An Alternative Construction of Graphs by Associating with Algorithmic Approach on MV-algebras


Gürsoy A. , Kırcalı Gürsoy N. , Öner T. , Şentürk İ.

Soft Computing, no.25, pp.13201-13212, 2021 (Journal Indexed in SCI Expanded)

  • Publication Type: Article / Article
  • Publication Date: 2021
  • Doi Number: 10.1007/s00500-021-06162-w
  • Title of Journal : Soft Computing
  • Page Numbers: pp.13201-13212

Abstract

In this paper, we introduce an alternative construction of graphs on MV-algebras. We called them as MV-graphs whose vertices are the elements of MV-algebra and whose edges are the association of two vertices. We also define graphs of equivalence classes by constructing ¯-connection operator and complement annihilator on MV-algebras. We prove some related results based on the algebraic properties of graphs. We handle formation of graph folding on MV-algebras. And, we prove the relation between graphs folding and equivalence classes graph of MV-algebras. Moreover, we associate all of these processes with algorithms to serve related areas that used effectively MV-algebras.