In collaboration with Payame Noor University and Iranian Society of Instrumentation and Control Engineers
On Edge Fuzzy Line Graphs and their Fuzzy Congraphs

Siyamak Firouzian; Shaban Sedghi; Nabi Shobe

Volume 6, Issue 1 , January 2021, , Pages 81-89

https://doi.org/10.30473/coam.2021.44084.1102

Abstract
  In this paper‎, ‎we introduce some new concepts of fuzzy graphs with the notion of degree of an edge in fuzzy line graphs and congraphs‎. ‎Also‎, ‎some properties and some‎ ‎lemmas of edge fuzzy line graphs and congraphs are studied‎. ‎Finally‎, ‎we state ...  Read More

Control and Optimization
Weakly Perfect Graphs of Modules

Mostafa Nouri Jouybari; Yahya Talebi Rostami; Siyamak Firouzian

Volume 4, Issue 2 , January 2019, , Pages 61-67

https://doi.org/10.30473/coam.2021.55089.1149

Abstract
  In this study‎, ‎$R$ and $M$ are assumed to be a commutative ring with non-zero identity $M$ and an $R$-module‎, ‎respectively‎. ‎Scalar Product Graph of $M$‎, ‎denoted by $G_R(M)$‎, ‎is a graph with the vertex-set $M$ and two different vertices $a$ and $b$ in ...  Read More

Control and Optimization
Fuzzy Number-Valued Fuzzy Graph

Siyamak Firouzian; Mohamad Adabitabar Firozja

Volume 1, Issue 2 , October 2016, , Pages 77-86

Abstract
  Graph theory has an important role in the area of applications of networks and clustering‎. ‎In the case of dealing with uncertain data‎, ‎we must utilize ambiguous data such as fuzzy value‎, ‎fuzzy interval value or values of fuzzy number‎. ‎In this study‎, ‎values ...  Read More