二维变量信息视角下的概率犹豫模糊集决策方法研究

将概率犹豫模糊集中的隶属度与概率看作二维变量信息,在二维变量信息条件下研究概率犹豫模糊集多属性决策问题。首先,将概率犹豫模糊数书写形式改为点坐标形式,并在此形式下建立概率犹豫模糊元几何距离函数模型与离差程度系数模型;其次,属性的评价值为概率犹豫模糊元,在考虑其内部元素的离差程度与相互之间离差程度基础上,采用熵值法确定属性权重;再次,使用新定义的几何距离函数与离差程度系数函数计算由概率犹豫模糊元组成的属性值,得到属性的综合值,并利用Maclaurin对称平均算子对各方案属性的综合值进行集结,通过比较集结的方案属性综合值大小对各方案进行排序;最后用一个数值算例对本文方法进行验证分析,结果表明,该方法能够快速取得有效的排序结果。     

加权的概率犹豫模糊集的三维向量测度法与决策应用

为了更加精细化地描述概率犹豫模糊集,将概率犹豫模糊元中的隶属度添加相应的决策专家权重,并由此提出了加权的概率犹豫模糊集概念.用三维向量表示加权的概率犹豫模糊数,在此基础上建立了加权的概率犹豫模糊元的三维向量得分函数模型、三维向量离差函数模型、2个加权的概率犹豫模糊元的大小比较规则与距离测度模型.分别给出了属性的外部权重、内部权重以及综合权重的计算方法.在属性的3种权重条件下,运用方案的整体得分值与内部决策专家评价差异值2个因素计算方案的综合属性值,进而对各个方案排序.决策结果表明,在利用三维向量刻画加权的概率犹豫模糊集的基础上建立的决策算法不但有效可行,而且提供了一种多元化的决策方法.     

加权概率犹豫模糊集多属性群决策算法及应用

对于概率犹豫模糊集中的不同隶属度值赋予了决策专家的综合权重,由此构造出一种蕴含信息量更大、更方便解决决策问题的概率犹豫模糊集合——加权概率犹豫模糊集.针对加权概率犹豫模糊集中的加权概率犹豫模糊元,在使用三维点坐标进行描述的基础上建立加权概率犹豫模糊元的三维得分值模型、三维离差值模型、2个加权概率犹豫模糊元的几何距离模型以及大小判别准则.结合决策专家的综合权重与属性的综合权重提出一种确定正理想方案与负理想方案的方法,基于TOPSIS思想给出一种新的贴近度公式,并利用新的贴近度公式来鉴别各方案优劣.最后,通过一个数值算例说明文中理论与方法的可行性.     

一种数学检索结果排序中的多隶属度评价方法

针对现有数学检索排序方法所存在的排序属性单一问题,提出一种基于犹豫模糊距离的科技文档多属性综合排序方法。归纳科技文档的评价特征,确立了包括数学表达式几何属性、文档重要性属性和全局属性的三元组;建立以数学查询表达式为标准的科技文档犹豫模糊集,定义了各指标对应的犹豫模糊隶属度函数;利用犹豫模糊集在多属性决策方面的优势,采用文档相似度评价方法对检索结果进行排序。不同领域包含345027个数学表达式的19964篇科技文档的排序对比实验,表明本方法比科技文档单一属性排序方法的合理性有一定的提高。     

基于改进质量功能展开的质量特性重要度确定

针对传统质量功能展开(QFD)质量屋构建过程存在语言评价信息模糊和不确定等问题,提出一种结合犹豫二元语义变量、层次分析法和逼近理想解排序多属性决策法的改进QFD模型,用以对产品质量特性的重要度级别进行确定.模型分为评价用户需求与质量特性的关系、确定用户需求的重要度权重、确定质量特性的重要度排序3个阶段,提高了质量特性重要度排序的准确性.最后以某企业一语言类数字学习系统的质量特性重要度确定为例,进行了模型应用和有效性验证,为以用户为中心的数字学习系统设计质量提升提供参考.     

基于TPOP法的犹豫模糊语言稳健型多粒度群决策

多粒度群决策是从决策信息中的多粒度特征出发,利用粒计算模型对群决策问题进行高效建模与分析的过程.现有多数多粒度群决策方法仅可提供单一的决策结果,然而不同方法带来的决策结果往往存在差异.为了深入探索犹豫模糊语言信息系统中的稳健型多粒度群决策方法,依据多粒度概率粗糙集、MULTIMOORA (Multi-Objective Optimization by Ratio Analysis Plus the Full Multi-plicative Form)和TPOP (Technique of Precise Order Preference)建立一种面向多粒度群决策的新型犹豫模糊语言多粒度计算方法 .首先结合犹豫模糊语言术语集与多粒度概率粗糙集,提出犹豫模糊语言多粒度概率粗糙集模型,然后依据离差最大化法计算属性权重与决策者权重,并结合TPOP建立犹豫模糊语言稳健型多粒度群决策方法 .最后,通过医学实例验证提出方法的可行性与有效性.     

基于区间犹豫模糊TOPSIS法的多属性群决策

基于区间犹豫模糊元,定义广义区间犹豫模糊元的距离公式,提出区间犹豫模糊逼近理想解排序(IVHF-TOPSIS)法,用于处理属性评价值为区间犹豫模糊元的多属性群决策问题.在权重向量未知的情况下,根据给定的属性评价值和最大化离差度方法确定权重,用IVHF-TOPSIS法得到所有方案的贴进度系数,再结合贴近度系数的大小对所有方案排序并选出最优方案,并将所提方法用于解决某网络企业的仓库选址问题.     

区间值直觉犹豫模糊多属性决策方法研究

针对评价信息为区间值直觉犹豫模糊集的多属性决策问题,结合ELECTRE-I和TOPSIS方法,提出了一种解决区间值直觉犹豫模糊多属性决策问题的方法。基于区间值直觉犹豫模糊元得分函数,提出了一种新的确定属性权重的方法。将经典的ELECTRE-I和TOPSIS拓展到区间值直觉犹豫模糊环境下,定义了绝对和谐指标与不和谐指标,相对优势指标和综合优势指标。根据综合优势指标得到方案的排序。最后提供了一种基于区间值直觉犹豫模糊信息的多属性问题的决策步骤,并进行了算例分析与比较分析,证明了该方法的有效性。     

基于犹豫模糊语言信息的EDAS决策方法

针对个体偏好用犹豫模糊语言术语表达的多属性决策问题,提出了一种离平均方案(平均解)距离的评价(EDAS)方法.该方法利用犹豫模糊语言加权平均算子计算平均方案.采用可能度公式对两个犹豫模糊语言术语集进行比较,然后依据EDAS方法的思想,确定各方案与平均方案的正向距离值与反向距离值.通过把两种距离值综合,得到各方案的综合评价值,用以对方案进行排序.最后结合案例说明该决策过程以及方法的有效性和合理性.     

基于区间值犹豫模糊多粒度粗糙集的三支决策模型

针对区间值犹豫模糊信息系统,提出了两种基于区间犹豫模糊多粒度粗糙集的三支决策模型。首先,借助多粒度粗糙集理论,提出乐观和悲观区间犹豫模糊多粒度粗糙集模型。其次,引入区间犹豫模糊连续交叉熵的概念,用TOPSIS方法来计算对象在不同情况下的条件概率。基于此,定义区间犹豫模糊决策理论粗糙集并给出相应的三支决策规则。最后,通过实例验证了这两种模型对目标评估采取不同的态度和决策方案,并且证明了所提算法的有效性。     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

An Analysis of Catherine＇s Character——Wuthering Heights

Wuthering Heights, Emily Bronte＇s only novel, was published in December of 1847 under the pseudonym Ellis Bell. The book did not gain immediate success, but it is now thought one of the finest novels in the English language. Catherine is the key character of this masterpiece, because everybody and everything center on her though she had a short life. We can understand this masterpiece better if we know Catherine well.     

Lower Paleozoic oil relationships within Williston Basin, Canada

The Williston Basin is a significant petroleum province, containing oil production zones that include the Middle Cambrian to Lower Ordovician, Upper Ordovician, Middle Devonian, Upper Devonian and Mississippian and within the Jurassic and Cretaceous. The oils of the Williston Basin exhibit a wide range of geochemical characteristics defined as "oil families", although the geochemical signature of the Cambrian Deadwood Formation and Lower Ordovician Winnipeg reservoired oils does not match any "oil family". Despite their close stratigraphic proximity, it is evident that the oils of the Lower Palaeozoic within the Williston Basin are distinct. This suggests the presence of a new "oil family" within the Williston Basin. Diagnostic geochemical signatures occur in the gasoline range chromatograms, within saturate fraction gas chromatograms and biomarker fingerprints. However, some of the established criteria and cross-plots that are currently used to segregate oils into distinct genetic families within the basin do not always meet with success, particularly when applied to the Lower Palaeozoic oils of the Deadwood and Winnipeg Formation.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

Call for Papers

<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with