title: A study on vague graphs.
abstract: The main purpose of this paper is to introduce the notion of vague h-morphism on vague graphs and regular vague graphs. The action of vague h-morphism on vague strong regular graphs are studied. Some elegant results on weak and co weak isomorphism are derived. Also, [Formula: see text]-complement of highly irregular vague graphs are defined.
authors.affiliation: Young Researchers and Elite Club, Central Branch, Islamic Azad University, Tehran, Iran.
authors.forename: Hossein
authors.initials: H
authors.lastname: Rashmanlou
authors.affiliation: Department of Mathematics, Indian Institute of Information Technology, Nagpur, 440006 India.
authors.forename: Sovan
authors.initials: S
authors.lastname: Samanta
authors.affiliation: Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, 721102 India.
authors.forename: Madhumangal
authors.initials: M
authors.lastname: Pal
authors.affiliation: Department of Mathematics, Shahid Beheshti University, Tehran, Iran.
authors.forename: R A
authors.initials: RA
authors.lastname: Borzooei
keywords: Highly irregular vague graph; Vague graph; Vague h-morphism