Applied Mathematics
A Mathematical Model of the Electrical Power Management Systems Using the Core Values in Cooperative Game

Mohammed Musa; Jabbar Abbas

Volume 5, Issue 1 , March 2025, , Page 46-54

https://doi.org/10.53293/jasn.2025.7507.1322

Abstract
  In the context of game theory, cooperative game has been applied in several fields and can be successfully used to evaluate the players (people or companies) involved. In cooperative game theory, the core is a concept that represents the set of feasible allocations (or distributions of total payoff) ...  Read More ...

Applied Mathematics
The connection between Graphs' Chromatic and Ehrhart Polynomials

Ola A. Neamah; Shatha A. Salman

Volume 3, Issue 4 , December 2023, , Page 62-68

https://doi.org/10.53293/jasn.2023.6994.1220

Abstract
  Graph Theory is a discipline of mathematics with numerous outstanding issues and applications in various sectors of mathematics and science. The chromatic polynomial is a type of polynomial that has valuable and attractive qualities. Ehrhart's polynomials and chromatic analysis are two essential techniques ...  Read More ...

Applied Mathematics
Calculating Modern Roman Domination of Fan Graph and Double Fan Graph

Saba Salah; Ahmed A. Omran; Manal N. Al-Harere

Volume 2, Issue 2 , June 2022, , Page 47-54

https://doi.org/10.53293/jasn.2021.3906.1060

Abstract
  This paper is concerned with the concept of modern Roman domination in graphs. A Modern Roman dominating function on a graph is labeling such that every vertex with label 0 is adjacent to two vertices; one of them of label 2 and the other of label 3 and every vertex with label 1 is adjacent to a vertex ...  Read More ...

Applied Mathematics
Some Properties of Strongly Principally Self-Injective Modules

Khalid S. Munshid; Mohanad F. Hamid; Jehad R. Kider

Volume 2, Issue 2 , June 2022, , Page 132-141

https://doi.org/10.53293/jasn.2021.3248.1096

Abstract
  The idea of generalizing quasi injective by employing a new term is introduced in this paper. The introduction of principally self-injective modules, which are principally self-injective modules. A number of characteristics and characterizations of such modules have been established. In addition, the ...  Read More ...

Applied Mathematics
A Generalization of the Concave Integral in Terms of Decomposition of the Integrated Function for Bipolar Scales

Fadheela Kareem; Jabbar Abbas

Volume 1, Issue 4 , December 2021, , Page 81-90

https://doi.org/10.53293/jasn.2021.3985.1065

Abstract
  In the context of the multiple-criteria decision aid (MCDA), several fuzzy integrals concerning capacities (non-additive measures) have been introduced by various researchers in the last sixty years.  Recently, Lehrer has proposed a new integral for capacities known as concave integral. The concave ...  Read More ...

Applied Mathematics
Extended Chaotic Nonlinear Programming Technique Constructing with Genetic Algorithms

Bahaa Kamal; Nadia Al-Saidi

Volume 1, Issue 1 , March 2021, , Page 15-22

https://doi.org/10.53293/jasn.2021.11018

Abstract
  Chaos theory has attracted much attention because it fully reflects the complexity of the system, which is an essential property in many applications, especially in the optimization problem.  In this paper, the possibility of improving research by means of evolutionary algorithms (genetic algorithms) ...  Read More ...