考虑可信度和属性优先级的犹豫模糊决策方法

研究了考虑可信度的犹豫模糊混合集成因子以及考虑属性优先级的犹豫模糊多属性决策方法。首先给出了用于衡量数据差异程度的加权变异率公式,并证明了其具有类似于基尼系数的优良度量性质,之后在此基础上提出了可信度诱导犹豫模糊混合平均(CIHFHA)算子。针对属性权重信息未知的犹豫模糊决策问题,构建了一种新的考虑属性优先级的熵值修正G1的组合赋权方法,该方法可有效地利用属性客观评价数据以及通过考虑属性优先级体现专家意见,解决了主客观权重分配问题,得出的属性权重更加客观、合理。之后给出了一种基于CIHFHA算子和组合赋权方法的多属性决策方法,算例说明该方法的有效性和实用性。     

相对运动中一类质点运动方程的同伦摄动解

相对运动中质点的运动方程大多数是非线性的,其精确显式求解是一个难点。本文基于同伦摄动分析方法,研究了相对运动中一类质点运动非线性微分方程的近似显式解。先构造了系统的同伦方程,再结合Lindstedt–Poincare方法和系统的初始条件,推导了系统自由振动的固有频率,求解了系统的位移近似响应,并通过数值仿真验证了理论分析解的正确性,为相对运动的质点运动方程求解提供了一种新的求解方法。     

A New Hemi-and Holo-directed Lead(Ⅱ) Complex in Soft Ligand Environment

One new three-dimensional polymeric Pb~Ⅱ complex, [Pb_3(CTA)_2(H_2 O)_2]_n·nH_2 O(1),(H_3 CTA = cis,cis-1,3,5-cyclohexanetricarboxylic acid), has been synthesized. Single-crystal X-ray diffraction analyses reveal that complex 1 has a three-dimensional architecture consisting of Pb_2 O_2 dimeric building units, which shows two types of Pb~Ⅱ centers(eight-coordinated Pb(1),six-coordinated Pb(2) and Pb(3)). The eight-coordinated Pb(1) center possesses a stereochemically ?inactive? electron lone pair, and the coordination sphere is holodirected. However, the arrangement of oxygen atoms around Pb(2) and Pb(3) suggests a gap or hole in the coordination geometry. The stereo-chemically ?active? electron lone pairs of Pb(2) and Pb(3) possibly occupy these ?holes?, and their coordination spheres are hemidirected. Its properties have been determined by FT-IR spectra, elemental analyses and thermogravimetric analyses(TGA). Solid-state luminescent properties of 1 also have been determined, indicating strong fluorescent emissions.