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Article type: Research Article
Authors: Norouzi, Ashrafa; * | hajiagha, Hossein Razavib
Affiliations: [a] Industrial Engineering Department, ArakUniversity, Faculty of Engineering, Arak University, Arak, Iran | [b] Department of Management, Khatam University, Vanak, Tehran, Iran
Correspondence: [*] Corresponding author. Ashraf Norouzi, Industrial Engineering Department, Faculty of Engineering, Sardasht Campus, Arak-Khorramabad Highway, Arak University, Arak, Iran. E-mail: a-noroozi@araku.ac.ir.
Abstract: Multi criteria decision-making problems are usually encounter implicit, vague and uncertain data. Interval type-2 fuzzy sets (IT2FS) are widely used to develop various MCDM techniques especially for cases with uncertain linguistic approximation. However, there are few researches that extend IT2FS-based MCDM techniques into qualitative and group decision-making environment. The present study aims to adopt a combination of hesitant and interval type-2 fuzzy sets to develop an extension of Best-Worst method (BWM). The proposed approach provides a flexible and convenient way to depict the experts’ hesitant opinions especially in group decision-making context through a straightforward procedure. The proposed approach is called IT2HF-BWM. Some numerical case studies from literature have been used to provide illustrations about the feasibility and effectiveness of our proposed approach. Besides, a comparative analysis with an interval type-2 fuzzy AHP is carried out to evaluate the results of our proposed approach. In each case, the consistency ratio was calculated to determine the reliability of results. The findings imply that the proposed approach not only provides acceptable results but also outperforms the traditional BWM and its type-1 fuzzy extension.
Keywords: Best-worst method (BWM), hesitant fuzzy linguistic term set, hesitant interval type-2 Fuzzy BWM, interval type-2 fuzzy set, multi-attribute decision-making, qualitative decision-making
DOI: 10.3233/JIFS-202801
Journal: Journal of Intelligent & Fuzzy Systems, vol. 40, no. 6, pp. 11625-11652, 2021
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