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An Extension of Bonferroni Mean under Cubic Pythagorean Fuzzy Environment and Its Applications in Selection-Based Problems

Author

Listed:
  • Muhammad Rahim
  • Fazli Amin
  • Asad Ali
  • Kamal Shah
  • Hasan Dincer

Abstract

Cubic Pythagorean fuzzy (CPF) set (CPFS) is a hybrid set that can describe both interval-valued Pythagorean fuzzy (IVPF) sets (IVPFSs) and Pythagorean fuzzy (PF) sets (PFSs) simultaneously for addressing information ambiguities. Since an aggregation operator (AO) is a significant mathematical approach in decision-making (DM) problems, this article presents some novel Bonferroni mean (BM) and weighted Bonferroni mean averaging operators between CPF-numbers (CPFNs) for aggregating the different preferences of the decision-makers. Then, using the proposed AOs, we develop a DM approach under the CPF environment and demonstrated it with a numerical example. Furthermore, a comparative study between the proposed and existing methods has been performed to demonstrate the practicality and efficiency of the proposed DM approach.

Suggested Citation

  • Muhammad Rahim & Fazli Amin & Asad Ali & Kamal Shah & Hasan Dincer, 2022. "An Extension of Bonferroni Mean under Cubic Pythagorean Fuzzy Environment and Its Applications in Selection-Based Problems," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-28, November.
    • Handle: RePEc:hin:jnlmpe:9735100
    DOI: 10.1155/2022/9735100
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