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Another View of Complex Intuitionistic Fuzzy Soft Sets Based on Prioritized Aggregation Operators and Their Applications to Multiattribute Decision Making

Author

Listed:
  • Zeeshan Ali

    (Department of Mathematics & Statistics, International Islamic University, Islamabad 44000, Pakistan)

  • Tahir Mahmood

    (Department of Mathematics & Statistics, International Islamic University, Islamabad 44000, Pakistan)

  • Muhammad Aslam

    (Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia)

  • Ronnason Chinram

    (Algebra and Applications Research Unit, Division of Computational Science, Faculty of Science, Prince of Songkla University, Hat Yai 90110, Songkhla, Thailand)

Abstract

In a conventional interpretation of decision-making based on ambiguity, a decision-maker must prefer the best possible opportunity including various feasible possibilities. However, the dilemma of picking the best possible alternative has continued to be a substantial task to resolve. In this manuscript, we improve the existing complex intuitionistic fuzzy soft set (CIFSS), which includes the grade of truth and falsity with the rule that the sum of the real and imaginary parts of both grades is confined to [0, 1]. CIFS is a valuable procedure to determine the authenticity and consistency of the elaborated approaches. The fundamental laws and their related examples are also determined. Moreover, by using these laws, we investigated the complex intuitionistic fuzzy soft prioritized weighted averaging operator (CIFSPWAO), the complex intuitionistic fuzzy soft prioritized ordered weighted averaging operator (CIFSPOWAO), the complex intuitionistic fuzzy soft prioritized weighted geometric operator (CIFSPWGO), complex intuitionistic fuzzy soft prioritized ordered weighted geometric operator (CIFSPOWGO), and their related properties are also developed. Based on the developed operators, the multiattribute decision-making (MADM) tool is developed by using the explored operators based on CIFSS. Some numerical examples are also illustrated by using the investigated operators to determine the feasibility and consistency of the developed approaches. Finally, the comparative analysis and their geometrical manifestations are also determined to enhance the excellence of the performed explorations.

Suggested Citation

  • Zeeshan Ali & Tahir Mahmood & Muhammad Aslam & Ronnason Chinram, 2021. "Another View of Complex Intuitionistic Fuzzy Soft Sets Based on Prioritized Aggregation Operators and Their Applications to Multiattribute Decision Making," Mathematics, MDPI, vol. 9(16), pages 1-29, August.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:16:p:1922-:d:613377
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    References listed on IDEAS

    as
    1. Tahir Mahmood & Ali Jaballah, 2020. "A Novel Approach towards Bipolar Soft Sets and Their Applications," Journal of Mathematics, Hindawi, vol. 2020, pages 1-11, October.
    2. Harish Garg & Rishu Arora, 2018. "Bonferroni mean aggregation operators under intuitionistic fuzzy soft set environment and their applications to decision-making," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 69(11), pages 1711-1724, November.
    3. Tanuj Kumar & Rakesh Kumar Bajaj, 2014. "On Complex Intuitionistic Fuzzy Soft Sets with Distance Measures and Entropies," Journal of Mathematics, Hindawi, vol. 2014, pages 1-12, December.
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    Cited by:

    1. Xiaopeng Yang & Tahir Mahmood & Zeeshan Ali & Khizar Hayat, 2023. "Identification and Classification of Multi-Attribute Decision-Making Based on Complex Intuitionistic Fuzzy Frank Aggregation Operators," Mathematics, MDPI, vol. 11(15), pages 1-19, July.
    2. Zeeshan Ali & Tahir Mahmood & Miin-Shen Yang, 2023. "Frank Prioritized Aggregation Operators and WASPAS Method Based on Complex Intuitionistic Fuzzy Sets and Their Application in Multi-Attribute Decision-Making," Mathematics, MDPI, vol. 11(9), pages 1-21, April.
    3. Abid Khan & Miin-Shen Yang & Mirajul Haq & Ashfaq Ahmad Shah & Muhammad Arif, 2022. "A New Approach for Normal Parameter Reduction Using σ -Algebraic Soft Sets and Its Application in Multi-Attribute Decision Making," Mathematics, MDPI, vol. 10(8), pages 1-17, April.

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