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A Multi-Attribute Decision Making Process with Immediate Probabilistic Interactive Averaging Aggregation Operators of T-Spherical Fuzzy Sets and Its Application in the Selection of Solar Cells

Author

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  • Shouzhen Zeng

    (School of Business, Ningbo University, Ningbo 315211, China
    College of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018, China
    School of Management, Fudan University, Shanghai 200433, China)

  • Harish Garg

    (School of Mathematics, Thapar Institute of Engineering and Technology, Deemed University, Patiala 147004, Punjab, India)

  • Muhammad Munir

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

  • Tahir Mahmood

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

  • Azmat Hussain

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

Abstract

The objective of this paper is to present new interactive averaging aggregation operators by assigning associate probabilities for T-spherical fuzzy sets (T-SFSs). T-SFS is a generalization of several existing theories such as intuitionistic fuzzy sets and picture fuzzy sets to handle imprecise information. Under such an environment, we developed a series of averaging interactive aggregation operators under the features that each element is represented with T-spherical fuzzy numbers. Various properties of the proposed operators are also investigated. Further, to rank the different T-SFSs, we exhibit the new score functions and state their some properties. To demonstrate the presented algorithm, a decision-making process algorithm is presented with T-SFS features. To save non-renewable resources and to the protect environment, the use of renewable resources is important. Solar energy is one of the best renewable energy resources and is also environment-friendly and thus the selection of solar cells is typically a multi-attribute decision-making problem. Therefore, the applicability of the developed algorithm is demonstrated with a numerical example in the selection of the solar cells and comparison of their performance with the several existing approaches.

Suggested Citation

  • Shouzhen Zeng & Harish Garg & Muhammad Munir & Tahir Mahmood & Azmat Hussain, 2019. "A Multi-Attribute Decision Making Process with Immediate Probabilistic Interactive Averaging Aggregation Operators of T-Spherical Fuzzy Sets and Its Application in the Selection of Solar Cells," Energies, MDPI, vol. 12(23), pages 1-26, November.
    • Handle: RePEc:gam:jeners:v:12:y:2019:i:23:p:4436-:d:289655
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    References listed on IDEAS

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    1. Harish Garg & Dimple Rani, 2019. "Exponential, Logarithmic and Compensative Generalized Aggregation Operators Under Complex Intuitionistic Fuzzy Environment," Group Decision and Negotiation, Springer, vol. 28(5), pages 991-1050, October.
    2. Guiwu Wei, 2018. "Uncertain Hamacher Aggregation Operators and Their Application to Multiple Attribute Decision Making," International Journal of Decision Support System Technology (IJDSST), IGI Global, vol. 10(2), pages 40-64, April.
    3. Xiaolu Zhang, 2016. "New Interval-Valued Intuitionistic Fuzzy Behavioral MADM Method and Its Application in the Selection of Photovoltaic Cells," Energies, MDPI, vol. 9(10), pages 1-20, October.
    4. Lingjie Sun & Yingyi Liu & Boyang Zhang & Yuwei Shang & Haiwen Yuan & Zhao Ma, 2016. "An Integrated Decision-Making Model for Transformer Condition Assessment Using Game Theory and Modified Evidence Combination Extended by D Numbers," Energies, MDPI, vol. 9(9), pages 1-22, August.
    5. Vahid Khaligh & Majid Oloomi Buygi & Amjad Anvari-Moghaddam & Josep M. Guerrero, 2018. "A Multi-Attribute Expansion Planning Model for Integrated Gas–Electricity System," Energies, MDPI, vol. 11(10), pages 1-22, September.
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    Cited by:

    1. Divya Zindani & Saikat Ranjan Maity & Sumit Bhowmik, 2022. "A novel decision-making tool for performance evaluation of vegetable oils used as heat transfer fluids in concentrated solar power plants," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 24(11), pages 13334-13377, November.
    2. Muhammad Naeem & Muhammad Qiyas & Mohammed M. Al-Shomrani & Saleem Abdullah, 2020. "Similarity Measures for Fractional Orthotriple Fuzzy Sets Using Cosine and Cotangent Functions and Their Application in Accident Emergency Response," Mathematics, MDPI, vol. 8(10), pages 1-19, September.
    3. Iztok Podbregar & Goran Šimić & Mirjana Radovanović & Sanja Filipović & Polona Šprajc, 2020. "International Energy Security Risk Index—Analysis of the Methodological Settings," Energies, MDPI, vol. 13(12), pages 1-15, June.
    4. 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.
    5. Nebiyu Kedir & Phuong H. D. Nguyen & Citlaly Pérez & Pedro Ponce & Aminah Robinson Fayek, 2023. "Systematic Literature Review on Fuzzy Hybrid Methods in Photovoltaic Solar Energy: Opportunities, Challenges, and Guidance for Implementation," Energies, MDPI, vol. 16(9), pages 1-38, April.
    6. Ayough, Ashkan & Boshruei, Setareh & Khorshidvand, Behrooz, 2022. "A new interactive method based on multi-criteria preference degree functions for solar power plant site selection," Renewable Energy, Elsevier, vol. 195(C), pages 1165-1173.

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