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Some interval-valued intuitionistic fuzzy Schweizer–Sklar power aggregation operators and their application to supplier selection

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  • Peide Liu
  • Peng Wang

Abstract

Supplier selection is an important multiple attribute group decision-making (MAGDM) problem. How to choose a suitable supplier is an evaluation process with different alternatives of multiple attributes, and it also relates to the expression of the evaluation value. Considering Schweizer–Sklar t-conorm and t-norm (SSTT) can make the information aggregation process more flexible than others, and the power average (PA) operator can eliminate effects of unreasonable data from biased decision-makers. So, we extend SSTT to interval-valued intuitionistic fuzzy numbers (IVIFNs) and define Schweizer–Sklar operational rules of IVIFNs. Then, we combine the PA operator with Schweizer–Sklar operations, and propose the interval-valued intuitionistic fuzzy Schweizer–Sklar power average operator, the interval-valued intuitionistic fuzzy Schweizer–Sklar power weighted average (IVIFSSPWA) operator, the interval-valued intuitionistic fuzzy Schweizer–Sklar power geometric operator and the interval-valued intuitionistic fuzzy Schweizer–Sklar power weighted geometric (IVIFSSPWG) operator, respectively. Furthermore, we study some desirable characteristics of them and develop two methods on the basis of IVIFSSPWA and IVIFSSPWG operators. At the same time, we apply the two methods to deal with the MAGDM problems based on supplier selection. Finally, an illustrative example of supplier selection problem is given to testify the availability of the presented operators.

Suggested Citation

  • Peide Liu & Peng Wang, 2018. "Some interval-valued intuitionistic fuzzy Schweizer–Sklar power aggregation operators and their application to supplier selection," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(6), pages 1188-1211, April.
  • Handle: RePEc:taf:tsysxx:v:49:y:2018:i:6:p:1188-1211
    DOI: 10.1080/00207721.2018.1442510
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    Cited by:

    1. Nagarajan, D. & Lathamaheswari, M. & Broumi, Said & Kavikumar, J., 2019. "A new perspective on traffic control management using triangular interval type-2 fuzzy sets and interval neutrosophic sets," Operations Research Perspectives, Elsevier, vol. 6(C).
    2. 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.
    3. Qaisar Khan & Jeonghwan Gwak & Muhammad Shahzad & Muhammad Kamran Alam, 2021. "A Novel Approached Based on T-Spherical Fuzzy Schweizer-Sklar Power Heronian Mean Operator for Evaluating Water Reuse Applications under Uncertainty," Sustainability, MDPI, vol. 13(13), pages 1-35, June.

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