CAJ | 학술논문

针对指标值以区间数形式给出的多指标决策问题，提出一种改进的灰色关联与D-S证据理论结合的决策方法。为避免造成指标不确信度的偏离，本文应用灰色区间数距离来计算指标不确信度。在此基础上，构建多指标下备选方案的Mass函数，通过Dempster合成法则进行信息融合，根据置信函数大小对方案进行排序。算例分析结果表明：本文方法进一步降低了决策的初始不确定性和融合后的整体不确定性，扩大了不同方案置信函数之间的差距，使各方案的优劣性更加明显，有利于决策者做出选择。
침대지표치이구간수형식급출적다지표결책문제，제출일충개진적회색관련여D-S증거이론결합적결책방법。위피면조성지표불학신도적편리，본문응용회색구간수거리래계산지표불학신도。재차기출상，구건다지표하비선방안적Mass함수，통과Dempster합성법칙진행신식융합，근거치신함수대소대방안진행배서。산례분석결과표명：본문방법진일보강저료결책적초시불학정성화융합후적정체불학정성，확대료불동방안치신함수지간적차거，사각방안적우렬성경가명현，유리우결책자주출선택。
As for the multiple attribute decision making, in which the attribute values are in the form of interval numbers, a method based on improved grey incidence and D-S theory evidence is proposed. In order to avoid deviating accuracy, the distance of grey interval number is used to analyze the uncertain degrees of different indices . Based on this, the Mass functions of different projects in different indices are obtained, and the rule of Dempster combination is used to fuse information, and the belief function values are ordered to sort the projects. The example analysis show that, the uncertainty of decision making can be decreased further, and also the gap among the belief function value of different projects has been enlarged, which makes the projects′ advantages and disadvantages more obvious and will be more easier for decision making.