Some similarity measures for interval-valued bipolar q-rung orthopair fuzzy sets and their application to supplier evaluation and selection in supply chain management

Hüseyin Kamacı () and Subramanian Petchimuthu ()
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Hüseyin Kamacı: Yozgat Bozok University
Subramanian Petchimuthu: University College of Engineering

Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, 2025, vol. 27, issue 9, No 63, 21960 pages

Abstract: Abstract The q-rung orthopair fuzzy set is a powerful tool for depicting fuzziness and uncertainty. This paper proposes a new tool, called interval-valued bipolar q-rung orthopair fuzzy sets to deal with vagueness and impreciseness encountered in real-world scenes. These proposed sets take full advantage of the q-rung orthopair fuzzy set and comprehensively reflect quantitative and qualitative assessments. Moreover, we describe some prevailing similarity measures in the surroundings of the interval-valued bipolar q-rung orthopair fuzzy set. The prominent advantage of the proposed similarity measures is that the interrelationship between interval-valued bipolar q-rung orthopair fuzzy numbers can be considered. Further, we establish a multicriteria decision-making algorithm based on the proposed similarity measures to determine the best supplier selection in supply chain management and analyze its acquired consequences. We examine the merits and limitations of the new approaches by comparing them with some existing similarity measures based on fuzzy extensions. Some graphical interpretations are also discussed to demonstrate the reliability and effectiveness of the explored measures.

Keywords: q-rung orthopair fuzzy set; Interval-valued bipolar q-rung orthopair fuzzy set; Similarity measure; Supplier selection; Supplier evaluation; Supply chain management (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10668-022-02130-y

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