，提出了一个基于Vague集的模糊决策方法．在这个方法中，对约束条件，从它出现的可能性和不出现的可能性以及未知是否出现的可能性三个方面去综合处理．使得决策更加准确和有效．还给出了一个实例说明这种基于Vague集的模糊决策方法．这个基于Vague集的模糊决策方法的提出，为决策系统提供了一个有用的工具．     

Vague软集的新模糊熵及其应用

依据软集、Vague集、Vague软集现有理论,参考Vague集模糊熵度量方法,对Vague 软集模糊熵的公理化定义进行了补充,修正了原有公理化定义中不完整的地方;提出了一种新的计算Vague 软集模糊熵的公式,并给出了其在决策中的应用实例及分析。实例分析表明该Vague 软集模糊熵公式具有良好的应用效果。     

基于Vague集的教学质量多指标模糊评价

针对课程教学质量评估的模糊性和不确定性问题,通过构建一个多指标模糊评价模型,利用改进的层次分析法确定各评价指标权重,提出一种基于Vague集算术运算的教学质量综合评价方法.以西安石油大学<材料成形原理和工艺>课程为例进行验证分析,结果表明该模型具有较高的工程实用性.     

基于距离的Vague熵

对现有Vague集的模糊熵的缺陷进行了分析,给出了符合人们直觉的Vague集的模糊熵的公理化定义,提出了一种能准确体现未知性和模糊性二者相互关系的新的Vague熵计算公式,证明了其具有良好的数学特性,并通过多个实例与现有方法对比,说明它确实准确地考虑了二者的互相约束关系,所得结果更合理,更符合人的直觉.     

Vague软集的模糊熵和它的一些性质

Vague软集理论被认为是一种新的处理不确定信息的数学工具,而模糊熵又是度量各种不确定信息的重要技术.文章基于Vague集思想和软集思想之间的联系,以及Vague集与软集现有理论,在Vague集模糊熵公理化定义的基础上,初步提出了Vague软集的模糊熵的公理化定义.同时给出了一种Vague软集的模糊熵的计算公式,并在此基础上证明了我们的模糊熵公式具有一些良好的数学性质.所得结果扩展了Vague软集理论的研究范围,并提出了该领域未来可研究的方向.     

Vague集的代数性质与Vague熵

Vague集的模糊熵既要有Vague集的未知性又要有fuzzy集的不确定性,首先介绍Vague集的相关代数性质,然后通过分析现有Vague熵构造方法上的不足,提出一种同时考虑以上两种特性新的基于公理化Vague熵的定义及模糊熵的计算公式,通过论证和举例分析,指出这种新的模糊熵更合理,更符合人们的直觉。     

基于Vague集的时态数据库

为了更加精确地表示模糊信息,数据库的模糊属性采用Vague集来表示.基于Vague集的数据库模型与现有模糊关系数据模型相比,有更强的模糊表达能力,数据库中的每一数据及元组均可分别从真、假隶属度及未知程度三个侧面予以体现.在Vague数据库模型的基础上进行了扩展,提出了基于Vague集的时态数据库,为进一步研究Vague时态数据库的数据模型、数据理论等相关问题打下了基础.     

基于Vague集的软件质量综合评价

基于McCall软件质量度量模型,在传统的模糊综合评价方法的基础上提出一种新型的软件质量综合评价方法:基于Vague集的综合评价方法.这是一种更有效的软件质量评价方法.     

基于Vague集的含洞不规则Vague区域关系

模糊区域的空间信息表示和区域关系处理在空间数据库、地理信息系统和人工智能等领域具有重要的意义.引入Vague集的概念和理论对含洞不规则Vague区域关系进行了系统的研究.基于Vague集给出了Vague区域、Vague洞和原子域等概念;将含洞不规则Vague区域分成原子域,研究了原子域间的空间关系;联合原子域关系,给出了含洞不规则Vague区域关系.研究成果可较好地处理含洞不规则Vague区域内的模糊点不确定的隶属信息和复杂的含洞不规则Vague区域的空间关系的表示和分析等问题.     

An enhanced method and its application for fuzzy multi-criteria decision making based on vague sets

Ye [Ye Jun. Improved method of multicriteria fuzzy decision making based on vague sets. Computer-Aid Design 2007;39:164–9] presented an improved method to handle multi-criteria fuzzy decision-making problems based on vague set theory. He/She provided some functions to measure the degree of suitability of each alternative with respect to a set of criteria presented by vague values. However, in some cases, these functions do not give sufficient information about alternatives. Therefore, in this paper, an enhanced method is provided to measure the accuracy membership of each alternative so as to give additional information for the decision maker. In addition, to making computing and ranking results easier and to increase the recruiting productivity, a computer-based decision-support system is also developed, which may help to make a decision more efficiently.     

Investment project evaluation by a decision making methodology based on type-2 fuzzy sets

Although investment projects supported by the state are extremely important in terms of national policy the projects to be transferred from the common public funds brings with it many problems. Highly transparent and comprehensive evaluation model are required to transfer the public resources to the right investment projects. It is necessary to consider many criteria for the evaluation of an investment project. These criteria are generally subjective and extremely difficult to express in numbers. However, using the fuzzy sets provide huge facilities to decision makers in project evaluation process with linguistic variables and measurement challenges. In this study, a new evaluation model for investment projects have been proposed for development agencies operating in Turkey. To address ambiguities and relativities in real world scenarios more conveniently, type-2 fuzzy sets and crisp sets have been simultaneously used. The proposed model for the investment project evaluation problem composed of type-2 fuzzy AHP and type-2 fuzzy TOPSIS methods. The proposed fuzzy MCDM method consists of three phases: (1) identify the criteria to be used in the model, (2) type-2 fuzzy AHP computations, (3) evaluation of investment projects with type-2 fuzzy TOPSIS and determination of the final rank. To perceive proposed model better, an application with real case data have been performed in Middle Black Sea Development Agency in Turkey. As a consequence of this application, it has been observed that the proposed model have proved effective in evaluation of alternatives in multi-criteria group decision making problems in a broader perspective and flexible fashion.     

Fault diagnosis of turbine based on fuzzy cross entropy of vague sets

The fuzzy cross entropy of vague sets, so-called vague cross entropy, is introduced by analogy with the cross entropy of probability distributions. And then a new method of the fault diagnosis is proposed on the basis of the vague cross entropy and is applied to the fault diagnosis of turbine. The vague cross entropy between a testing sample and the knowledge of system faults is evaluated in the fault diagnosis of the turbine vibration. If the cross-entropy value is small, the testing sample is near to a type of fault knowledge. Then, the type of vibration fault is determined according to the minimum cross-entropy value. The fault-diagnosis example of the turbine demonstrates that the proposed method cannot only diagnose the main fault types of the turbine, it can also detect useful information for future trends and multi-fault analysis.     

Improved method of multicriteria fuzzy decision-making based on vague sets

An improved method is presented, which provides improved score functions to measure the degree of suitability of each of a set of alternatives, with respect to a set of criteria presented with vague values. The improved algorithm for score functions is introduced by taking into account the effect of an unknown degree (hesitancy degree) of the vague values on the degree of suitability to which each alternative satisfies the decision-maker’s requirement. The meaning of the proposed function is more transparent than that of other existing functions, which are not reasonable in some cases. The proposed function illustrates that it has stronger discrimination in comparison with previous functions. The applicability of this improved multicriteria fuzzy decision-making approach is also demonstrated by means of examples. The improved method can be used to rank the decision alternatives according to the decision criteria. The functions proposed in this paper can provide a more useful technique than previous functions, in order to efficiently help the decision-maker.     

一个新的信息系统敏捷性度量模型

针对信息系统的敏捷性难以客观量化的问题,基于模糊综合评价法建立了信息系统敏捷性度量模型。此模型面向企业敏捷性,指标的提炼比较深入和全面,具有实用性和可操作性;由于各敏捷性度量指标的边界不清晰,给评分带来一定难度,采用了Vague集评分法,增加了评分的客观性。经实例验证,所建立的模型比较有效。     

A soft computing method of performance evaluation with MCDM based on interval-valued fuzzy numbers

This study presented a new performance evaluation method for tackling fuzzy multicriteria decision-making (MCDM) problems based on combining VIKOR and interval-valued fuzzy sets. The performance evaluation problem often exists in complex administrative processes in which multiple evaluation criteria, subjective/objective assessments and fuzzy conditions have to be taken into consideration simultaneously in management. Here, the subjective, imprecise, inexact and uncertain evaluation processes are modeled as fuzzy numbers by means of linguistic terms, as fuzzy theory can provide an appropriate tool to deal with such uncertainties. However, the presentation of linguistic expressions in the form of ordinary fuzzy sets is not clear enough [15] and [21]. Interval-valued fuzzy sets can provide more flexibility [4] and [14] to represent the imprecise/vague information that results, and it can also provide a more accurate modeling. This paper presents the interval-valued fuzzy VIKOR, which aims to solve MCDM problems in which the weights and performances of criteria are unequal by using the concepts of interval-valued fuzzy sets. A case study for evaluating the performances of three major intercity bus companies from an intercity public transport system is conducted to illustrate the effectiveness of the method.     

The reliability of general vague fault-tree analysis on weapon systems fault diagnosis

An algorithm of vague fault-tree analysis is proposed in this paper to calculate fault interval of system components from integrating expert's knowledge and experience in terms of providing the possibility of failure of bottom events. We also modify Tanaka et al's definition and extend the new usage on vague fault-tree analysis in terms of finding most important basic system component for managerial decision-making. In numerical verification, the fault of automatic gun is presented as a numerical example. For advanced experiment, a fault tree for the reactor protective system is adopted as simulation example and we compare the results with other methods. This paper also develops vague fault tree decision support systems (VFTDSS) to generate fault-tree, fault-tree nodes, then directly compute the vague fault-tree interval, traditional reliability, and vague reliability interval.     

基于区间数和理想解的信息安全风险评估研究*

在信息安全风险评估的过程中需要收集多位专家的评估意见作为基础数据,为了更准确地提取专家意见中包含的信息,对基于区间数模糊综合评判的风险评估模型提出了一种改进方案。该方案建立了一种新的评判矩阵形式,为专家提供了更大的表达意见的空间,同时保留给出评估意见的每一位专家的信息,使意见与其出处可以一一对应。然后通过逼近理想解法计算每位专家所给意见的准确度,经过汇总以得到更合理的评判结果,最后对一个实际的系统进行了实例计算,验证了该方法的可行性和合理性。     

动态模糊综合评判在教学质量评价中的应用

根据教学质量评价的特点,针对传统模糊综合评判的不足,主要是针对其评价结果不能很好地反映评价目标的动态发展趋势的问题,提出了基于动态模糊理论的教学质量综合评判方法,给出了一种基于群体可拓层次分析法的动态模糊权重确定方法和动态模糊关系矩阵的确定方法,并结合一个具体的评价实例,验证了所提方法的科学性和客观性。