首页|An optimization viewpoint on evaluation-based interval-valued multi-attribute three-way decision model
An optimization viewpoint on evaluation-based interval-valued multi-attribute three-way decision model
扫码查看
点击上方二维码区域，可以放大扫码查看
原文链接
NSTL
Elsevier
Multi-attribute decision-making (MADM) aims to rank alternatives based on their attri-butes and evaluation information, which provides decision support for decision-makers. Most existing MADM methods can only obtain ranking results, decision-makers usually need to subjectively choose priority alternatives to make a decision based on the preset evaluation level and ranking results, which does not meet the requirements of complex decision situations and uncertain information processing. A method is urgently needed, which can objectively produce classification results and automatically provide priority objects for decisions. Three-way decisions (3WDs) offer an effective research technique to solve decision-making problems under uncertainty and risk by objectively dividing a universal set into three pairwise disjoint parts: acceptance, non-commitment and rejec-tion, and implementing the corresponding strategy for each part. Considering that it is dif-ficult to accurately determine the exact value of attributes in some cases, interval numbers can be a useful concept to flexibly describe uncertain information and satisfy the decision-maker's cognition. Therefore, under an interval-valued MADM environment, this paper proposes an evaluation-based interval-valued multi-attribute three-way decision (IVMA3WD) model from an optimization viewpoint. The model achieves an effective fusion of 3WDs and MADM problems, and further expands evaluation-based 3WD models on the totally ordered set. Specifically speaking, in order to depict uncertain information in decision-making, interval numbers are used to describe the evaluation information included in the multi-attribute evaluation matrix. Then, considering a general case that there are no decision attributes in the multi-attribute evaluation matrix, we determine the evaluation function by use of the idea of the interval-valued TOPSIS method. In addi-tion, unlike the fixed-valued loss functions in the majority of 3WD models, the relative loss function in this article is not provided straightly but computed by attribute evaluation val-ues expressed by interval numbers. Furthermore, based on an optimization viewpoint, we construct two optimization models and attempt to find the optimal solution to obtain the threshold pair. A housing market investment decision problem is utilized as an illustrative example to find out the applicability of our built IVMA3WD model. In the end, we adopt a sensitivity analysis and a comparative analysis to demonstrate our proposed model's char-acteristics and advantages.(c) 2022 Elsevier Inc. All rights reserved.
Three-way decisionMulti-attribute decision-makingInterval numberEvaluation functionInterval-valued relative loss functionOptimization modelEXTENSIONSELECTIONFUSIONVIKORSET
NSTL
Elsevier
