Abstract
A complex picture fuzzy set (Com-PFS) is a motivating tool for more precisely interpreting
fuzzy notions. Recently, all extensions of complex fuzzy graphs (Com-FGs) have become a growing research
topic as they handle ambiguous situations more explicitly than complex intuitionistic fuzzy graphs (CompIFG) and picture fuzzy graphs (PFG). The primary goal of this study is to demonstrate the foundation
of Com-PFG due to the drawback of the complex neutral membership function in Com-IFG. This paper
introduces the concept of Com-PFGs and explains many of the approaches to their development. A ComPFG has three complex membership functions. We define the order, size, degree of vertex, and total degree
of vertex in Com-PFGs. We elaborate on primary operations including: complement, join, union, Cartesian
product, direct product, and composition of Com-PFG. Finally, we discuss its use in decision-making
problems.
fuzzy notions. Recently, all extensions of complex fuzzy graphs (Com-FGs) have become a growing research
topic as they handle ambiguous situations more explicitly than complex intuitionistic fuzzy graphs (CompIFG) and picture fuzzy graphs (PFG). The primary goal of this study is to demonstrate the foundation
of Com-PFG due to the drawback of the complex neutral membership function in Com-IFG. This paper
introduces the concept of Com-PFGs and explains many of the approaches to their development. A ComPFG has three complex membership functions. We define the order, size, degree of vertex, and total degree
of vertex in Com-PFGs. We elaborate on primary operations including: complement, join, union, Cartesian
product, direct product, and composition of Com-PFG. Finally, we discuss its use in decision-making
problems.
Original language | English |
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Pages (from-to) | 114284 - 114296 |
Number of pages | 13 |
Journal | IEEE Access |
Volume | 10, 2022 |
DOIs | |
Publication status | Published - 2022 |
Keywords
- Com-PFG
- order
- size
- complement
- union
- join
- Cartesian products
- composition
- direct product