Generalized q-ROF TODIM Decision-Making Method Considering Attribute Correlation

属性相关条件下广义q-ROF TODIM决策方法

¹ School of Air and Missile Defense, Air Force Engineering University, Xi'an 710043, China
² School of Automation, Northwestern Polytechnical University, Xi'an 710072, China

Received: 20 December 2019

Abstract

Aiming at solving the problem of q-ROF fuzzy multi-attribute decision-making with attribute relevance, a generalized q-ROF TODIM decision-making method considering attribute correlation is proposed in this paper. According to the generalized TODIM decision method, the profit or loss values of each scheme relative to other schemes are calculated, and the idea of Choquet integral is used to integrate the income or loss values of all attributes of the scheme in the case of attribute association, the overall perceived dominance of each scheme is calculated, and the alternative schemes are ranked according to the overall perceived dominance of the scheme. Finally, combined with an example, the influence of parameter changed on the decision-making results is analyzed, and the feasibility and effectiveness of the method are verified.

摘要

针对属性具有关联性的q-ROF模糊多属性决策问题，提出一种属性相关条件下广义q-ROF TODIM决策方法。依据广义TODIM决策方法，计算每个方案相对于其他方案关于各属性的收益或损失值；采用Choquet积分思想集成属性关联情形下方案关于所有属性的收益或损失值，在此基础上，计算每个方案的总体感知优势度，并依据方案的总体感知优势度的大小对方案进行排序。最后，结合实例分析了参数变化对决策结果的影响，验证了方法的可行性和有效性。