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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.
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Articles 12 Documents
Search results for , issue "Volume 24 Number 1 (April 2018)" : 12 Documents clear
Certain Bipolar Neutrosophic Competition Graphs Akram, Muhammad
Journal of the Indonesian Mathematical Society Volume 24 Number 1 (April 2018)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.24.1.455.1-25

Abstract

Different competitions of the real world have been designed by the bipolar neutrosophiccompetitions graphs. In this paper, we first introduce the concept of p-competition bipo-lar neutrosophic graphs. We then define generalization of bipolar neutrosophic competitiongraphs called m-step bipolar neutrosophic competition graphs. Further, we present somerelated bipolar neutrosophic graphs, including m-step bipolar neutrosophic neighbourhoodgraphs, bipolar neutrosophic economic competition graphs and m-step bipolar neutrosophiceconomic competition graphs. Finally, we describe an application of m-step bipolar neutro-sophic competition graphs.
Star Projective and Star Injective Hv-Modules Mortazavi, A.; Davvaz, Bijan
Journal of the Indonesian Mathematical Society Volume 24 Number 1 (April 2018)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.24.1.490.79-94

Abstract

In this paper, we introduce the concepts of product and directsum, star projective and star injective in $H_v$-modules. Weinvestigate generalizations of some notions in homological algebrato prove the five lemma and star projective and star injectivetheorems in $H_v$-modules. We determine  equivalent conditions for split sequences in $H_v$-modules and  present some related results.
Signless and normalized Laplacian spectrums of the power graph and its supergraphs of certain finite groups Hamzeh, Asma
Journal of the Indonesian Mathematical Society Volume 24 Number 1 (April 2018)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.24.1.478.61-69

Abstract

‎The aim of this article is to compute the signless and normalized Laplacian spectrums of the power graph‎, ‎its main supergraph and cyclic graph of dihedral and dicyclic groups‎.
2-Farthest orthogonality in generalized 2-normed spaces Mazaheri, Hamid; Abad, Mousavi Shams; Dehghan, M. A.
Journal of the Indonesian Mathematical Society Volume 24 Number 1 (April 2018)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.24.1.480.71-78

Abstract

In this paper, we consider the concepts 2-farthest orthogonalityin generalized 2-normed spaces, We obtain a necessary and coecient conditionsfor 2-remotal sets and 2-uniquely remotal sets in generalized 2-normedspaces.
First Eigenvalues of Geometric Operator under The Ricci-Bourguignon Flow Azami, Shahroud
Journal of the Indonesian Mathematical Society Volume 24 Number 1 (April 2018)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.24.1.434.51-60

Abstract

Let $(M,g(t))$ be a compact Riemannian manifold  and  the metric $g(t)$ evolve by the Ricci-Bourguignon flow. We find the formula variation of the eigenvalues of  geometric operator $-\Delta_{\phi}+cR$ under  the Ricci-Bourguignon flow, where  $\Delta_{\phi}$  is the Witten-Laplacian operator and $R$ is the scalar curvature. In the final  we show that some quantities dependent to the eigenvalues of  the geometric operator are  nondecreasing along the Ricci-Bourguignon flow on  closed manifolds  with nonnegative curvature.
Bayesian Estimation of Random Parameter Models of Responses with Normal and Skew-t Distibutions Evidence from Monte Carlo Simulation Masjkur, Mohammad; Folmer, Henk
Journal of the Indonesian Mathematical Society Volume 24 Number 1 (April 2018)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.24.1.516.27-50

Abstract

Random parameter models have been found to outperform xed pa-rameter models to estimate dose-response relationships with independent errors. Amajor restriction, however, is that the responses are assumed to be normally andsymmetrically distributed. The purpose of this paper is to analyze Bayesian infer-ence of random parameter response models in the case of independent responseswith normal and skewed, heavy-tailed distributions by way of Monte Carlo simu-lation. Three types of Bayesian estimators are considered: one applying a normal,symmetrical prior distribution, a second applying a Skew-normal prior and, a thirdapplying a Skew-t-distribution. We use the relative bias (RelBias) and Root MeanSquared Error (RMSE) as valuation criteria. We consider the commonly applied lin-ear Quadratic and the nonlinear Spillman-Mitscherlich dose-response models. Onesimulation examines the performance of the estimators in the case of independent,normally and symmetrically distributed responses; the other in the case of indepen-dent responses following a heavy-tailed, Skew-t-distribution. The main nding isthat the estimator based on the Skew-t prior outperforms the alternative estima-tors applying the normal and Skew-normal prior for skewed, heavy-tailed data. Fornormal data, the Skew-t prior performs approximately equally well as the Skew-normal and the normal prior. Furthermore, it is more ecient than its alternatives.Overall, the Skew-t prior seems to be preferable to the normal and Skew-normal fordose-response modeling.
First Eigenvalues of Geometric Operator under The Ricci-Bourguignon Flow Shahroud Azami
Journal of the Indonesian Mathematical Society Volume 24 Number 1 (April 2018)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.24.1.434.51-60

Abstract

Let $(M,g(t))$ be a compact Riemannian manifold  and  the metric $g(t)$ evolve by the Ricci-Bourguignon flow. We find the formula variation of the eigenvalues of  geometric operator $-\Delta_{\phi}+cR$ under  the Ricci-Bourguignon flow, where  $\Delta_{\phi}$  is the Witten-Laplacian operator and $R$ is the scalar curvature. In the final  we show that some quantities dependent to the eigenvalues of  the geometric operator are  nondecreasing along the Ricci-Bourguignon flow on  closed manifolds  with nonnegative curvature.
Certain Bipolar Neutrosophic Competition Graphs Muhammad Akram
Journal of the Indonesian Mathematical Society Volume 24 Number 1 (April 2018)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.24.1.455.1-25

Abstract

Different competitions of the real world have been designed by the bipolar neutrosophiccompetitions graphs. In this paper, we first introduce the concept of p-competition bipo-lar neutrosophic graphs. We then define generalization of bipolar neutrosophic competitiongraphs called m-step bipolar neutrosophic competition graphs. Further, we present somerelated bipolar neutrosophic graphs, including m-step bipolar neutrosophic neighbourhoodgraphs, bipolar neutrosophic economic competition graphs and m-step bipolar neutrosophiceconomic competition graphs. Finally, we describe an application of m-step bipolar neutro-sophic competition graphs.
Signless and normalized Laplacian spectrums of the power graph and its supergraphs of certain finite groups Asma Hamzeh
Journal of the Indonesian Mathematical Society Volume 24 Number 1 (April 2018)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.24.1.478.61-69

Abstract

‎The aim of this article is to compute the signless and normalized Laplacian spectrums of the power graph‎, ‎its main supergraph and cyclic graph of dihedral and dicyclic groups‎.
2-Farthest orthogonality in generalized 2-normed spaces Hamid Mazaheri; Mousavi Shams Abad; M. A. Dehghan
Journal of the Indonesian Mathematical Society Volume 24 Number 1 (April 2018)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.24.1.480.71-78

Abstract

In this paper, we consider the concepts 2-farthest orthogonalityin generalized 2-normed spaces, We obtain a necessary and coecient conditionsfor 2-remotal sets and 2-uniquely remotal sets in generalized 2-normedspaces.

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