University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
7
1
2022
03
01
On Quasi-Ordering Hypergroups, Ordered Hyperstructures and Their Applications in Genetics
1
19
EN
M.
Al Tahan
Department of Mathematics,
Lebanese International University,
Lebanon
madeline.tahan@liu.edu.lb
Bijan
Davvaz
Department of Mathematics,
Yazd University,
Yazd, Iran
davvaz@yazd.ac.ir
10.22052/mir.2022.242993.1299
The study of hypercompositional structures (introduced by Marty) is now considered of a great value because of its applications in various sciences. In this paper, we focus on a special hypercompositional structure; quasi-ordering hypergroup. In this regard, we discuss some of the quasi-ordering hypergroup’s properties and investigate some relations on it. Then, we present an application of quasi-ordering hypercompositional structures in genetics and define ordered hypercompositional structures for both sets: phenotypes and genotypes of F<sub>2</sub>-offspring.
Quasi-ordering hypergroup,Po-hypergroup,Fundamental group,Phenotype,Genotype
https://mir.kashanu.ac.ir/article_111906.html
https://mir.kashanu.ac.ir/article_111906_ef1d074422e2b728afe5933ee2b90262.pdf
University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
7
1
2022
03
01
Modeling of Production Strategies from Common Offshore Gas Field with Game Theory Approach
21
44
EN
Seyed Pendar
Toufighi
0000-0002-9561-865X
Faculty of Management, University of Tehran
toufighi.p@ut.ac.ir
Mohamadreza
Mehregan
Faculty of Management, University of Tehran
mehregan@ut.ac.ir
Ahmad
Jafarnejad
Faculty of Management, University of Tehran
jafarnjd@ut.ac.ir
10.22052/mir.2022.243449.1329
<span class="fontstyle0">Common oil and gas fields are among the most valuable income and national wealth sources, so production delays cause irreparable damage to the national economy. The existing functions of revenues and production costs of gas fields have been identified and extracted from the current literature to optimize the production strategy. Cost func-tions include exploration, development, operation, production facility and wellhead, facility depreciation costs, and revenue functions include demand and income functions. After designing the model using mathematical optimiza-tion, the decision variables’ values have been calculated as optimal production, selling price, and profit for each play-er. For this purpose, two strategies of cooperation and non-cooperation were considered for each player. Solving the designed games showed that the best strategy and Nash equilibrium for the research case study is the strategy of co-operation. Also, according to the results of the equilibrium of designed games based on cooperation strategy, it is suggested that one of the main approaches of research case study in common fields is the process of multilateral and cooperative development.</span>
Common Fields,optimization,Game Theory,Offshore,Arash Gas Field
https://mir.kashanu.ac.ir/article_111933.html
https://mir.kashanu.ac.ir/article_111933_778d64250b7c6cb5013eec85097717c6.pdf
University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
7
1
2022
03
01
An Improved Trust Region Method Equipped by Filter Technique
45
60
EN
Zeinab
Saeidian
Department of Applied Mathematics,
University of Kashan,
Kashan, I. R. Iran
saeidian@kashanu.ac.ir
Farshid
Arzani
https://orcid.org/00
Scientific Computations in Optimization and Systems Engineering (SCOPE),
K. N. Toosi University of Technology,
Tehran, I. R. Iran
farzani@dena.kntu.ac.ir
10.22052/mir.2022.243421.1328
Using a filter technique, a new efficient nonmonotone trust region method is proposed. The proposed scheme is based on updating the approximation of the Hessian matrix with the scaled memoryless BFGS update formula. To update the trust region radius, an appropriate adaptive scheme is used. Moreover, a proper nonmonotone procedure is applied. Assuming some suitable assumptions, the global convergence is obtained. Numerical results are reported to show the efficiency of the offered approach.
Nonmonotone adaptive trust region methods,Scaled memoryless BFGS update,Filter technique,Global convergence
https://mir.kashanu.ac.ir/article_111934.html
https://mir.kashanu.ac.ir/article_111934_f1b8570c12f52675319ba8055bff70c1.pdf
University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
7
1
2022
03
01
Hyperbolic Ricci-Bourguignon-Harmonic Flow
61
76
EN
Shahrood
Azami
0000-0002-8976-2014
Department of Pure Mathematics,
Faculty of Science,
Imam Khomeini International University,
Qazvin, Iran
azami@sci.ikiu.ac.ir
10.22052/mir.2021.240451.1272
In this paper, we consider hyperbolic Ricci-Bourguignon flow on a compact Riemannian manifold <em>M</em> coupled with the harmonic map flow between <em>M</em> and a fixed manifold <em>N</em>. At the first, we prove the unique short-time existence to solution of this system. Then, we find the second variational of some geometric structure of <em>M</em> along this system such as, curvature tensors. In addition, for emphasize the importance of hyperbolic Ricci-Bourguignon flow, we give some examples of this flow on Riemannian manifolds.
Ricci flow,Hyperbolic equation,Harmonic map,Strictly hyperbolicity
https://mir.kashanu.ac.ir/article_111935.html
https://mir.kashanu.ac.ir/article_111935_76f6751f8d6e1babca74174d0feb9684.pdf
University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
7
1
2022
03
01
Incomplete and Interior Inverse Problem for a Discontinuous Differential Pencil with the Spectral Boundary Condition on the Half-Line
77
87
EN
Yasser
Khalili
0000-0002-1402-8667
Department of Basic Sciences, Sari Agricultural Sciences and Natural Resources University, 578 Sari, Iran
y.khalili@sanru.ac.ir
Abdolali
Neamaty
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
namaty@umz.ac.ir
10.22052/mir.2022.243155.1314
Differential pencils on the half-line with a spectral boundary condition having a discontinuity in an interior point are investigated. We prove two uniqueness theorems: (i) knowing <em>β</em><sub>1</sub> ,<em>β</em><sub>0</sub> and potentials <em>p</em>,<em>q</em> on (0,<em>a</em>), only eigenvalues suffice to determine the boundary value problem <em>B</em>. (ii) some in formation on eigenfunctions at <em>x</em> = <em>a </em>and eigenvalues establish the boundary value problem <em>B</em>.
Inverse problem,Differential pencil,Spectral boundary condition,Discontinuity
https://mir.kashanu.ac.ir/article_111936.html
https://mir.kashanu.ac.ir/article_111936_a16d3692d646ee0022587c4862051b46.pdf
University of Kashan
Mathematics Interdisciplinary Research
2538-3639
2476-4965
7
1
2022
03
01
Three Constructions on Graphs and Distance-Based Invariants
89
103
EN
Mahdieh
Azari
Department of Mathematics,
Kazerun Branch,
Islamic Azad University,
P. O. Box: 73135-168, Kazerun, Iran
mahdie.azari@gmail.com
10.22052/mir.2021.242881.1292
Many graphs are constructed from simpler ones by the use of operations on graphs, and as a consequence, the properties of the resulting constructions are strongly related to the properties of their constituents. This paper is concerned with computing some distance-based graph invariants for three constructions on graphs namely double graph, extended double cover, and strong double graph.
Distance in graph,graph invariant,composite graph
https://mir.kashanu.ac.ir/article_111491.html
https://mir.kashanu.ac.ir/article_111491_0310d92d0ad3bbb8511e3db4dffce768.pdf