General Complex-Valued Overlap Functions | Zendy

Ying Chen | Zendy; Lvqing Bi | Zendy; Bo Hu | Zendy; Songsong Dai | Zendy

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General Complex-Valued Overlap Functions

Author(s) -

Ying Chen,

Lvqing Bi,

Bo Hu,

Songsong Dai

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/6613730

Subject(s) - mathematics , complex valued function , function (biology) , degree (music) , pure mathematics , algebra over a field , analytic function , physics , evolutionary biology , acoustics , biology

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.

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