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Hesitant Fuzzy Soft Set and Its Applications in Multicriteria Decision Making

Author

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  • Fuqiang Wang
  • Xihua Li
  • Xiaohong Chen

Abstract

Molodtsov’s soft set theory is a newly emerging mathematical tool to handle uncertainty. However, the classical soft sets are not appropriate to deal with imprecise and fuzzy parameters. This paper aims to extend the classical soft sets to hesitant fuzzy soft sets which are combined by the soft sets and hesitant fuzzy sets. Then, the complement, “AND”, “OR”, union and intersection operations are defined on hesitant fuzzy soft sets. The basic properties such as DeMorgan’s laws and the relevant laws of hesitant fuzzy soft sets are proved. Finally, with the help of level soft set, the hesitant fuzzy soft sets are applied to a decision making problem and the effectiveness is proved by a numerical example.

Suggested Citation

  • Fuqiang Wang & Xihua Li & Xiaohong Chen, 2014. "Hesitant Fuzzy Soft Set and Its Applications in Multicriteria Decision Making," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-10, July.
    • Handle: RePEc:hin:jnljam:643785
    DOI: 10.1155/2014/643785
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    Cited by:

    1. Sonam & Ramakant Bhardwaj & Satyendra Narayan, 2023. "Fixed Point Results in Soft Fuzzy Metric Spaces," Mathematics, MDPI, vol. 11(14), pages 1-11, July.
    2. Muhammad Jabir Khan & Poom Kumam & Peide Liu & Wiyada Kumam & Shahzaib Ashraf, 2019. "A Novel Approach to Generalized Intuitionistic Fuzzy Soft Sets and Its Application in Decision Support System," Mathematics, MDPI, vol. 7(8), pages 1-21, August.
    3. Arooj Adeel & Muhammad Akram & Ali N.A. Koam, 2019. "Multi-Criteria Decision-Making under m HF ELECTRE-I and H m F ELECTRE-I," Energies, MDPI, vol. 12(9), pages 1-30, May.
    4. Asma Mahmood & Mohsan Raza, 2021. "Observation of a Change in Human Attitude in a Decision Making Process Equipped with an Interference of a Third Party," Mathematics, MDPI, vol. 9(21), pages 1-14, November.
    5. Palash Dutta & Rupjit Saikia, 2020. "A Decision-making Approach for Choosing a Reliable Product under the Hesitant Fuzzy Environment via a Novel Distance Measure," Vikalpa: The Journal for Decision Makers, , vol. 45(3), pages 147-159, September.
    6. Huan Zhou & Jing Wang & Xin-E. Li & Jian-qiang Wang, 2016. "Intuitionistic hesitant linguistic sets and their application in multi-criteria decision-making problems," Operational Research, Springer, vol. 16(1), pages 131-160, April.

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