2022-05-20T16:02:04Z
https://mir.kashanu.ac.ir/?_action=export&rf=summon&issue=15354
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2022
7
1
On Quasi-Ordering Hypergroups, Ordered Hyperstructures and Their Applications in Genetics
M.
Al Tahan
Bijan
Davvaz
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 F2-offspring.
Quasi-ordering hypergroup
Po-hypergroup
Fundamental group
Phenotype
Genotype
2022
03
01
1
19
https://mir.kashanu.ac.ir/article_111906_ef1d074422e2b728afe5933ee2b90262.pdf
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2022
7
1
Modeling of Production Strategies from Common Offshore Gas Field with Game Theory Approach
Seyed Pendar
Toufighi
Mohamadreza
Mehregan
Ahmad
Jafarnejad
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.
Common Fields
optimization
Game Theory
Offshore
Arash Gas Field
2022
03
01
21
44
https://mir.kashanu.ac.ir/article_111933_778d64250b7c6cb5013eec85097717c6.pdf
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2022
7
1
An Improved Trust Region Method Equipped by Filter Technique
Zeinab
Saeidian
Farshid
Arzani
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
2022
03
01
45
60
https://mir.kashanu.ac.ir/article_111934_f1b8570c12f52675319ba8055bff70c1.pdf
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2022
7
1
Hyperbolic Ricci-Bourguignon-Harmonic Flow
Shahrood
Azami
In this paper, we consider hyperbolic Ricci-Bourguignon flow on a compact Riemannian manifold M coupled with the harmonic map flow between M and a fixed manifold N. 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 M 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
2022
03
01
61
76
https://mir.kashanu.ac.ir/article_111935_76f6751f8d6e1babca74174d0feb9684.pdf
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2022
7
1
Incomplete and Interior Inverse Problem for a Discontinuous Differential Pencil with the Spectral Boundary Condition on the Half-Line
Yasser
Khalili
Abdolali
Neamaty
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 β1 ,β0 and potentials p,q on (0,a), only eigenvalues suffice to determine the boundary value problem B. (ii) some in formation on eigenfunctions at x = a and eigenvalues establish the boundary value problem B.
Inverse problem
Differential pencil
Spectral boundary condition
Discontinuity
2022
03
01
77
87
https://mir.kashanu.ac.ir/article_111936_a16d3692d646ee0022587c4862051b46.pdf
Mathematics Interdisciplinary Research
Math. Interdisc. Res.
2538-3639
2538-3639
2022
7
1
Three Constructions on Graphs and Distance-Based Invariants
Mahdieh
Azari
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
2022
03
01
89
103
https://mir.kashanu.ac.ir/article_111491_0310d92d0ad3bbb8511e3db4dffce768.pdf