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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: [email protected].
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
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