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Identification and Classification of Prioritized Aczel-Alsina Aggregation Operators Based on Complex Intuitionistic Fuzzy Information and Their Applications in Decision-Making Problem

In: Fuzzy Optimization, Decision-making and Operations Research

Author

Listed:
  • Kifayat Ullah

    (Riphah International University (Lahore Campus), Department of Mathematics, Riphah Institute of Computing & Applied Sciences (RICAS))

  • Mehwish Sarfraz

    (Riphah International University (Lahore Campus), Department of Mathematics, Riphah Institute of Computing & Applied Sciences (RICAS))

  • Maria Akram

    (Riphah International University (Lahore Campus), Department of Mathematics, Riphah Institute of Computing & Applied Sciences (RICAS))

  • Zeeshan Ali

    (International Islamic University Islamabad, Department of Mathematics and Statistics)

Abstract

Prioritized aggregation operators are very famous and reliable because they can help us to aggregate the collection of information into a singleton set. Furthermore, the derived theory of Aczel and Alsina has received valuable and dominant attention from many scholars. In this chapter, we evaluate prioritized Aczel-Alsina (AA) aggregation operators for complex intuitionistic fuzzy (CIF) information, such as CIF prioritized AA averaging (CIFPAAA), CIF prioritized AA ordered averaging (CIFPAAOA), CIF prioritized AA geometric (CIFPAAG), and CIF prioritized AA ordered geometric (CIFPAAOG) operators. Moreover, various properties and special cases of the derived work are also examined. Additionally, we expose an MADM “multiattribute decision-making” technique under the consideration of derived operators. Finally, we illustrated various examples for determining the comparison between proposed and existing operators to show the supremacy and validity of the invented theory.

Suggested Citation

  • Kifayat Ullah & Mehwish Sarfraz & Maria Akram & Zeeshan Ali, 2023. "Identification and Classification of Prioritized Aczel-Alsina Aggregation Operators Based on Complex Intuitionistic Fuzzy Information and Their Applications in Decision-Making Problem," Springer Books, in: Chiranjibe Jana & Madhumangal Pal & Ghulam Muhiuddin & Peide Liu (ed.), Fuzzy Optimization, Decision-making and Operations Research, chapter 0, pages 377-398, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-35668-1_17
    DOI: 10.1007/978-3-031-35668-1_17
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