Fuzzy AHP法在企业购并中的运用

根据三角模糊数的概念,构造待购并企业的模糊判断矩阵,再利用FuzzyAHP法对侯选购并目标进行排序,从而为企业选择合理的目标购并对象提供一种新的评价方法。

Triangular lattice formation in robot swarms with minimal local sensing

The problem of triangular lattice formation in robot swarms has been investigated extensively in the literature,but the existing algorithms can hardly keep comparative performance from swarm simulation to real multi‐robot scenarios,due to the limited computation power or the restricted field of view(FOV)of robot sensors.Eventually,a distributed solution for triangular lattice formation in robot swarms with minimal sensing and computation is proposed and developed in this study.Each robot is equipped with a sensor with a limited FOV providing only a ternary digit of information about its neighbouring environment.At each time step,the motion command is directly determined by using only the ternary sensing result.The circular motions with a certain level of randomness lead the robot swarms to stable triangular lattice formation with high quality and robustness.Extensive numerical simulations and multi‐robot experiments are conducted.The results have demonstrated and validated the efficiency of the proposed approach.The minimised sensing and computation requirements pave the way for massive deployment at a low cost and implementation within swarms of miniature robots.

阶梯状三角模

利用二元常值函数和Go del三角模构造了一族新的三角模,由于其图象具有阶梯状的外观,因此称此类三角模为阶梯状三角模;并证明了Klement在其著作Triangular Norms中由离散三角模引出的三角模是这类阶梯状三角模的一类特殊情形。

广义序和三角模的构造及其逆定理

从代数上来说，序和三角模是半群的序和定理的不完全推论。从图像上来描述，序和三角模是将一组三角模缩小后排列在单位立方[0，1]。体对角线上，再在其它位置取Godel三角模得到新三角模。本文首先从三角模的角度给出序和定理的完全推论，即将一组三角模在（0，1）。上的部分缩小后排列在单位立方[0，1]。体对角线上（序和是对三角模整体缩小），再在其它位置取Godel三角模得到的新三角模。然后，再从反方向出发，给出一个充要条件，使得满足该条件时，可以从一个已知三角模上截取一部分将其放大为一个新三角模。