期刊
NEURAL COMPUTING & APPLICATIONS
卷 31, 期 10, 页码 6659-6683出版社
SPRINGER LONDON LTD
DOI: 10.1007/s00521-018-3493-2
关键词
Group decision-making; Single-valued neutrosophic preference relation; Multiplicative consistency; Consensus index
资金
- National Natural Science Foundation of China [71571192, 71671188]
- Innovation-Driven Project of Central South University [2018CX039]
- Major Project for National Natural Science Foundation of China [71790615]
- State Key Program of National Natural Science of China [71431006]
- Projects of Major International Cooperation NSFC [71210003]
- Hunan Province Foundation for Distinguished Young Scholars of China [2016JJ1024]
Preference relation is one of the most important and relatively simple approaches to address decision-making problems. As a special case of neutrosophic sets, the single-valued neutrosophic set (SVNS) is an efficient and powerful tool to deal with imprecise and inconsistent information. Taking the advantages of preference relations and SVNSs, this paper introduces single-valued neutrosophic preference relations (SVNPRs). Just as other types of preference relations, consistency and consensus analyses are indispensable to guarantee the ranking order logically. A multiplicative consistency concept for SVNPRs is introduced. On the basis of this concept, several multiplicative consistency-based 0-1 mixed programming models are established to derive multiplicatively consistent SVNPRs and estimate missing values in incomplete SVNPRs, respectively. As for group decision-making, a distance measure-based consensus index is presented. Moreover, an algorithm for group decision-making with SVNPRs is developed, which can deal with incomplete and inconsistent SVNPRs. Finally, a practical example is offered to show the practicability of the new procedure, and comparison is made with several previous methods about decision-making with SVNSs.
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