Multiple attribute decision-making method based on the possibility degree ranking method and ordered weighted aggregation operators of interval neutrosophic numbers

Article type: Research Article

Authors: Ye, Jun

Affiliations: Department of Electrical and Information Engineering, Shaoxing University, Shaoxing, Zhejiang Province, P.R. China

Note: [] Corresponding author. Jun Ye, Department of Electrical and Information Engineering, Shaoxing University, 508 Huancheng West Road, Shaoxing, Zhejiang Province 312000, P.R. China. Tel.: +86 575 88327323; E-mail: yehjun@aliyun.com

Abstract: The paper proposes the possibility degree ranking method for interval neutrosophic numbers (INNs) from the probability viewpoint since the ranking of INNs is very important for the interval neutrosophic decision-making problems. Then, we develop an interval neutrosophic number ordered weighted averaging (INNOWA) operator and an interval neutrosophic number ordered weighted geometric (INNOWG) operator and investigate their properties, and then establish a decision-making method based on the possibility degree ranking method and the INNOWA and INNOWG operators to handle multiple attribute decision-making problems with interval neutrosophic information. Finally, an illustrative example of investment alternatives is given to demonstrate the application and effectiveness of the developed approach.

Keywords: Interval neutrosophic set, interval neutrosophic number, possibility degree, interval neutrosophic number ordered weighted averaging (INNOWA) operator, interval neutrosophic number ordered weighted geometric (INNOWG) operator, decision making

DOI: 10.3233/IFS-141416

Journal: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 3, pp. 1307-1317, 2015