Selection of an alternative based on interval-valued hesitant picture fuzzy sets

Article type: Research Article

Authors: Rashid, Tabasam^{; *} | Sarwar Sindhu, M.

Affiliations: Department of Mathematics, University of Management and Technology, Lahore, Pakistan

Correspondence: [*] Corresponding author. Tabasam Rashid. E-mail: tabasam.rashid@gmail.com.

Abstract: Motivated by interval-valued hesitant fuzzy sets (IVHFSs) and picture fuzzy sets (PcFSs), a notion of interval-valued hesitant picture fuzzy sets (IVHPcFSs) is presented in this article. The concept of IVHPcFSs is put forward and some operational rules are developed to deal with it. The cosine similarity measures (SMs) are modified for IVHPcFSs to deal with interval-valued hesitant picture fuzzy (IVHPcF) data and the linear programming (LP) methodology is used to find out the criteria’s weights. A multiple criteria decision making (MCDM) approach is then developed to tackle the vague and ambiguous information involved in MCDM problems under the framework of IVHPcFSs. For the validation and strengthen of the proposed MCDM approach a practical example is put forward to select the educational expert at the end.

Keywords: Fuzzy sets, picture fuzzy sets, hesitant fuzzy sets, IVHFSs, LP technique

DOI: 10.3233/JIFS-219211

Journal: Journal of Intelligent & Fuzzy Systems, vol. 42, no. 1, pp. 551-561, 2022