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.
Highlights
Bustince et al [1] introduced the concept of overlap function in order to express the overlapping degree between two different classes
Overlap functions are a special type of aggregation functions [2] that are used in many applications such as image processing [1, 3], classification [4, 5], and decision making [6, 7]
We introduced the concepts of complex-valued overlap, complex-valued 0-overlap, complex-valued 1overlap, and general complex-valued overlap functions
Summary
Bustince et al [1] introduced the concept of overlap function in order to express the overlapping degree between two different classes. It is an effective tool to handle uncertainty and periodicity simultaneously It has been successfully applied in signal processing [23,24,25], image processing [26], time series forecasting [27,28,29,30], and decision making [31, 32]. Ese features may lead to special properties and construction methods of complex-valued overlap functions and provide a good issue for generation of overlap functions. Erefore, in this paper, from the theoretical point of view, we propose the definitions and construction methods of complex-valued overlap functions.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
