Generalised multi-fuzzy bipolar soft sets and its application in decision making

Article type: Research Article

Authors: Khan, Asghar^a | Izhar, Muhammad^a | Khalaf, Mohammad M.^{b; *}

Affiliations: [a] Department of Mathematics, Abdul Wali Khan University, Mardan, KP, Pakistan | [b] High Institute of Engineering and Technology King Marioutt, Egypt

Correspondence: [*] Corresponding author. Mohammad M. Khalaf, High Institute of Engineering and Technology King Marioutt P.O. Box 3135, Egypt. E-mail: m.khalaf@kma.edu.eg.

Abstract: Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainty. In this work, new soft model, called the generalised multi-fuzzy bipolar soft model is proposed, and an algorithm based on this notion is presented. Some basic properties of this concept are studied and the related results are investigated. Finally, an application based on generalised multi-fuzzy soft sets in decision making is analyzed.

Keywords: Soft set, bipolar soft set, fuzzy soft set, multi-fuzzy set, generalised multi-fuzzy bipolar soft set

Keywords: 03E72, 18B30, 54A40

DOI: 10.3233/JIFS-182928

Journal: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 2, pp. 2713-2725, 2019