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Linguistic Spherical Fuzzy Aggregation Operators and Their Applications in Multi-Attribute Decision Making Problems

Author

Listed:
  • Huanhuan Jin

    (Hangzhou College of Commerce, Zhejiang Gongshang University, Hangzhou 310012, China)

  • Shahzaib Ashraf

    (Department of Mathematics, Abdul Wali Khan Univesity, Mardan 23200, Pakistan)

  • Saleem Abdullah

    (Department of Mathematics, Abdul Wali Khan Univesity, Mardan 23200, Pakistan)

  • Muhammad Qiyas

    (Department of Mathematics, Abdul Wali Khan Univesity, Mardan 23200, Pakistan)

  • Mahwish Bano

    (Department of Mathematics, Air Univerity, Islamabad 44000, Pakistan)

  • Shouzhen Zeng

    (School of Business, Ningbo University, Ningbo 315211, China
    School of Managment, Fudan University, Shanghai 200433, China)

Abstract

The key objective of the proposed work in this paper is to introduce a generalized form of linguistic picture fuzzy set, so-called linguistic spherical fuzzy set (LSFS), combining the notion of linguistic fuzzy set and spherical fuzzy set. In LSFS we deal with the vague and defective information in decision making. LSFS is characterized by linguistic positive, linguistic neutral and linguistic negative membership degree which satisfies the conditions that the square sum of its linguistic membership degrees is less than or equal to 1. In this paper, we investigate the basic operations of linguistic spherical fuzzy sets and discuss some related results. We extend operational laws of aggregation operators and propose linguistic spherical fuzzy weighted averaging and geometric operators based on spherical fuzzy numbers. Further, the proposed aggregation operators of linguistic spherical fuzzy number are applied to multi-attribute group decision-making problems. To implement the proposed models, we provide some numerical applications of group decision-making problems. In addition, compared with the previous model, we conclude that the proposed technique is more effective and reliable.

Suggested Citation

  • Huanhuan Jin & Shahzaib Ashraf & Saleem Abdullah & Muhammad Qiyas & Mahwish Bano & Shouzhen Zeng, 2019. "Linguistic Spherical Fuzzy Aggregation Operators and Their Applications in Multi-Attribute Decision Making Problems," Mathematics, MDPI, vol. 7(5), pages 1-22, May.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:5:p:413-:d:229399
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    References listed on IDEAS

    as
    1. Adamopoulos, George I. & Pappis, Costas P., 1996. "A fuzzy-linguistic approach to a multi-criteria sequencing problem," European Journal of Operational Research, Elsevier, vol. 92(3), pages 628-636, August.
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    Cited by:

    1. Muhammad Riaz & Hafiz Muhammad Athar Farid & Weiwei Wang & Dragan Pamucar, 2022. "Interval-Valued Linear Diophantine Fuzzy Frank Aggregation Operators with Multi-Criteria Decision-Making," Mathematics, MDPI, vol. 10(11), pages 1-36, May.
    2. Fu Zhang & Weimin Ma, 2023. "Study on Chaotic Multi-Attribute Group Decision Making Based on Weighted Neutrosophic Fuzzy Soft Rough Sets," Mathematics, MDPI, vol. 11(4), pages 1-19, February.
    3. Wei Yang & Yongfeng Pang, 2022. "T-Spherical Fuzzy Bonferroni Mean Operators and Their Application in Multiple Attribute Decision Making," Mathematics, MDPI, vol. 10(6), pages 1-33, March.
    4. Çağlar Karamaşa & Selçuk Korucuk & Ezgi Demir & Salih Memiş, 2023. "A Quantitative Analysis for Prioritizing Success Elements in Agile Logistics Applications: The Case of Giresun and Ordu," Alphanumeric Journal, Bahadir Fatih Yildirim, vol. 11(1), pages 63-84, July.
    5. Babek Erdebilli & Ebru Gecer & İbrahim Yılmaz & Tamer Aksoy & Umit Hacıoglu & Hasan Dinçer & Serhat Yüksel, 2023. "Q-ROF Fuzzy TOPSIS and VIKOR Methods for the Selection of Sustainable Private Health Insurance Policies," Sustainability, MDPI, vol. 15(12), pages 1-22, June.
    6. Kou, Gang & Yüksel, Serhat & Dinçer, Hasan, 2022. "Inventive problem-solving map of innovative carbon emission strategies for solar energy-based transportation investment projects," Applied Energy, Elsevier, vol. 311(C).

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