Application of a preference relationship in decision-making based on intuitionistic fuzzy soft sets

Article type: Research Article

Authors: Khameneh, Azadeh Zahedi^a | Kilicman, Adem^{a; b; *} | Salleh, Abdul Razak^c

Affiliations: [a] Institute for Mathematical Research, Universiti Putra Malaysia, Selangor, Malaysia | [b] Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, Selangor, Malaysia | [c] School of Mathematical Sciences, Universiti Kebangsaan Malaysia, Selangor, Malaysia

Correspondence: [*] Corresponding author. Adem Kilicman. E-mail: akilic@upm.edu.my.

Abstract: Intuitionistic fuzzy soft set (IFSS) provides more efficient and flexible tool than ordinary fuzzy soft set (FSS) to express decision makers’ opinions in real-world decision problems. Until now, different researchers have designed different algorithms for ranking objects in order to select the best option in group decision-making problems under intuitionistic fuzzy soft environment. In this paper, an adjustable algorithm is developed to handle the problem of group decision-making based on a preference relationship of IFSSs. The effectiveness of this approach in comparison with some existing methods is also demonstrated. To achieve the higher level of compatibility with the real-world problems, the proposed algorithm here is extended to the weighted case.

Keywords: Fuzzy soft set, intuitionistic fuzzy soft set, weighted intuitionistic fuzzy soft set, preference relationship, multi-attribute group decision-making

DOI: 10.3233/JIFS-17089

Journal: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 1, pp. 123-139, 2018