Modal-style operators on fuzzy soft sets and their application to decision making

Article type: Research Article

Authors: Wang, Lu | Qin, Keyun^{; *}

Affiliations: College of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, PR China

Correspondence: [*] Corresponding author. Keyun Qin, College of Mathematics, Southwest Jiaotong University, Chengdu, 610031, Sichuan, PR China. E-mail: keyunqin@263.net.

Abstract: The hybrid soft sets such as, fuzzy soft sets and soft fuzzy rough sets, have been regarded as mathematical tools for handling uncertainties. The aim of this paper is to develop a novel decision making approach for fuzzy soft sets. The modal-style operators of formal context are introduced to fuzzy soft sets and some basic properties of these operators are discussed in detail. A novel fuzzy soft set based decision making approach is presented by using modal-style operators. Further, some shortcomings of an existing decision making method have been highlighted and overcome by the proposed decision making approach. Some numerical examples are employed to show the effectiveness of the approach presented in this study.

Keywords: Soft fuzzy rough set, fuzzy soft set, modal-style operator, decision making

DOI: 10.3233/JIFS-182654

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 6, pp. 6381-6392, 2019