基于区间二型模糊集的轮系传动方案综合评价

Comprehensive evaluation of wheel train transmission schemes based on interval type-2 fuzzy sets

传统方案评价缺少合理的方法指导、主观性强,同时轮系传动方案评价指标复杂多样,难以从定性评价转换至定量评价。针对轮系传动方案的综合评价及优选问题,提出了基于区间二型模糊集(IT2FSs)的轮系传动方案综合评价方法,建立了相关的综合评价数学模型。首先,在考虑了轮系传动方案的静态特性、动态特性及结构特征的基础上,构建了多层次、多源异构性的综合评价指标体系;然后,采用了基于IT2FSs的模糊层次分析(FAHP)法,并结合了区间二型依赖有序加权平均(IT2DOWA)算子的方法,以分配指标权重;采用了构建评价函数的方法,对评价指标数据进行了预处理,以解决复杂指标数据不可量化的问题;针对不同数据类型的指标存在无法统一度量的问题,采用了概率统计结合模糊综合评价(FCE)的方法,对于轮系传动方案进行了定量化的综合评价;最后,以某轮系传动方案为例,根据仿真分析和理论推导,说明了评价方法的可行性;采用鲁棒性分析方法,对基于IT2FSs的轮系传动方案综合评价方法的有效性进行了验证。研究结果表明:该方案的定量化综合评价分数值为62.53,评价结果良好,基本满足使用需求;鲁棒性分析中的所有方案均保持了原先排名,说明该方法具有一定的抗干扰性。

There are some problems in traditional scheme evaluation,such as lack of reasonable method guidance and strong subjectivity.At the same time,the evaluation indexes of gear train transmission scheme are complex and diverse,so it is difficult to convert scheme evaluation from qualitative evaluation to quantitative evaluation.Aiming at the problem of comprehensive evaluation and optimal selection of the wheel train transmission schemes,a comprehensive evaluation method based on interval type-2 fuzzy sets(IT2FSs)was proposed,and the comprehensive evaluation mathematical model was established.Firstly,a multi-level and multi-source heterogeneity comprehensive evaluation index system was constructed considering the static characteristics,dynamic characteristics,and structural features of the various wheel train transmission schemes.Then,a fuzzy analytic hierarchy process(FAHP)method based on IT2FSs combined with the interval type-2 dependent ordered weighted average(IT2DOWA)operator was proposed to assign index weights.The method of constructing evaluation functions was used to complete the pre-processing of index data to solve the problem of unquantifiable data of the complex evaluation indexes.To address the problem that indexes of different data types could not be measured uniformly,the probabilistic statistics method combined with fuzzy comprehensive evaluation(FCE)method was used to achieve a quantitative comprehensive evaluation of the wheel train transmission schemes.Finally,the feasibility of the evaluation method was illustrated based on the simulation analysis and theoretical derivation of a wheel train transmission scheme,and the effectiveness of the comprehensive evaluation method based on IT2FSs was verified by using robustness analysis.The research results show that the quantified comprehensive evaluation score of this scheme is 62.53,which is good and basically meets the requirements of use,and all the schemes maintain their original rankings in the robustness analysis,which indicates that this method has certain anti-interference capability.