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Journal of the Indonesian Mathematical Society
ISSN : 20868952     EISSN : 24600245     DOI : -
Core Subject : Education,
Journal of the Indonesian Mathematical Society disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and their applications.
Arjuna Subject : -
Articles 625 Documents
Study of Neutrosophic Magnified Translation on Incline Algebra Surya Manokaran; Muralikrishna Prakasam
Journal of the Indonesian Mathematical Society VOLUME 29 NUMBER 1 (MARCH 2023)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.29.1.1263.125-134

Abstract

The concept of magnified translation is studied in Neutrosophic set which is a segregation of mf (membership function) is known as t(truth)mf, i(indeterminate)mf, and f(falsity)mf which has been applied in incline algebra sub - structures and raises with a name called neutrosophic incline substructures are interlinked with the new frame of (nmt) neutrosophic magnified translation. Further, some more engrossing outputs such as homomorphic image, preimage and cartesian product on this neutrosophic magnified translation of incline substructure are investigated.
The e-Open Sets in Neutrosophic Hypersoft Topological Spaces and Application in Covid-19 Diagnosis using Normalized Hamming Distance S. Aranganayagi; M. Saraswathi; K. Chitirakala; A. Vadivel
Journal of the Indonesian Mathematical Society VOLUME 29 NUMBER 2 (JULY 2023)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.29.2.1271.177-196

Abstract

In this paper, we introduce a neutrosophic hypersoft e-open set which is the union of neutrosophic hypersoft δ-pre open sets and neutrosophic hypersoft δ-semi open sets in neutrosophic hypersoft topological spaces. Also, we discuss about the relations between neutrosophic hypersoft δ-pre open sets, neutrosophic hypersoft δ-semi open sets, neutrosophic hypersoft e-open sets and neutrosophic hypersoft e∗-open sets and their properties with the examples. Moreover, we investigate some of the basic properties of neutrosophic hypersoft e-interior and e-closure in a neutrosophic hypersoft topological space and proposed some examples for important results. Added to that, an application in Covid-19 diagnosis using normalized Hamming distance via neutrosophic hypersoft sets is discussed.
Quasicontinuous Function on Strong Forms of Connected Space Chander Mohan Bishnoi; Sanjay Mishra
Journal of the Indonesian Mathematical Society VOLUME 29 NUMBER 1 (MARCH 2023)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.29.1.1278.106-115

Abstract

Preservation of properties under continuous functions on topological spaces is a very important tool for the classification of topological spaces. However, in some cases the quaiscontinuous functions are more useful than the continuous functions for classifying topological spaces. In this paper, we study preservation of strong forms of connectedness under quasicontinuous function that help to prove the general form of intermediate value theorem.
On Horadam-Lucas Sequence Ahmet Daşdemir
Journal of the Indonesian Mathematical Society VOLUME 29 NUMBER 1 (MARCH 2023)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.29.1.1280.116-124

Abstract

Horadam introduced a generalized sequence of numbers, describing its key features and the special sub-sequences obtained from specific choices of initial parameters. This sequence and its sub-sequences are known as the Horadam, generalized Fibonacci, and generalized Lucas numbers, respectively. In the present study, we propose another new sequence, which satisfies a second-order recurrence relation. Further, we prove the Binet’s formula, some famous identities, and summation formulas for this new sequence. In particular, we demonstrate the interrelationships between our new sequence and the Horadam sequence.
Some Bond-Additive indices and Its Polynomial of Cellulose KANDAN, P.; Subramanian, S.
Journal of the Indonesian Mathematical Society VOLUME 30 NUMBER 1 (MARCH 2024)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.30.1.1298.1-20

Abstract

Cellulose is one of the natural bio-polymers which have been extensively used in variousfields due to their valuable and remarkable chemical and physical properties. Due to a key ingredientsof cellulose in various product, it’s applications have widely been recognized in many industries likepharmaceutical, bio-fuel, textiles, etc. The study of graphs using chemistry attracts a lot of researchersglobally because of its enormous application. One such application is studying topological indices is anumerical value of a chemical graph associated to a molecular structure. This work attempts to computecellulose chemical structure using topological indices based on the bond like szeged, Padmakar-Ivan(PI),weighted version of PI and szeged index and its polynomial.
Hamiltonicity and Eulerianity of Some Bipartite Graphs Associated to Finite Groups Niswah Qonita; Yeni Susanti
Journal of the Indonesian Mathematical Society VOLUME 29 NUMBER 2 (JULY 2023)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.29.2.1319.166-176

Abstract

Let G be a finite group. Associate a simple undirected graph Γ_G with G, called bipartite graph associated to elements and cosets of subgroups of G, as follows : Take G ∪ S_G as the vertices of Γ_G, with S_G is the set of all subgroups of a group G and join two vertices a ∈ G and H ∈ S_G if and only if aH = Ha. In this paper, hamiltonicity and eulerianity of Γ_G for some finite groups G are studied. In particular, it is obtained that for any cyclic group G, Γ_G is hamiltonian if and only if |G| = 2 and Γ_G is eulerian if and only if |G| is even non-perfect square number. Also, we prove that Γ_Dn is eulerian if k is even and n = 2k and for some other cases of n, Γ_Dn is not eulerian.
Total Edge Irregularity Strength of the Cartesian Product of Bipartite Graphs and Paths Rachel Wulan Nirmalasari Wijaya; Joe Ryan; Thomas Kalinowski
Journal of the Indonesian Mathematical Society VOLUME 29 NUMBER 2 (JULY 2023)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.29.2.1321.156-165

Abstract

For a simple graph G = (V (G), E(G)), a total labeling ∂ is called an edge irregular total k-labeling of G if ∂ : V (G) ∪ E(G) → {1, 2, . . . , k} such that for any two different edges uv and u'v' in E(G), we have wt∂(uv) not equal to wt∂(u'v') where wt∂(uv) = ∂(u) + ∂(v) + ∂(uv). The minimum k for which G has an edge irregulartotal k-labeling is called the total edge irregularity strength, denoted by tes(G). It is known that ceil((|E(G)|+2)/3) is a lower bound for the total edge irregularity strength of a graph G. In this paper we prove that if G is a bipartite graph for which this bound is tight then this is also true for Cartesian product of G with any path.
A Unified Distance Approach for Ranking Fuzzy Numbers and Its Comparative Reviews Prasad, Shiv Prasad; Shatabdi Sinha
Journal of the Indonesian Mathematical Society VOLUME 29 NUMBER 3 (NOVEMBER 2023)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.29.3.1337.347-371

Abstract

Even though a large number of research studies have been presented in recent years for ranking and comparing fuzzy numbers, the majority of existing techniques suffer from plenty of shortcomings. These shortcomings include counterintuitiveness, the inability to distinguish the fuzzy number and its partnered image, and the inconsistent ability to distinguish symmetric fuzzy numbers and fuzzy numbers that represent the compensation of areas. To overcome the cited drawbacks, this paper suggests a unified distance that multiplies the centroid value (weighted mean value) of the fuzzy number on the horizontal axis and a linear sum of thedistances of the centroid points of the left and right fuzziness areas from the originalpoint through an indicator. The indicator reflects the attitude of the left andright fuzziness of the fuzzy number, we can call it the indicator of fuzziness. To usethis technique, the membership functions of the fuzzy numbers need not be linear.That is the proposed approach can also rank the fuzzy numbers with non-linearmembership functions. The suggested technique is highly convenient and reliable todiscriminate the symmetric fuzzy numbers and the fuzzy numbers having compensationof areas. The advantages of the proposed approach are illustrated throughexamples that are common for a wide range of numerical studies and comparisonswith several representative approaches, that existed in the literature.
Operations and Similarity Measures Between (m,n)-Fuzzy Sets Thakur, Samajh Singh; Banafar, Anita Singh; Thakur, Mahima; Pandey Bajpai, Jyoti; Prasad, Archana Kumari
Journal of the Indonesian Mathematical Society VOLUME 30 NUMBER 1 (MARCH 2024)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.30.1.1354.21-39

Abstract

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 Birendra, Birendra Kumar Vishwakarma; Sil, Sayantan; Kumar, Manoj
Journal of the Indonesian Mathematical Society VOLUME 30 NUMBER 1 (MARCH 2024)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.30.1.1356.40-62

Abstract

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-linearequations 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.

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