In a systematic way, during the year 1975, Rosenfeld introduced fuzzy graphs. Fuzzy graphs have been introduced independently by Yeh and Bang during the same time. The main objective of this paper is to define a new concept of operation namely, fuzzy complement of a complement fuzzy graph and derive its structural properties. The graphs considered are finite, connected and simple.

fuzzy graphs, fuzzy complement and operations on fuzzy graphs.

Received: August 29, 2021; Revised: December 12, 2021; Accepted: January 3, 2022; Published: Janaury 27, 2022

How to cite this article: K. R. Balasubramanian and K. Rajeswari, Fuzzy complement of  for a connected fuzzy graph G, Advances in Fuzzy Sets and Systems 27(1) (2022), 53-65. DOI: 10.17654/0973421X22003

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License 

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