University of KashanMathematics Interdisciplinary Research2538-36397120220301On Quasi-Ordering Hypergroups, Ordered Hyperstructures and Their Applications in Genetics11911190610.22052/mir.2022.242993.1299ENM.Al TahanDepartment of Mathematics,
Lebanese International University,
LebanonBijanDavvazDepartment of Mathematics,
Yazd University,
Yazd, IranJournal Article20210806The 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.University of KashanMathematics Interdisciplinary Research2538-36397120220301Modeling of Production Strategies from Common Offshore Gas Field with Game Theory Approach214411193310.22052/mir.2022.243449.1329ENSeyed PendarToufighiFaculty of Management, University of Tehran0000-0002-9561-865XMohamadrezaMehreganFaculty of Management, University of TehranAhmadJafarnejadFaculty of Management, University of TehranJournal Article20220115<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>University of KashanMathematics Interdisciplinary Research2538-36397120220301An Improved Trust Region Method Equipped by Filter Technique456011193410.22052/mir.2022.243421.1328ENZeinabSaeidianDepartment of Applied Mathematics,
University of Kashan,
Kashan, I. R. IranFarshidArzaniScientific Computations in Optimization and Systems Engineering (SCOPE),
K. N. Toosi University of Technology,
Tehran, I. R. Iranhttps://orcid.org/00Journal Article20220105Using 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.University of KashanMathematics Interdisciplinary Research2538-36397120220301Hyperbolic Ricci-Bourguignon-Harmonic Flow617611193510.22052/mir.2021.240451.1272ENShahroodAzamiDepartment of Pure Mathematics,
Faculty of Science,
Imam Khomeini International University,
Qazvin, IranJournal Article20210127In 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.University of KashanMathematics Interdisciplinary Research2538-36397120220301Incomplete and Interior Inverse Problem for a Discontinuous Differential Pencil with the Spectral Boundary Condition on the Half-Line778711193610.22052/mir.2022.243155.1314ENYasserKhaliliDepartment of Basic Sciences, Sari Agricultural Sciences and Natural Resources University, 578 Sari, Iran0000-0002-1402-8667AbdolaliNeamatyDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, IranJournal Article20211003Differential 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>.University of KashanMathematics Interdisciplinary Research2538-36397120220301Three Constructions on Graphs and Distance-Based Invariants8910311149110.22052/mir.2021.242881.1292ENMahdiehAzariDepartment of Mathematics,
Kazerun Branch,
Islamic Azad University,
P. O. Box: 73135-168, Kazerun, IranJournal Article20210605Many 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.