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Group Generalized q-Rung Orthopair Fuzzy Soft Sets: New Aggregation Operators and Their Applications

Author

Listed:
  • Khizar Hayat
  • Raja Aqib Shamim
  • Hussain AlSalman
  • Abdu Gumaei
  • Xiao-Peng Yang
  • Muhammad Azeem Akbar

Abstract

In recent years, q-rung orthopair fuzzy sets have been appeared to deal with an increase in the value of , which allows obtaining membership and nonmembership grades from a larger area. Practically, it covers those membership and nonmembership grades, which are not in the range of intuitionistic fuzzy sets. The hybrid form of q-rung orthopair fuzzy sets with soft sets have emerged as a useful framework in fuzzy mathematics and decision-makings. In this paper, we presented group generalized q-rung orthopair fuzzy soft sets (GGq-ROFSSs) by using the combination of q-rung orthopair fuzzy soft sets and q-rung orthopair fuzzy sets. We investigated some basic operations on GGq-ROFSSs. Notably, we initiated new averaging and geometric aggregation operators on GGq-ROFSSs and investigated their underlying properties. A multicriteria decision-making (MCDM) framework is presented and validated through a numerical example. Finally, we showed the interconnection of our methodology with other existing methods.

Suggested Citation

  • Khizar Hayat & Raja Aqib Shamim & Hussain AlSalman & Abdu Gumaei & Xiao-Peng Yang & Muhammad Azeem Akbar, 2021. "Group Generalized q-Rung Orthopair Fuzzy Soft Sets: New Aggregation Operators and Their Applications," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-16, December.
    • Handle: RePEc:hin:jnlmpe:5672097
    DOI: 10.1155/2021/5672097
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