Certain Operations on Complex Picture Fuzzy Graphs

Certain Operations on Complex Picture Fuzzy Graphs

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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 (Comp-IFG) and picture fuzzy graphs (PFG).The primary goal of this study is to demonstrate the foundation of Com-PFG due to the drawback pomyslnaszycie.com 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 Com-PFG 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 deus gorras composition of Com-PFG.Finally, we discuss its use in decision-making problems.