Journal of the Indonesian Mathematical Society

Some Bond-Additive indices and Its Polynomial of Cellulose

2023-02-16T03:12:58+00:00

Cellulose is one of the natural bio-polymers which have been extensively used in various
fields due to their valuable and remarkable chemical and physical properties. Due to a key ingredients
of cellulose in various product, it’s applications have widely been recognized in many industries like
pharmaceutical, bio-fuel, textiles, etc. The study of graphs using chemistry attracts a lot of researchers
globally because of its enormous application. One such application is studying topological indices is a
numerical value of a chemical graph associated to a molecular structure. This work attempts to compute
cellulose chemical structure using topological indices based on the bond like szeged, Padmakar-Ivan(PI),
weighted version of PI and szeged index and its polynomial.

Operations and Similarity Measures Between (m,n)-Fuzzy Sets

2023-03-10T02:11:01+00:00

Recently Jun and Hur proposed (m, n)-fuzzy sets which can handle vagueness and uncertainty in information very efficiently in the process of solving complex problems. They defined basic operations over (m, n)-fuzzy sets. The present paper created some new operations over this super class of fuzzy sets and established many theorems related to the their properties. Further some distance and similarity measures of (m, n)-fuzzy sets are proposed and their properties are examined. Moreover, the proposed similarity measures are applied to the problem of pattern recognition.

Analytical Solution of Equations Governing Aligned Plane Rotating Magnetohydrodynamic Fluid Through Porous Media by Martin’s Method

2023-05-22T13:47:02+00:00

This investigation is an approach to setup an analytical solution of steady plane allied MHD fluid flow having infinite electrical conductivity in a rotating frame through porous media by Martin’s method. The governing non-linear
equations of the fluid flow are transformed into a new form called Martin’s form by employing differential geometry where the curvilinear co-ordinates (Φ, Ψ) in the plane of flow shows that, the co-ordinate lines Ψ are the streamlines of flow and the co-ordinate lines Φ are arbitrary constants. Exact solution is obtained and velocity,
vorticity, current density magnetic field and pressure distribution are found out. Also, the diagrams have been plotted to sketch the streamline patterns and to study variation of pressure function with angular velocity.

The Characterization of Almost Prime Submodule on the Finitely Generated Module over Principal Ideal Domain

2023-09-16T04:10:06+00:00

In most cases, almost prime submodules are equivalent to prime submodules, but in a finitely generated module, it is not necessarily equivalent. Based on the fact that a finitely generated module over a principal ideal domain can be decomposed into a free part and a torsion part, we give a new approach to the characteristic of almost prime submodules in the finitely generated module, especially we point out the cases when the submodules are almost prime but not prime.

Green Probabilistic Inventory Model with Shortage Backordering, Carbon Emission Cost, and Imperfect Quality Items: A Newton-Raphson Method Approach Using Python

2024-04-05T01:29:00+00:00

In this paper, a green inventory model has been developed to explain the relationship between a single manufacturer and many retailers in a multiplayer supply chain system. It is assumed that there exist some imperfect items in a quantity lot. In green inventory, one of the important issues is carbon emission with its cost to inventory management. Some troubles in the transportation process yield imperfect quality items. This trouble is the potential to increase the amount of carbon emission and some imperfect quality items. It also affects the cost of the inventory. Therefore, these two aspects will be analyzed under the shortage backorder policy. Due to the complexity of the model, the classical optimization methods cannot be used to determine the optimum values exactly. Therefore, formulation optimization is predominantly conducted using a numerical approach for finding partial derivatives and Newton-Raphson's method for finding the optimal solution. These methods are assisted by the Python programming language, operated within the Google Colab environment and Spyder (Python 3.8) using Anaconda environment.

On Weakly S-Prime Elements of Lattices

2024-01-09T07:05:16+00:00

Let £ be a bounded distributive lattice and S a join-subset of £. In this paper, we introduce the concept of S-prime elements (resp. weakly S-prime elements) of £. Let p be an element of £ with S ∧p = 0 (i.e. s∧p = 0 for all s ∈ S). We say that p is an S-prime element (resp. a weakly S-prime element) of £ if there is an element s ∈ S such that for all x, y ∈ £ if p ≤ x ∨ y (resp. p ≤ x ∨ y 6= 1), then p ≤ x ∨ s or p ≤ y ∨ s. We extend the notion of S-prime property in commutative rings to S-prime property in lattices.

Hub Parameters of Hypergraph

2023-06-28T09:18:28+00:00

A hypergraph is an extension of a graph in which one edge can connect any number of vertices. In contrary, an edge connects exactly two vertices in a graph.In this paper we introduce hub-hyperpath, hubset and hubnumber of a hypergraph. Also we defined the hubnumber of a different types of hypergraphs and analyze some of its properties. Then the hub number of a hypergraph is compared with its dual hypergraph. Hubset can be useful for various tasks, such as targeted marketing and social networks. Additionally, finding the hub number of a graph is useful in network security, as it helps in identifying nodes that, if compromised, could have a significant impact on the overall network.