Multi-Attribute Decision-Making Based on Preference Perspective with Interval Neutrosophic Sets in Venture Capital

• Main Authors: Yanran Hong, Dongsheng Xu, Kaili Xiang, Han Qiao, Xiangxiang Cui, Huaxiang Xian
• Format: Article
• Language: English
• Published: MDPI AG 2019-03-01
• Series: Mathematics
• Subjects: Interval Neutrosophic Sets; distance measure; venture capital; TODIM method; multi-attribute decision-making
• Online Access: http://www.mdpi.com/2227-7390/7/3/257

Fuzzy information in venture capital can be well expressed by neutrosophic numbers, and TODIM method is an effective tool for multi-attribute decision-making. The distance measure is an essential step in TODIM method. The keystone of this paper is to define several new distance measures, in particular the improved interval neutrosophic Euclidean distance, and these measures are applied in the TODIM method for multi-attribute decision-making. Firstly, the normalized generalized interval neutrosophic Hausdorff distance is defined and proved to be valid in this paper. Secondly, we define a weighted parameter interval neutrosophic distance and discuss whether different weight parameters affect the decision result based on TODIM method. Thirdly, considering the preference perspective of decision-makers in behavioral economics, we define the improved interval neutrosophic Euclidean distance with the known parameter of risk preference. Finally, an application example is given to compare the effects of different parameters on the result and discuss the feasibility of these two distance measures in TODIM method.