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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
Application of Jaccard Distance Measure for IVIF MCDM Problems Vulimiri, Anusha; Veeramachaneni, Sireesha
Journal of the Indonesian Mathematical Society VOLUME 27 NUMBER 3 (November 2021)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.27.3.1006.249-260

Abstract

This paper proposes an approach to solve Multiple Criteria Decision-making (MCDM) problems when the data given by expert is Interval-Valued Intuitionistic Fuzzy (IVIF) information. A decision-making model is constructed by using the distance measure: Normalized Jaccard distance measure. The robustness of the model is illustrated and validated through numerical example. Further, the problem of choosing best e-learning tool in higher education is considered as a case study.
Cayley Graphs Versus Algebraic Graphs Pranjali, Pranjali; Kumar, Amit; Yadav, Tanuja
Journal of the Indonesian Mathematical Society VOLUME 27 NUMBER 2 (July 2021)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.27.2.800.130-136

Abstract

Let Γ be a finite group and let S ⊆ Γ be a subset. The Cayley graph, denoted byCay(Γ, S) has vertex set Γ and two distinct vertices x, y ∈ Γ are joined by a directed edge fromx to y if and only if there exists s ∈ S such that x = sy. In this manuscript, we characterize the generating setsS for which Cay(Γ, S) is isomorphic to somealgebraic graphs, namely, unit graphs, co-unit graphs, total graph and co-total graphs.
A Theory of Approximate Reasoning with Type-2 Fuzzy Set Mandal, Sudin; Karim, Injamam Ul; Raha, Swapan
Journal of the Indonesian Mathematical Society VOLUME 27 NUMBER 1 (MARCH 2021)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.27.1.905.9-28

Abstract

In this paper, an attempt is made to study approximate reasoning based on a Type-2 fuzzy set theory. In the process, we have examined the underlying fuzzy logic structure on which the reasoning is formulated. We have seen that the partial/incomplete/imprecise truth-values of elements of a type-2 fuzzy set under consideration forms a lattice. We propose two new lattice operations which ultimately help us to define a residual and thereby making the structure of truth- values a residuated lattice. We have focused upon two typical rules of inference used mostly in ordinary approximate reasoning methodology based on Type-1 fuzzy set theory. Our proposal is illustrated with typical artificial examples.
Numerical Solutions for Convective Boundary Layer Flow of Micropolar Jeffrey Fluid with Prescribe Wall Temperature Rawi, Noraihan Afiqah; Mohd Zin, Nor Athirah; Khalid, Asma; Mohd Kasim, Abdul Rahman; Mat Isa, Zaiton; Shafie, Sharidan
Journal of the Indonesian Mathematical Society VOLUME 26 NUMBER 3 (NOVEMBER 2020)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.26.3.553.286-298

Abstract

The steady two dimensional convective boundary layer flow of micropolar Jeffrey fluid past a permeable stretching sheet is studied in this paper. The governing boundary layer equation in the form of partial differential equations are transformed into nonlinear coupled ordinary differential equations and solved numerically using an implicit finite-difference scheme known as Keller-box method. The effects of Prandtl number, Deborah number, and material parameter with the boundary condition for microrotation, n = 0 (strong concentration of microelements) on the velocity, microrotation, temperature profiles as well as the skin friction and heat transfer coefficients are presented and discussed. An excellent agreement is observed between the present and earlier published results for some special cases. The results revealed that, the effect of Deborah number and stretching parameter are increased the heat transfer coefficient while the opposite trend is observed for the effects of material and velocity slip parameters. It was also observed that, the values of skin friction increased with the increment on the values of all studied parameters.
Effect of Thermal Stresses and Reduced Differential Transform on Bending of The Rectangular Plate Sutar, Chandrashekhar S.; Patil, Sandip N.
Journal of the Indonesian Mathematical Society VOLUME 27 NUMBER 2 (July 2021)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.27.2.976.199-211

Abstract

The bending of the rectangular plate exists for a large length comparing with its width as we have considered the simply supported plate. Also, it gets the accuracy, if the plate is attached between enough distance from the ends. This paper concern with the study of bending moment in the rectangular plate by using the thermal stresses. In this paper, we have considered the mathematical model of the unsteady state three-dimensional heat conduction equation for a thick rectangular plate with non-zero temperature initially. We have determined the thermal stresses and the bending moment in the rectangular plate by using the reduced differential transform method. The results are discussed by considering the special cases for copper material. Also, results are shown graphically. The graphs are drawn by using mathematical software Scilab.
Strong Convergence of A Hybrid Method for Infinite Family of Nonexpansive Mapping and Variational Inequality Rathee, Savita; Swami, Monika
Journal of the Indonesian Mathematical Society VOLUME 27 NUMBER 1 (MARCH 2021)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.27.1.955.90-102

Abstract

The motivation behind this paper is to use hybrid method for searching a typical component of the set of fixed point of an infinite family of non expansive mapping and the set of monotone, Lipschtiz continuous variational inequality problem. The contemplated method is combination of two method one is extragradient method and the other one is DQ method. Also, we demonstrate the strong convergence of the designed iterative technique, under some warm conditions.
Gourava and Hyper-Gourava Indices of Some Cactus Chains Basavanagoud B.; Shruti Policepatil
Journal of the Indonesian Mathematical Society VOLUME 27 NUMBER 3 (November 2021)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.27.3.989.249-261

Abstract

The mathematical chemistry deals with applications of graph theory to study the physicochemical properties of molecules theoretically. A topological index of a graph is a numeric quantity obtained from the graph mathematically. A cactus graph is a connected graph in which no edges lie in more than one cycle. In this paper, we compute Gourava and hyper-Gourava indices of some cactus chains.
Application of Jaccard Distance Measure for IVIF MCDM Problems Anusha Vulimiri; Sireesha Veeramachaneni
Journal of the Indonesian Mathematical Society VOLUME 27 NUMBER 3 (November 2021)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.27.3.1006.249-260

Abstract

This paper proposes an approach to solve Multiple Criteria Decision-making (MCDM) problems when the data given by expert is Interval-Valued Intuitionistic Fuzzy (IVIF) information. A decision-making model is constructed by using the distance measure: Normalized Jaccard distance measure. The robustness of the model is illustrated and validated through numerical example. Further, the problem of choosing best e-learning tool in higher education is considered as a case study.
Analysis of Forest Carrying Capacity on Eos histrio in North Sulawesi Nastitie Nastitie; Gantina Rachmaputri
Journal of the Indonesian Mathematical Society VOLUME 27 NUMBER 3 (November 2021)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.27.3.1018.261-269

Abstract

The International Union for the Conservation of Nature and Natural Resource (IUCN) Red List found that there are currently over 8.000 critically endangered species and the number seems likely to rise in the future. One of the species included in the IUCN Red List is Eos histrio, also known as the Red-and-blue lory, a bird endemic to Indonesia that inhabits Nusa Utara Islands, North Sulawesi. It lives in a forest with tall trees as its natural habitat. According to the Central Bureau of Statistics (BPS), the forest area is decreasing every year and has caused the bird to lose their habitats and its population is declining. IUCN also reported that there are 8.230 – 21.400 Eos histrio in 1999, however in 2016, it was only around 5.500 – 14.000. Its population will be declining due to extensive deforestation and poor conservation. Using Pontryagin maximum principle, this study found that one of the methods to protect the Eos histrio population is by reducing deforestation in North Sulawesi by at least 10% where the population of the bird could increase within a year.
k-Product Cordial Behaviour of Union of Graphs K. Jeya Daisey; R. Santrin Sabibha; P. Jeyanthi; Maged Z. Youssef
Journal of the Indonesian Mathematical Society VOLUME 28 NUMBER 1 (MARCH 2022)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.28.1.1025.1-7

Abstract

Let f be a map from V (G) to {0, 1, ..., k − 1} where k is an integer, 1 ≤ k ≤ |V (G)|. For each edge uv assign the label f(u)f(v)(mod k). f is called a k-product cordial labeling if |vf (i) − vf (j)| ≤ 1, and |ef (i) − ef (j)| ≤ 1, i, j ∈ {0, 1, ..., k − 1}, where vf (x) and ef (x) denote the number of vertices and edges respectively labeled with x (x = 0, 1, ..., k − 1). In this paper, we investigate the k-product cordial behaviour of union of graphs

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