About methods for comparing interval alternatives of various kinds

V. Zhiyanov, G. Shepelev
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Abstract

Methods for comparing on effectiveness of alternatives with interval quality indicators (interval alternatives) are discussed in the paper. The methods, “mean – risk” method and method of collective risk estimating, are suitable for comparing alternatives of various kinds. The method of “mean – risk” allows, along with the value of the indicator of preference, to calculate the value of the risk indicator associated with the size of the losses when there is a possible error in choosing the “best” alternative, if it is studied independently of other available. The method of collective risk estimating allows assess the risk during choosing an effective alternative associated with the possibility of making a mistake if interval objects are compared with each other in their interconnect set. To estimate alternatives adequately it is advisable to consider both kinds of risk with using both of these methods. To implement this approach in the framework of the poly-interval approach, methods are proposed for calculating the indicators of both methods for poly-interval alternatives (fuzzy objects and alternatives, presented as generalized interval estimations).
关于比较各种区间选择的方法
本文讨论了用区间质量指标(区间选择)比较备选方案有效性的方法。“平均风险”法和集体风险估计法适用于各种方案的比较。“平均风险”方法允许与偏好指标的值一起,在选择“最佳”替代方案时可能存在错误时,计算与损失规模相关的风险指标的值,如果它独立于其他可用的替代方案进行研究。集体风险评估方法可以评估在选择有效方案时的风险,以及区间对象在互连集中相互比较时出错的可能性。为了充分评估备选方案,明智的做法是同时使用这两种方法来考虑这两种风险。为了在多区间方法的框架内实现这一方法,提出了计算多区间替代(模糊目标和替代,作为广义区间估计)的两种方法的指标的方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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