General Complex-Valued Overlap Functions

Ying Chen, Lvqing Bi, Bo Hu, Songsong Dai and Sami Ullah Khan

Journal of Mathematics, 2021, vol. 2021, 1-6

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6613730

DOI: 10.1155/2021/6613730

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