Adjustable soft discernibility matrix based on picture fuzzy soft sets and its applications in decision making

Article type: Research Article

Authors: Yang, Yong^* | Liang, Chencheng | Ji, Shiwei | Liu, Tingting

Affiliations: College of Computer Science and Engineering, Northwest Normal University, Lanzhou, P.R. China

Correspondence: [*] Corresponding author.: Yong Yang, College of Computer Science and Engineering, Northwest Normal University, Lanzhou, P.R. China. E-mail: yangzt@nwnu.edu.cn.

Abstract: In this work, we first define picture fuzzy soft sets and study some of their relevant properties, especially, a sufficient and necessary condition is presented to ensure that the dual laws are true in picture fuzzy soft theory. We then introduce an algorithm based on adjustable soft discernibility matrix by using level soft set of a picture fuzzy soft set to solve decision making problems, which can find an order relation of all the objects. Finally, an illustrative example is employed to show that they can be successfully applied to problems that contain uncertainties.

Keywords: Soft set, Picture fuzzy set, picture fuzzy soft set, soft discernibility matrix, decision making

DOI: 10.3233/IFS-151648

Journal: Journal of Intelligent & Fuzzy Systems, vol. 29, no. 4, pp. 1711-1722, 2015