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A comparative study for consistency-based decision making with interval multiplicative preference relations
International Journal of General Systems ( IF 2 ) Pub Date : 2020-02-25 , DOI: 10.1080/03081079.2020.1729759
Fanyong Meng 1, 2 , Jie Tang 2
Affiliation  

ABSTRACT To ensure the reasonable application and perfect the theory of decision making with interval multiplicative preference relations (IMPRs), this paper continues to discuss decision making with IMPRs. After reviewing previous consistency concepts for IMPRs, we find that Krejčí’s consistency concept is more flexible and natural than others. However, it is insufficient to address IMPRs only using this concept. Considering this fact, this paper researches inconsistent and incomplete IMPRs that are usually encountered. First, programming models for addressing inconsistent and incomplete IMPRs are constructed. Then, this paper studies the consensus of individual IMPRs and defines a consensus index using the defined correlation coefficient. When the consensus requirement does not satisfy requirement, a programming model for improving consensus level is built, which can ensure the consistency. Subsequently, a procedure for group decision making with IMPRs is offered, and associated examples are provided to specifically show the application of main theoretical results.

中文翻译:

基于区间乘性偏好关系的一致性决策比较研究

摘要 为保证区间乘性偏好关系(IMPRs)决策理论的合理应用和完善,本文继续探讨IMPRs决策。在回顾了之前 IMPR 的一致性概念后,我们发现 Krejčí 的一致性概念比其他的更灵活和自然。然而,仅使用这个概念来解决 IMPR 是不够的。考虑到这一事实,本文研究了经常遇到的不一致和不完整的 IMPR。首先,构建用于解决不一致和不完整 IMPR 的编程模型。然后,本文研究了单个 IMPR 的共识,并使用定义的相关系数定义了一个共识指标。当共识要求不满足要求时,建立了提高共识水平的编程模型,保证一致性。随后,给出了使用IMPR进行群决策的过程,并给出了相关的例子,具体展示了主要理论结果的应用。
更新日期:2020-02-25
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