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Journal of the Indonesian Mathematical Society
Published by Indonesian Mathematical Society
ISSN : 20868952     EISSN : 24600245     DOI : -
Core Subject : Education,
Mathematics
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 9 Documents
 1 
Search results for , issue "VOLUME 27 NUMBER 3 (November 2021)" : 9 Documents clear
Analysis of Forest Carrying Capacity on Eos histrio in North Sulawesi Nastitie, Nastitie; Rachmaputri, Gantina
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.
On Birkhoff Angles in Normed Spaces Gunawan, Hendra; Jamaludin, Muhamad; Pratamadirdja, Mas Daffa
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.27.3.1030.270-284

Abstract

Associated to Birkhoff orthogonality, we study Birkhoff angles in a normed space and present some of their basic properties. We also discuss how to decide whether an angle is more acute or more obtuse than another. In addition, given two vectors $x$ and $y$ in a normed space, we study the formula for Birkhoff `cosine' of the angle from $x$ to $y$ from which we can, in principal, compute the angle. Some examples will be presented.
Connectivity Indices of Coprime Graph of Generalized Quarternion Group Zahidah, Siti; Mahanani, Dwi Mifta; Oktaviana, Karine Lutfiah
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.27.3.1043.285-296

Abstract

Generalized quarternion group (Q_(4n)) is a group of order $4n$ that is generated by two elements x and y with the properties x^{2n}=y^4=e and xy=yx^{-1}. The coprime graph of Q_{4n}, denoted by Omega_{Q_{4n}}, is a graph with the vertices are elements of Q_{4n} and the edges are generated by two elements that have coprime order. The first result of this paper presented that Omega_{Q_{4n}} is a tripartite graph for n is odd and Omega_{Q_{4n}} is a star graph for n is even. The second one presented the connectivity indices of Omega_{Q_{4n}}. Connectivity indices of a graph is a research area in mathematics that popularly applied in chemistry. There are six indices that are presented in this paper, those are first Zagreb index, second Zagreb index, Wiener index, hyper-Wiener index, Harary index, and Szeged index.Generalized quaternion group (Q4n) is a group of order 4n that is generated by two elements x and y with the properties x 2n = y 4 = e and xy = yx−1 . The coprime graph of Q4n, denoted by ΩQ4n , is a graph with the vertices are elements of Q4n and the edges are formed by two elements that have coprime order. The first result of this paper presents that ΩQ4n is a tripartite graph for n is an odd prime and ΩQ4n is a star graph for n is a power of 2. The second one presents the connectivity indices of ΩQ4n . Connectivity indices of a graph is a research area in mathematics that popularly applied in chemistry. There are six indices that are presented in this paper, those are first Zagreb index, second Zagreb index, Wiener index, hyper-Wiener index, Harary index, and Szeged index.
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.
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.
On Birkhoff Angles in Normed Spaces Hendra Gunawan; Muhamad Jamaludin; Mas Daffa Pratamadirdja
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.27.3.1030.270-284

Abstract

Associated to Birkhoff orthogonality, we study Birkhoff angles in a normed space and present some of their basic properties. We also discuss how to decide whether an angle is more acute or more obtuse than another. In addition, given two vectors $x$ and $y$ in a normed space, we study the formula for Birkhoff `cosine' of the angle from $x$ to $y$ from which we can, in principal, compute the angle. Some examples will be presented.
Connectivity Indices of Coprime Graph of Generalized Quarternion Group Siti Zahidah; Dwi Mifta Mahanani; Karine Lutfiah Oktaviana
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.27.3.1043.285-296

Abstract

Generalized quarternion group (Q_(4n)) is a group of order $4n$ that is generated by two elements x and y with the properties x^{2n}=y^4=e and xy=yx^{-1}. The coprime graph of Q_{4n}, denoted by Omega_{Q_{4n}}, is a graph with the vertices are elements of Q_{4n} and the edges are generated by two elements that have coprime order. The first result of this paper presented that Omega_{Q_{4n}} is a tripartite graph for n is odd and Omega_{Q_{4n}} is a star graph for n is even. The second one presented the connectivity indices of Omega_{Q_{4n}}. Connectivity indices of a graph is a research area in mathematics that popularly applied in chemistry. There are six indices that are presented in this paper, those are first Zagreb index, second Zagreb index, Wiener index, hyper-Wiener index, Harary index, and Szeged index.Generalized quaternion group (Q4n) is a group of order 4n that is generated by two elements x and y with the properties x 2n = y 4 = e and xy = yx−1 . The coprime graph of Q4n, denoted by ΩQ4n , is a graph with the vertices are elements of Q4n and the edges are formed by two elements that have coprime order. The first result of this paper presents that ΩQ4n is a tripartite graph for n is an odd prime and ΩQ4n is a star graph for n is a power of 2. The second one presents the connectivity indices of ΩQ4n . Connectivity indices of a graph is a research area in mathematics that popularly applied in chemistry. There are six indices that are presented in this paper, those are first Zagreb index, second Zagreb index, Wiener index, hyper-Wiener index, Harary index, and Szeged index.

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