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Novel Development to the Theory of Dombi Exponential Aggregation Operators in Neutrosophic Cubic Hesitant Fuzzy Sets: Applications to Solid Waste Disposal Site Selection

Author

Listed:
  • Ateeq Ur Rehman
  • Muhammad Gulistan
  • Nasreen Kausar
  • Sajida Kousar
  • Mohammed M. Al-Shamiri
  • Rashad Ismail
  • Ning Cai

Abstract

The neutrosophic cubic hesitant fuzzy set can efficiently handle the complex information in a decision-making problem because it combines the advantages of the neutrosophic cubic set and the hesitant fuzzy set. The algebraic operations based on Dombi norms and co-norms are more flexible than the usual algebraic operations as they involve an operational parameter. First, this paper establishes Dombi algebraic operational laws, score functions, and similarity measures in neutrosophic cubic hesitant fuzzy sets. Then, we proposed Dombi exponential operational laws in which the exponents are neutrosophic cubic hesitant fuzzy values and bases are positive real numbers. To use neutrosophic cubic hesitant fuzzy sets in decision-making, we are developing Dombi exponential aggregation operators in the current study. In the end, we present applications of exponential aggregation operators in multiattribute decision-making problems.

Suggested Citation

  • Ateeq Ur Rehman & Muhammad Gulistan & Nasreen Kausar & Sajida Kousar & Mohammed M. Al-Shamiri & Rashad Ismail & Ning Cai, 2022. "Novel Development to the Theory of Dombi Exponential Aggregation Operators in Neutrosophic Cubic Hesitant Fuzzy Sets: Applications to Solid Waste Disposal Site Selection," Complexity, Hindawi, vol. 2022, pages 1-16, September.
    • Handle: RePEc:hin:complx:3828370
    DOI: 10.1155/2022/3828370
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