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New Distance Measures between the Interval-Valued Complex Fuzzy Sets with Applications to Decision-Making

Author

Listed:
  • Haifeng Song
  • Lvqing Bi
  • Bo Hu
  • Yingying Xu
  • Songsong Dai

Abstract

As a generalization of complex fuzzy set (CFS), interval-valued complex fuzzy set (IVCFS) is a new research topic in the field of CFS theory, which can handle two different information features with the uncertainty. Distance is an important tool in the field of IVCFS theory. To enhance the applicability of IVCFS, this paper presents some new interval-valued complex fuzzy distances based on traditional Hamming and Euclidean distances of complex numbers. Furthermore, we elucidate the geometric properties of these distances. Finally, these distances are used to deal with decision-making problem in the IVCFS environment.

Suggested Citation

  • Haifeng Song & Lvqing Bi & Bo Hu & Yingying Xu & Songsong Dai, 2021. "New Distance Measures between the Interval-Valued Complex Fuzzy Sets with Applications to Decision-Making," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-9, March.
    • Handle: RePEc:hin:jnlmpe:6685793
    DOI: 10.1155/2021/6685793
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    Cited by:

    1. Manivannan Balamurugan & Thukkaraman Ramesh & Anas Al-Masarwah & Kholood Alsager, 2024. "A New Approach of Complex Fuzzy Ideals in BCK/BCI-Algebras," Mathematics, MDPI, vol. 12(10), pages 1-18, May.
    2. Tahir Mahmood & Ubaid ur Rehman & Zeeshan Ali & Muhammad Aslam & Ronnason Chinram, 2022. "Identification and Classification of Aggregation Operators Using Bipolar Complex Fuzzy Settings and Their Application in Decision Support Systems," Mathematics, MDPI, vol. 10(10), pages 1-19, May.

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