Novelty of Different Distance Approach for Multi-Criteria Decision-Making Challenges Using q-Rung Vague Sets

In this article,multiple attribute decision-making problems are solved using the vague normal set(VNS).It is possible to generalize the vague set(VS)and q-rung fuzzy set(FS)into the q-rung vague set(VS).A log q-rung normal vague weighted averaging(log q-rung NVWA),a log q-rung normal vague weighted geometric(log q-rung NVWG),a log generalized q-rung normal vague weighted averaging(log Gq-rung NVWA),and a log generalized q-rungnormal vagueweightedgeometric(logGq-rungNVWG)operator are discussed in this article.Adescription is provided of the scoring function,accuracy function and operational laws of the log q-rung VS.The algorithms underlying these functions are also described.A numerical example is provided to extend the Euclidean distance and the Humming distance.Additionally,idempotency,boundedness,commutativity,and monotonicity of the log q-rung VS are examined as they facilitate recognizing the optimal alternative more quickly and help clarify conceptualization.We chose five anemia patients with four types of symptoms including seizures,emotional shock or hysteria,brain cause,and high fever,who had either retrograde amnesia,anterograde amnesia,transient global amnesia,post-traumatic amnesia,or infantile amnesia.Natural numbers q are used to express the results of the models.To demonstrate the effectiveness and accuracy of the models we are investigating,we compare several existing models with those that have been developed.

基于Vague集和响应面模型的注塑工艺多目标优化

针对注塑工艺多目标优化问题,以塑件的翘曲变形量、顶出时体积收缩率和缩痕深度作为优化目标,选取熔体温度、模具温度、注射时间、保压压力、保压时间等工艺参数为试验因素,采用中心复合试验设计结合模流分析建立试验样本,利用Vague集方法计算各优化目标相似度,通过指标相关性的指标权重确定(CRITIC)法确定各优化目标影响权重,得到综合相似度;建立综合相似度与各工艺参数之间的响应面模型,运用灰狼算法进行工艺参数寻优,得到最优工艺参数组合。结果表明,将Vague集和响应面模型相结合的优化结果显著,为实际生产过程提供了有益参考。

基于Vague集犹豫量化的机舱团队协作式评估方法

针对现有机舱团队协作评估方法不统一且主观随意性太强的缺陷,提出一种基于Vague集犹豫量化的新型评估方法。从机舱团队协作的角度对影响评估的各因素进行提取,采用集合相似系数对重要协作指标量化,并采用C-OWA算子赋权法和变异系数法确定主客观权重,利用最小鉴别信息原理求得组合权重,结合Vague集的犹豫量化特点,通过机舱团队实际操作数据与Vague集评估标准得到各指标的定性评估Vague集,并利用集合相似度分析实现机舱团队协作的综合评估。实例计算结果表明:相对于传统的评估方法,在个体完成度的基础上加入具有犹豫团队协作因素的方法,能对评估结果的犹豫度进行较好地刻画,也能很好地实现定量与定性之间的转化,是一种有效且优越的机舱团队协作式评估方法。

Fuzzy description logic based on vague sets

To enable the representation and reasoning for fuzzy ontologies with expressive fuzzy knowledge on the semantic web, a new fuzzy extension of description logics called vague ALC which is based on vague sets is presented. The definition of vague set is introduced and then the syntax and semantics of vague ALC are formally defined. The forms of axioms and assertions in the vague ALC knowledge bases are specified. Finally, the tableau algorithm is developed for the reasoning in the vague ALC. The vague ALC based on vague set uses two degrees of membership instead of a single membership degree in the fuzzy sets and is more accurate in representing the imprecision in the degrees of membership. The vague ALC has more expressive power than ALC and can represent fuzzy knowledge and perform reasoning tasks based on them. Therefore, the vague ALC can enable the representation and reasoning for fuzzy ontologies with expressive fuzzy knowledge on the semantic web.

一种新的集合理论Vague Rough sets

将不确定理论Vague集合和Rough集合相结合,提出一种新的集合理论VagueRoughsets.并讨论了其不确定性性质,如模糊度粗糙度等。

双论域区间值直觉模糊vague粗糙集及其应用

区间值直觉模糊集可诱导出vague集和粗糙集,而后两者的结合具有不确定性深入分析的优势.立足双论域区间值直觉模糊粗糙集,引入vague集进行融合扩张,研究双论域区间值直觉模糊vague粗糙集.首先,定义区间值直觉模糊vague相容类,构建双论域区间值直觉模糊vague粗糙集模型,提出关于双逼近近似和三支决策区域的计算算法,并确立该模型的精确度、粗糙度、依赖度.然后,研究该模型的近似算子与不确定性度量的性质.最后,采用医疗例子进行模型计算、度量测量、性质验证,并得到关于患者临床诊断的患病分析与治疗决策.

基于Vague Sets-topsis理论的爆破方案优选

为了解决复杂框架结构楼房爆破拆除过程中如何选择爆破方案的技术难题,建立改进的Vague Sets-topsis综合评价指标模型,对爆破方案进行优选。首先对爆破方案中的关键参数建立评审指标集;然后利用逼近理想解的排序法,计算出各个方案的综合优越度,从而确定各个爆破方案的优劣;最后以铁四院前大楼爆破为例,采用改进的Vague Sets-topsis理论模型对"内向折叠爆破"(S1)、"双向折叠爆破"(S2)和"单向折叠双切口爆破"(S3)等不同方案的关键参数进行综合对比分析,得到方案的最优排序为:S3>S2>S1。实际爆破拆除实例表明:S3拆除效果良好,证明采用改进的Vague Sets-topsis理论模型可以用于复杂框架结构楼房控制爆破拆除优选。

舰载雷达干扰效能评估的Vague软专家集方法研究

为了更好地评估舰载雷达干扰效能,本文以雷达导引头为被干扰对象进行研究,提出了基于Vague软专家集的舰载雷达干扰效能评估方法。首先,对雷达导引头进行分析得到评估集、指标集和专家集;然后,由专家打分确定Vague软专家集;最后,计算各评估等级得分,得到评估结果。结合具体计算实例,验证了新方法的有效性和实用性。

A vague-set-based fuzzy multi-objective decision making model for bidding purchase

A vague-set-based fuzzy multi-objective decision making model is developed for evaluating bidding plans in a bid- ding purchase process. A group of decision-makers (DMs) first independently assess bidding plans according to their experience and preferences, and these assessments may be expressed as linguistic terms, which are then converted to fuzzy numbers. The resulting decision matrices are then transformed to objective membership grade matrices. The lower bound of satisfaction and upper bound of dissatisfaction are used to determine each bidding plan’s supporting, opposing, and neutral objective sets, which together determine the vague value of a bidding plan. Finally, a score function is employed to rank all bidding plans. A new score function based on vague sets is introduced in the model and a novel method is presented for calculating the lower bound of sat- isfaction and upper bound of dissatisfaction. In a vague-set-based fuzzy multi-objective decision making model, different valua- tions for upper and lower bounds of satisfaction usually lead to distinct ranking results. Therefore, it is crucial to effectively contain DMs’ arbitrariness and subjectivity when these values are determined.

基于Rosetta软件和Vague集的战术机动事件检测方法

事件检测是态势觉察的重要内容,是对当前战场态势变化的感知,是态势估计的基础,能否正确检测出当前战场所发生的有意义的行为,直接影响到了态势估计的结果。提出一种基于Rosetta软件和Vague集的战术机动事件检测方法,将目标历史数据离散化,建立事件决策表;利用Rosetta软件中的遗传算法约简方法对事件决策表进行约简,得到简约决策表;将实时检测到的目标状态变化离散化,根据简约决策表建立Vague集;计算事件的相似度,根据评价体系,判断发生何种事件。仿真结果表明,这种事件检测方法,较大地提高了检测的正确率。

Modelling spatial vagueness based on type-2 fuzzy set

The modelling and formal characterization of spatial vagueness plays an increasingly important role in the imple- mentation of Geographic Information System (GIS). The concepts involved in spatial objects of GIS have been investigated and acknowledged as being vague and ambiguous. Models and methods which describe and handle fuzzy or vague (rather than crisp or determinate) spatial objects, will be more necessary in GIS. This paper proposes a new method for modelling spatial vagueness based on type-2 fuzzy set, which is distinguished from the traditional type-1 fuzzy methods and more suitable for describing and implementing the vague concepts and objects in GIS.

一种改进的Vague集相似度量公式及其在生态调度评价中应用

长江防汛期间洪水影响其下游鱼类产卵、生存等鱼类生态平衡,需要合理科学制定长江电站临时日流量生态调度方案以满足特殊时期长江下游鱼类生态需求。采用模糊集相似度作为权衡电站调制效益的准则,以长江下游水电站—向家坝水电站为例,剖析其2013—2023年4-9月份的每日水流量数据,再根据线性插值方法构建流量阈值的Vague集隶属度函数,并创建一种相似度度量公式来评价各月份水文数据。应用所建相似度对4种水文数据方案进行评估,结果得到与每个月份相似度最高的方案。探究结果可以为电站临时生态调度方案的选择和评价提供参考。

Optimal Route Selection Method Based on Vague Sets

Optimal route selection is an important function of vehicle trac flow guidance system. Its core is to determine the index weight for measuring the route merits and to determine the evaluation method for selecting route. In this paper, subjective weighting method which relies on driver preference is used to determine the weight and the paper proposes the multi-criteria weighted decision method based on vague sets for selecting the optimal route. Examples show that, the usage of vague sets to describe route index value can provide more decision-making information for route selection.

A novel vague set approach for selective contrast enhancement of mammograms using multiresolution

The proposed algorithm introduces a novel vague set approach to develop a selective but robust, flexible and intelligent contrast enhancement technique for mammograms. Wavelet based filtering analysis can produce Low Frequency (LF) and High Frequency (HF) subbands of the original input images. The extremely small size microcalcifications become visible under multiresolution techniques. LF subband is then fuzzified by conventional fuzzy c-means clustering (FCM) algorithm with justified number of clusters. HF components, representing the narrow protrusions and other fine details are also fuzzified by FCM with justified number of clusters. Vague set approach captures the hesitancies and uncertainties of truly affected masses/other breast abnormalities with normal glandular tissues. After highlighting the masses/microcalcifications accurately, both LF and HF subbands are transformed back to the original resolution by inverse wavelet transform. The results show that the proposed method can successfully enhance the selected regions of mammograms and provide better contrast images for visual interpretation.

基于记分函数的区间值Vague集的相似度量

分别利用区间的中值和Hausdorff测度将基于记分函数的实数型Vague集的相似度方法扩展到i-vVague集上,比较各种方法的优缺点.并且充分利用Vague集的性质,给出动态的i-vVague集之间的相似度量方法.

基于Fuzzy集的Vague集的模糊熵

给出了Vague集的基本概念 ,阐述了Vague集的本质及Vague集与Fuzzy集之间的关系 ;通过对投票模型的分析 ,指出了在投票模型中投中立票者仍然有某种倾向 ,且该倾向由投赞成票和投反对票的人数之比来决定 ,在此基础上提出了一种由Vague集向Fuzzy集转化的方法 。

Vague相似度量与Vague熵

The paper draws comparison and analysis among present similarity measure methods in the case of similari-ty measures between Vague values, provides a new similarity measure method, of which discusses on the normalcharacteristics, gives some relative character theorems. At the same time, it analyzes the application of fuzzy similari-ty measures in vague similarity measures and gives its normal forms such as similarity measures between Vague sets,between elements and their weighted similarity measures. Finally, vague entropy rule respectively aiming at twokinds of cases is approached and its corresponding vague entropy expressions is provided. The content of this paper isof practical significance in such fields as fuzzy decision-making, vague clustering, pattern recognition, data miningetc.

Vague集相似度量的新方法

根据区间相似性的原理,指出影响Vague集相似性度量的4个因素,指出了现有方法的不足,提出了一种新的Vague集相似性度量方法,证明了它满足若干准则。通过例子证明了方法的有效性和优越性。

J_(rv)粗糙Vague区域关系

为了处理重要的Jrv类粗糙Vague区域关系,基于Vague集和粗糙集的联合给出Jrv类粗糙Vague区域关系的数学模型表示.通过分析粗糙Vague区域关系模型的复杂粗糙变换情况,确定粗糙Vague区域关系的动态关联邻接图.基于粗糙Vague区域的上﹑下近似模型,提出Jrv类粗糙Vague原子区域关系的可能蕴涵情况表,基于蕴涵情况表给出Jrv类粗糙Vague区域关系的可能蕴涵式.给出实例模型,并对实例模型进行分析.理论研究和实例分析结果表明,该模型可以处理复杂的Jrv类粗糙Vague区域关系,极大地增强了空间数据库处理复杂不确定区域关系的能力.

Vague集的新模糊熵

对于Vague集模糊熵应该既有Vague集的未知性又有Fuzzy集的不确定性。首先在给出了反例证实,现有方法在某些情况得出的结果与实际结论不一致情况下,提出了一个真正考虑了两种因素的改进的Vague集模糊熵公理化定义,然后给出一种Vague集模糊熵的新计算公式,最后通过定理证明和实例分析,指出它确实同时考虑到Vague集的未知性和不确定性,从而证明所给出Vague集模糊熵的定义是更加合理的。