基于博弈论多层次灰色综合评价法的女性家用椭圆机设计策略研究

Design Strategy of Female Household Elliptical Machine Based on Game Theory Multilevel Grey Comprehensive Evaluation Method

目的为降低设计师主观认知偏差,建立女性家用健身器材设计指标评价体系,为设计女性家用健身器材提供设计方法与方案借鉴。方法首先采用问卷调研、焦点访谈法及德尔菲法,调研并整理出女性对于家用健身器材的需求,进行指标体系的构建;其次通过AHP法与CRITIC法计算指标的主、客观权重,引入博弈论将权重综合;最后运用TOPSIS-GRA决策评价模型,对三款女性家用健身器材确定方案优选排序,选出最优结果。结果通过AHP与CRITIC赋权法相结合,得到女性用户在选购家用健身器材的偏好排序。对女性用户而言,重要程度排序从易于装配、产品质量、符合人体工程学等指标依次递减。此外,产品的智能与否与收纳难易也是女性关注的重点。结论经过验证,证实了该模型的客观性与科学性。该模型能够有效地解决复杂、多维度的方案优选问题及量化抽象指标等问题。按照层次结构关系构建清晰完整的评价体系,通过方案的验证,证明模型具有较强的鲁棒性。

The work aims to establish an evaluation system of indicators for women's home fitness equipment design,and provide design methods and cases for designing women's home fitness equipment so as to reduce the subjective cog-nitive bias of designers.Questionnaire research,focus interview method and Delphi method were used to research and organize women's needs for home fitness equipment,and construct an index system.The AHP and CRITIC methods were used to calculate the subjective and objective weights of the indicators,and the game theory was introduced to synthesize the weights;Finally,the TOPSIS-GRA decision-making evaluation model was used to determine the preferential ranking of the three women's home fitness equipment programs,and the optimal results were selected.The preference ranking of female users in shopping for home fitness equipment was obtained by combining AHP and CRITIC assignment method.For female users,the order of importance decreased in descending order from easy assembly,product quality,and ergo-nomics.In addition,whether the product was smart or not and the difficulty of storage were also the key concerns of women.In conclusion,after validation,the objectivity and scientificity of the model were confirmed.The model can ef-fectively solve the complex,multi-dimensional program selection problems and quantitative abstract indicators.A clear and complete evaluation system is constructed according to the hierarchical relationship,and the model is proved to be robust through the validation of the program.