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General Complex-Valued Grouping Functions

Author

Listed:
  • Ying Chen
  • Lvqing Bi
  • Bo Hu
  • Songsong Dai
  • Feng Feng

Abstract

Grouping function is a special kind of aggregation function which measures the amount of evidence in favor of either of the two choices. Recently, complex fuzzy sets have been successfully used in many fields. This paper extends the concept of grouping functions to the complex-valued setting. We introduce the concepts of complex-valued grouping, complex-valued 0-grouping, complex-valued 1-grouping, and general complex-valued grouping functions. We present some interesting results and construction methods of general complex-valued grouping functions.

Suggested Citation

  • Ying Chen & Lvqing Bi & Bo Hu & Songsong Dai & Feng Feng, 2021. "General Complex-Valued Grouping Functions," Journal of Mathematics, Hindawi, vol. 2021, pages 1-6, August.
    • Handle: RePEc:hin:jjmath:5793151
    DOI: 10.1155/2021/5793151
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