Some interval-valued intuitionistic uncertain linguistic hybrid Shapley operators

Two interval-valued intuitionistic uncertain linguistic hybrid operators cal ed the induced interval-valued intuitionistic uncertain linguistic hybrid Shapley averaging （I-IIULHSA） operator and the induced interval-valued intuitionistic uncertain linguistic hybrid Shapley geometric （I-IIULHSG） operator are defined. These operators not only reflect the importance of elements and their ordered positions, but also consider the correlations among elements and their ordered positions. Since the fuzzy measures are defined on the power set, it makes the problem exponentially complex. In order to simplify the complexity of solving a fuzzy measure, we further define the induced interval-valued intuitionistic uncertain linguistic hybrid λ-Shapley averaging （I-IIULHλSA） operator and the induced interval-valued intuitionistic uncertain linguistic hybrid λ-Shapley geometric （I-IIULHλSG） operator. Moreover, an approach for multi-attribute group decision making under the interval-valued intuitionistic uncertain linguistic environment is developed. Finally, a numerical example is provided to verify the developed procedure and demonstrate its practicality and feasibility.     

基于乘法群Z_p~*的ELGamal公钥密码系统

为了解决发送方与接收方不能识别对方身份的问题,在研究ElGamal密码体制的基础上,给出了一种基于乘法群Zp*的ELGamal公钥密码体制。结果表明:该算法可以实现通信双方的双向身份认证,有效地防止了攻击者冒充发送方伪造要发送的消息。同时该算法在通信过程中加入了可以追踪消息来源的信息,使得接收者可以对消息的真实性进行有效的验证。通过对消息的双重保护,该体制实现了在公开信道上的安全通信。     

第一西洛定理的若干注记

给出了第一西洛定理的三种不同的证明方法.     

一种广义Bent函数非存在性证明

广义Bent函数具有良好的组合学和密码学性质,在通信、密码学等领域具有重要的应用价值.将Z2p上的广义Bent函数等价地转换为一种分裂型相对差集,通过集合分解,证明了这类相对差集的不存在性,从而用一种新方法证明了Z2p上不存在广义Bent函数.     

基于中原组团发展的"中原金三角"竞争力提升研究

郡县治则天下治。县城作为农村之首,城市之尾,聚集了不少非农业人口,是地域性经济文化中心,是城市化发展的节点,是大城市连接小城镇的桥梁和纽带,在推动城镇化战略中必将扮演重要角色。在中原城市群中以郑州、洛阳、许昌三市为顶点的三角区域里,有六个文化相同、地理位置相连的县(市)的发展尤其令人瞩目,被称为区域经济强县统筹发展组团——中原组团,这六个县(市)连同龙头巩义市一起,形成了中原城市群的隆起区,为郑州、洛阳、许昌三市国内生产总值(GDP)名列河南省的第一、第二和第四位作出了贡献,而这三市GDP的总和占中原城市群的57%,约为全省的三分之一,使郑、洛、许三市经济发展成为名副其实的中原金三角。     

W(2,2,)的GL(2,F)-模结构

对素域F上的限制模李超代数W(2,2,),定义了一般线性群GL(2,F)在其上的作用,并对W(2,2,)作为GL(2,F)-模的结构作了讨论.     

关于PSL_2（8）结构的一个注记

若HgH=HHg,g∈G成立,则称H为G的共轭置换子群.记为H     

高校学生非正式群体问题探析

大学生与非正式群体有密切联系,非正式群体是思想政治工作的突破口,就非正式群体产生的原因及其特点,笔者认为应把握好三个原则,即平等互利、信任相容、抓主要矛盾;掌握三个方法,即亲近支持、区别对待、加强经常性教育与引导、抓核心人物兼顾其他,才能够将许多工作落到实处,将高校学生思想政治工作做得更好。     

高维Jorgensen不等式的应用

应用高维Jorgensen不等式得到了如下定理 :设g、h∈M( Rn) ,g是严格抛物元 ,是离散群 ,g和h无公共不动点 ,那么对 x∈Hn+ 1,sinh 12 ρ(x ,gx)sinh 12 ρ(x ,hgh- 1x)≥ 14。     

Consensus intuitionistic fuzzy group decision-making method for aircraft cockpit display and control system evaluation

A novel group decision-making (GDM) method based on intuitionistic fuzzy sets (IFSs) is developed to evaluate the ergonomics of aircraft cockpit display and control system (ACDCS). The GDM process with four steps is discussed. Firstly, approaches are proposed to transform four types of common judgement representations into a unified expression by the form of the IFS, and the features of unifications are analyzed. Then, the aggregation operator called the IFSs weighted averaging (IFSWA) operator is taken to synthesize decision-makers’ (DMs’) preferences by the form of the IFS. In this operator, the DM’s reliability weights factors are determined based on the distance measure between their preferences. Finally, an improved score function is used to rank alternatives and to get the best one. An illustrative example proves the proposed method is effective to valuate the ergonomics of the ACDCS.