CAJ | 학술논문

综合评判决策通常涉及多个因素或多个指标,尽管目前实现综合评判的数学方法种类繁多,但是对系统中的不确定性问题仍未找到理想的解决方法。集对分析(Set Pair Analysis,SPA)实质上是一种处理系统不确定性问题的统计方法,其核心思想是通过定性与定量相结合来解决评判决策问题。利用SPA的思想,提出一种利用同异反向量夹角余弦来快速进行综合评判决策的方法。运用文中提出的方法对电力设备选型实例进行决策和分析,结果表明该方法不仅概念清晰而且计算简洁,具有较强的实用价值和较高的可靠性。
종합평판결책통상섭급다개인소혹다개지표,진관목전실현종합평판적수학방법충류번다,단시대계통중적불학정성문제잉미조도이상적해결방법。집대분석(Set Pair Analysis,SPA)실질상시일충처리계통불학정성문제적통계방법,기핵심사상시통과정성여정량상결합래해결평판결책문제。이용SPA적사상,제출일충이용동이반향량협각여현래쾌속진행종합평판결책적방법。운용문중제출적방법대전력설비선형실례진행결책화분석,결과표명해방법불부개념청석이차계산간길,구유교강적실용개치화교고적가고성。
Decision-making method using comprehensive evaluation often involves multiple factors or various indicators. Although there is a variety of mathematical methods of comprehensive evaluation,the systematic uncertainty elements have not been solved perfectly. Set Pair Analysis (SPA) is essentially a statistical method to deal with system uncertainty. A method combined the qualitative and quantita-tive used in program decision-making is its core idea. A new fast uncertainty reasoning approach is presented by way of the cosine of i-dentical discrepant contrary vector angle based on SPA. The practical decision making and analyzing of power equipment selection indi-cates that the concept is clear and the computing is concise. It also proves the preferable practicability and perfect reliability of the ap-proach.