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General Complex-Valued Overlap Functions

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Listed:
  • Ying Chen
  • Lvqing Bi
  • Bo Hu
  • Songsong Dai
  • Sami Ullah Khan

Abstract

Overlap function is a special type of aggregation function which measures the degree of overlapping between different classes. Recently, complex fuzzy sets have been successfully applied in many applications. In this paper, we extend the concept of overlap functions to the complex-valued setting. We introduce the notions of complex-valued overlap, complex-valued 0-overlap, complex-valued 1-overlap, and general complex-valued overlap functions, which can be regarded as the generalizations of the concepts of overlap, 0-overlap, 1-overlap, and general overlap functions, respectively. We study some properties of these complex-valued overlap functions and their construction methods.

Suggested Citation

  • Ying Chen & Lvqing Bi & Bo Hu & Songsong Dai & Sami Ullah Khan, 2021. "General Complex-Valued Overlap Functions," Journal of Mathematics, Hindawi, vol. 2021, pages 1-6, January.
    • Handle: RePEc:hin:jjmath:6613730
    DOI: 10.1155/2021/6613730
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