一种面向移动三支决策模型的有效性度量方法研究

Effectiveness Measure Approach for Movement-based Three-way Decision Model

三支决策的基本思想是以"三"思考.随着理论的深入研究,2018年,姚一豫教授提出三支决策的TAO模型(Trisectingacting-outcome),即在原有分治模型基础上,增加了新的要素-"效",形成分(Trisecting)-治(Acting)-效(Outcome)结合的三支决策TAO模型.依托TAO模型,关注于’治’-’效’两步,研究策略施加后模型的有效性.在一类特殊的三支决策模型—基于移动的三支决策模型基础上,提出使用比例效用函数来度量三支决策的有效性,即将决策前后的决策对象变化量和最终状态量的比例值作为效用值.然后分别进行基于对象独立治略,等价类独立治略,区域独立治略的3种治略策略下的三支决策模型有效性度量研究,给出了一种基于比例效用函数的效用度量方法,并通过实例来解释和说明本文提出的模型有效性度量方法.

The basic idea of three-way decision( 3 WD) is to think in " three". In 2018,Yao proposed the TAO( Trisecting-acting-outcome)model of three-way decision based on the original trisecting-and acting model of three-way decision by adding the third components-’Outcome’ which is used to measure the three-way decision,thus,the theory has been greatly enriched. In this paper,we propose a proportional utility function which is to measure movement-based three-way decision by focusing on the last two-step process( Acting&Outcome) of TAO model. The value of the function is used as the quality change between the final state quantity and before one action used on the three regions. More specifically,we measure the outcome in movement-based three-way decision based on object independent,equivalence class independent,region independent respectively. The measure method of outcome in movement-based three-way decision based on proportional utility function is given,and the examples are used to explain the method in practice proposed in this paper.