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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI Al-Khwarizmi: Jurnal Pendidikan Matematika dan Ilmu Pengetahuan Alam JATI EMAS (Jurnal Aplikasi Teknik dan Pengabdian Masyarakat)
Jusmawati Massalesse
Departemen Matematika, Universitas Hasanuddin, Makassar, Indonesia
Humanities Education Engineering Mathematics Public Health Other

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Journal : JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI

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Riemann Integral Construction Of A Sequence Of Functions In A Normed Space (l^p,‖∙‖_p ) Aswad Hariri Mangalaeng; Naimah Aris; Jusmawati Massalesse
Jurnal Matematika, Statistika dan Komputasi Vol. 16 No. 3 (2020): JMSK, MAY, 2020
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (561.082 KB) | DOI: 10.20956/jmsk.v16i3.8314

Abstract

We construct Riemann Integral for a sequence in a normed space (l^p,‖∙‖_p ). To do construction, we used some theories of real analysis and functional analysis, include some real sequences theories, some Riemann integral theory for functions in R, and some norm theories in a normed space (l^p,‖∙‖_p ). In this paper, we otained that a sequence of functions f=(f_k ):[a,b]⊂R→l^p qualify that the sequence is Riemann integrable on [a,b]⊂R.
Forecasting Inflation In Indonesia Using The Modified Fuzzy Time Series Cheng Indi Ria Al Kadry; Jusmawati Massalesse; Muh. Nur
Jurnal Matematika, Statistika dan Komputasi Vol. 19 No. 1 (2022): SEPTEMBER, 2022
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v19i1.21868

Abstract

Inflation is one of the most important indicators to analyze a country’s economy. Therefore, it is necessary to forecast the inflation rate. Forecasting can be done by various methods, one of which is Fuzzy Time Series Cheng. In this study, several modifications were made to the method used. The purpose of this study is to forecast using the Modified Fuzzy Time Series (FTS) Cheng method and determine the accuracy of the forecasting results obtained. The results of this study indicate that the Modified FTS Cheng method can be used in forecasting, either by determining the interval average-based or using the Sturges equation. Based on the results of the calculation of forecasting accuracy using Mean Absolute Percentage Error (MAPE), the accuracy for Modified FTS Cheng by determining the average-based interval for forecasting based on the current state and next state is 11.58% and 5.78%, respectively. Furthermore, the Modified FTS Cheng by determining the interval using the Sturges equation resulted in a MAPE value of 9.61% and a FTS Cheng of 7.54%. The MAPE value of each method is less than 10%, which means that the method has a very good performance, except for Modified FTS Cheng by determining the average-based interval for forecasting based on current state has good performance with MAPE values ​​between 10 % and 20%.  
r-Chromatic Number On r-Dynamic Vertex Coloring of Comb Graph Heryati Nur Fatimah Sari; Budi Nurwahyu; Jusmawati Massalesse
Jurnal Matematika, Statistika dan Komputasi Vol. 20 No. 2 (2024): JANUARY 2024
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v20i2.32143

Abstract

Let  be a graph with vertex set  and edge set . An r-dynamic vertex coloring of a graph  is a assigning colors to the vertices of  such that for every vertex  receives at least  colors in its neighbors. The minimum color used in r-dynamic vertex coloring of graph  is called the r-dynamic chromatic number denoted as . In this research we well determine the coloring pattern and the r-dynamic chromatic number of the comb graph , central graph of comb graph , middle graph of comb graph , line graph of comb graph , sub-division graf of comb graph , and para-line graph of comb graph Let  be a graph with vertex set  and edge set . An r-dynamic vertex coloring of a graph  is a assigning colors to the vertices of  such that for every vertex  receives at least  colors in its neighbors. The minimum color used in r-dynamic vertex coloring of graph  is called the r-dynamic chromatic number denoted as . In this research we well determine the coloring pattern and the r-dynamic chromatic number of the comb graph , central graph of comb graph , middle graph of comb graph , line graph of comb graph , sub-division graf of comb graph , and para-line graph of comb graph 
Partition Dimension of the Sum Product of Complete Graph K_1 and Saw Graph GR_n Jusmawati Massalesse; Dermawan Saputra; Naimah Aris
Jurnal Matematika, Statistika dan Komputasi Vol. 21 No. 2 (2025): JANUARY 2025
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v21i2.32376

Abstract

Let   and  let denote the distance between dan . The distance of  to a subset  is denote by  where  Furthermore, suppose   is an ordered partition with  for  then the representation of a vertex  with respect to  is the ordered k-tuple dinoted by . The partition  is called a distinguishing partition of  if  for every .   A distinguishing partition of  with the smallest cardinality is called the minimum distinguishing partition of , and its cardinality is called the partition dimension of . The purpose of this study is to determine the partition dimension of the join graph  and . By applying the concepts of equivalent vertices and vertices of the same level, it is shown that the partition dimension of the graph  is  where  is a natural number.
Co-Authors A.A. Ketut Agung Cahyawan W Afifah Afifah Ainun Mawaddah Abdal Alfiana Wahyuni Amir Kamal Amir Andi Kresna Jaya Anisa Anisa Anisa Anisa Anna Islamiyati Anna Islamiyati Aswad Hariri Mangalaeng Azis, Moh. Ivan Budi Nurwahyu Dermawan Saputra Edy Saputra Rusdi Faisal Faisal Firman Firman Haryanto, Loeky Hasmawati Basir Heryati Nur Fatimah Sari I Gusti Agung Komang Diafari Djuni Hartawan Indi Ria Al Kadry Irma Andriani Islamiyah Abbas Jaya, A. Kresna Kasbawati Kasbawati Khaeruddin Khaeruddin Mahie, Andi Galsan Muh. Ali Imran Muh. Nur Muh. Nur Muralia Hustim Naimah Aris Naimah Aris Naimah Aris Naimah Aris Naimah Aris Najhah Aris Nasrah Sirajang Nur Erawaty Nur Erawaty Nurdin Nurdin Okta Nofri Ramadhan, Muh. Nur Bahri Raupong, Raupong Raupong, Raupong Sahriman, Sitti Sirajang, Nasrah Sitti Sahriman Sri Astuti Thamrin Wahda, Wahda Wahyuni, Alfiana