Title: New concepts of product vague graphs with applications

Authors: P.K. Kishore Kumar; S. Lavanya; A.A. Talebi; Hossein Rashmanlou

Addresses: Department of Information Technology, Mathematics Section, AlMusanna College of Technology, Sultanate of Oman ' Department of Mathematics, Bharathi Womens College, Chennai, India ' Department of Mathematics, University of Mazandaran, Babolsar, Iran ' School of Physics, Damghan University, Damghan, Iran

Abstract: It is known that vague models give more precision, flexibility and compatibility to the system as compare to the classic and fuzzy models. Vague graph has an important role in neural networks, computer network and clustering. In the design of a network, it is important to analyse connections by the levels. The structural properties of vague graphs provide a tool that identifies a solution to operations research problems. In this paper, we define ring sum of two product vague graph and analyse some interesting properties of isomorphism on product vague graphs.

Keywords: ring sum; direct product; product vague graphs.

DOI: 10.1504/IJAIP.2023.135025

International Journal of Advanced Intelligence Paradigms, 2023 Vol.26 No.2, pp.105 - 123

Received: 12 Feb 2018
Accepted: 03 Mar 2018

Published online: 28 Nov 2023 *

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