基于四元模糊数的鱼雷作战效能评估权重分析

摘要

权重计算是鱼雷作战效能评估中的一个关键问题,通常采用层次分析法计算指标权重.作为一种主观赋权方法,层次分析法忽略了专家经验的模糊性,基于此,提出了四元模糊数层次分析法确定指标权重.该方法将传统层次分析法判断矩阵的元素由一个确定的数推广到含有模糊信息的四元模糊数,并给出了方法模型和计算步骤.采用所提方法进行了鱼雷作战效能评估指标权重应用实例的计算,结果表明该方法是一种行之有效的权重计算方法.%Weight calculating is a key issue during the process of torpedo operational effectiveness evaluation.Commonly,analytic hierarchy process(AHP for short) is applied for that purpose.As a kind of subjective weight calculating method,AHP ignores the fuzziness of the experts' experience.Based on this,quadruple-fuzzy AHP,a method that generalizes AHP by transforming the elements of the judgement matrix from single numbers to fuzzy information contained quadruple-fuzzy numbers is proposed to determine the index weight.Then the quadruple-fuzzy AHP model and the weight caculating steps are given,respectively.The results of the experiments on weight caculating of the operational effectiveness evaluation of torpedo show that the quadruple-fuzzy AHP works well on the calculating of the index weight.