Volume-11 , Issue-2 , Apr 2024, ISSN 2348-4519 (Online)

• Open Access   Article

  Estimating truck queue length at Nigeria seaport: State-Dependent Approximation Model

  Akpudo Chijioke Udechukwu, Nwachukwu Tochi Clement

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.11 , Issue.2 , pp.1-5, Apr-2024

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  Abstract
  The aim of the study is to estimate the truck queue length calling at Nigeria seaport with a focus to determine the queue formation state and queue dispersion using State-Dependent Approximation Model. To do this, trucks traffic for calling truck at the Apapa complex ports was examined for a period of seven days starting from 12:01 midnight to 12:00 on each day. At the end of the assessment period, five thousand one hundred and two (5102) trucks were recorded and used for analysis. The data of the study was sorted and analyzed using Microsoft Excel analytical software. The regression result analysis for queue formation state show that it took less an hour for queue to reach its steady-state i.e. critical point for queue formation process shows a value of 0.6. The result on queue dispersion state show that it took a truck several hours to truck to dispersed or leave the gate with critical point of queue dispersion state shows a value of 40.16. the study recommended that Nigeria port authority need to implement gate appointment system (GAS) method of the management of truck arrival into the port in order to reduce the waiting time of truck (dispersion state) in Nigeria seaport.

  Key-Words / Index Term
  State-Dependent Approximation Model, Arrive time, formation state, dispersion state, Apapa port

  References
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  Citation
  Akpudo Chijioke Udechukwu, Nwachukwu Tochi Clement, "Estimating truck queue length at Nigeria seaport: State-Dependent Approximation Model," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.11, Issue.2, pp.1-5, 2024

• Open Access   Article

  Discovering The Properties, Applications and Factual Manifestations of The Fibonacci Series

  Isha Patil, Garima Singh, Pooja Sharma

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.11 , Issue.2 , pp.6-15, Apr-2024

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  Abstract
  The Fibonacci series is a sequence of numbers that has fascinated mathematicians, scientists, and artists for centuries due to its intriguing properties and wide-ranging applications across various fields. This research paper aims to delve into the origins, mathematical properties, and practical applications of the Fibonacci series. Beginning with an overview of its historical background, the paper progresses to examine its mathematical properties, recurrence relation, and closed-form expression. Furthermore, it explores diverse applications of the Fibonacci series in mathematics, computer science, nature, and art, highlighting its significance and versatility in real-world contexts. By consolidating information from various disciplines, this paper presents a comprehensive understanding of the Fibonacci series and its enduring relevance in modern society.

  Key-Words / Index Term
  Fibonacci, Golden Ratio, Encryption, Golden Spiral

  References
  [1] A. Grigas. "The Fibonacci Sequence Its History, Significance, and Manifestations in Nature", Liberty University, 2003
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  Citation
  Isha Patil, Garima Singh, Pooja Sharma, "Discovering The Properties, Applications and Factual Manifestations of The Fibonacci Series," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.11, Issue.2, pp.6-15, 2024

• Open Access   Article

  Comparison with JMP, SAS, EXCEL and SPSS of Simple LabVIEW Software that Randomizes and Applies T-Student to Population Samples

  Glomen Tovar

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.11 , Issue.2 , pp.16-25, Apr-2024

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  In the present study we tried to apply the student`s t-test for small samples, with LabVIEW software, which are compared against other programs that apply the same test such as JMP, Excel, SAS and SPSS. Considering the objective set forth in this study, as it is to provide postgraduate students and new researchers in their day to day, a simple, sufficient, fast and easy-to-apply instrument for their periodic investigations; a software was developed whose functionality allows randomizing samples, particularly for one sample (1S), two sample (2S) and related sample (RS);determining sample normality (Q-Q plots), differentiating variance homoscedasticity, calculating statistical variables such as: means, standard deviation, t-value, t-tabulated, p-value, F-calculated, F-tabulated, confidence intervals and generation of Excel-xls files; demonstrating that the labVIEW software tested in this work reveals, simplicity and easy operation with respect to the compared software, and whose efficiency was statistically verified by Pearson correlations (p<0.05) for the t value in all aspects ( one sample(1S) R =0,8517, two sample independent (2S) R =0,9986 and related sample (RS) R =0,6699).

  Key-Words / Index Term
  Randomized, samples, t-test, normality, t-value, Q-Q plot, software, LabVIEW.

  References
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  Citation
  Glomen Tovar, "Comparison with JMP, SAS, EXCEL and SPSS of Simple LabVIEW Software that Randomizes and Applies T-Student to Population Samples," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.11, Issue.2, pp.16-25, 2024

• Open Access   Article

  Remarks on strong ?^*-H-Open Set in GTS via Hereditary Class

  R. Shankar

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.11 , Issue.2 , pp.26-30, Apr-2024

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  Abstract
  The aim of this paper is to introduce and study the properties of strong ?^*-H-open sets. Also, we establish some of their properties and establish some characterization in a generalized topological space (X,?) with a hereditary class H. We discuss various characterization ?^*-H-open set are given and properties of such sets are discussed. Finally we investigate various definitions using ?^*-H-open sets in a generalized topological space (X,?) with a hereditary class H.

  Key-Words / Index Term
  Hereditary class, pre-H-open set, semi-H-open, ?-H-open set, ?^*-H-open set, weakly semi- H-open set and strong ?-H-open set.

  References
  [1] A. Csaszar, “Generalized Open Sets”, Acta Math. Hungar, vol. 75 issue 1-2, pp 65-87, 1997.
  [2] A.Csaszar, “Generalized topology, generalized continuity”, Acta Math. Hungar, vol. 96, pp 351-357, 2002.
  [3] A.Csaszar, “Modi?cations of generalized topologies via hereditary classes”, Acta Math. Hungar, vol. 115, pp 29 – 36, 2007.
  [4] A.Csaszar, “Remarks on quasi-topologies”, Acta Math. Hungar, vol.119 issue 1-2, pp 197 – 200, 2007.
  [5] V.Renukadevi and K. Karuppayi. “On modi?cations of generalized topologies via hereditary classes”, J. Adv. Res. Pure. Math., vol. 2, pp 14-20, 2010.
  [6] V.Renukadevi and Sheena Scaria. “On hereditary classes in generalized topological spaces”, J. Adv. Res. Pure. Math., vol. 3 issue 2, pp 21-30, 2011.
  [7] K.Karuppayi, “Some subsets of GTS with hereditary classes”, Journal of Advanced Studies in Topology, vol. 5, issue 1, pp 25-33, 2013.
  [8] V.Pankajam and D.Sivaraj, “Some separation axioms in GTS”, Bolo. Soc. Paran. Mat, vol. 31, issue 1, pp 29-42, 2013.
  [9] K.Karuppayi, “A Note on ?-H-sets in GTS with hereditary classes”, International Journal of Mathematical Archive, vol. 5, issue 1, pp 226-229, 2014.
  [10] K.Karuppayi, “A Note on RH-open sets in GTS with hereditary classes”, International Journal of Mathematical Archive, vol. 5 issue 1, pp 312-316, 2014.
  [11] V.Renukadevi and P.Vimaladevi, “Note on generalized topological space with hereditary classes”, Bolo. Soc. Paran. Mat, vol. 32, issue 1, pp 89-97, 2014.
  [12] V.Renukadevi and D.Sivaraj, “Weak separation axioms in GTS”, KYUNGPOOK Math, J, vol. 54, pp 387-399, 2014.
  [13] K.Karuppayi, “On decomposition of continuity and complete continuity with hereditary class”, J.Adv. Stud. Topology, vol. 5, pp 18-26, 2014.
  [14] A.P.Ponraj and D.Sivaraj, “Semi^*-H-open sets”, International Journal pure and applied mathematics, vol. 117, issue 17, pp 1-6, 2017.
  [15] R.Shankar, A.P. Ponraj and D. Sivaraj, “Weakly semi? H ?open sets and almost strong H???open sets”, International Journal of Pure and Applied Mathematics, vol. 117 issue 17, pp 7-13, 2017.
  [16] A.P.Ponraj, R. Shankar and D.Sivaraj, “H_R-closed set in generalized topological space”, International Journal of Pure and Applied Mathematics, vol. 119 issue 15, pp 2153-2158, 2018.
  [17] R. Shankar, A.P.Ponraj and D.Sivaraj, “A_HR-sets in generalized topological space”, International Journal of Pure and Applied Mathematics, vol. 119, issue 15, pp 2165-2170, 2018.
  [18] P. Montagantirud and S. Phonrakkhet, “Generalized quotient topologies and hereditary classes”, Acta Math. Hungar, vol. 161, pp 1-15, 2020.
  [19] R. Shankar and D. Sivaraj, “Strong ?-H-Open sets in Generalized Topological Space”, International Journal of Mathematics Trends and Technology, vol. 67 issue 7, pp 183-186, 2021.
  [20] R. Shankar and D. Sivaraj, “Semi-H-regular set and H_AB-sets in generalized topological space”, In the Proceedings of the AIP Conference 2516, pp 420002, 2022.

  Citation
  R. Shankar , "Remarks on strong ?^*-H-Open Set in GTS via Hereditary Class," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.11, Issue.2, pp.26-30, 2024

• Open Access   Article

  Some New Results, Structures and Operations on Soft Multigroup Theory

  N.E. Onoyima, A.I. Isah, Y. Tella

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.11 , Issue.2 , pp.31-39, Apr-2024

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  Abstract
  In this paper, we introduce the notion of commutators in soft mgroups, soft m-monoid, soft semi mgroup, soft mgroupoid, conjugate soft mgroups, and exemplify some important operations in soft mgroups. We show that the nth power of the union of two soft mgroups is the same as the union of nth power of each of the mgroups, that the root set of the union of two soft mgroups is closed under arithmetic power. We examine some algebraic properties of soft mgroups. We obtain some results on commutators in soft mgroups, normal soft mgroups and conjugate soft mgroups.

  Key-Words / Index Term
  soft sets, mgroups, soft msets, soft mgroups, regular soft mgroups, soft mmonoids, commutators in soft mgroup, soft normal submgroups, soft mgroupoids

  References
  [1] D. A. Molodtsov, “Soft set Theory, First Results” An international Journal of Computers and Mathematics with applications, Vol.37, pp.19-31, 1999.
  [2] L. A. Zadeh, “Fuzzy sets”. Information and Control, Vol.8, Issue 3, pp.338-353, 1965.
  [3] Z. Pawlak, “Rough Sets.” International Journal of Computer and Information Sciences, Vol.11, Issue.5, pp. 341-356, 1982.
  [4] K. T,.Atanassov, “Intuitionistic fuzzy sets” Fuzzy Sets and Systems, Vol. 20, Issue.1, pp.87-96, 1986.
  [5] D. Singh and A. I. Isah, “Mathematics of multisets: a unified approach”, Afrika Matematika, Springer, Vol.27 pp.1139–1146, 2016.
  [6] P.K. Maji, R. Biswas, A. R. Roy “ Fuzzy soft sets”. J. Fuzzy Math., Vol.9, pp.589–602, 2001.
  [7] H. Aktas, and N. Cagman, “Soft sets and soft groups”. Information Sciences, Vol.177, pp.2726– 2735, 2007.
  [8] S.K. Nazmul, S.K. Samanta “On soft mgroups” Annals of Fuzzy Mathematics and Informatics, pp.1- 20, 2015.
  [9] D. Knuth “The Art of Computer Programming” Volume 2, Seminumerical Algorithms, Second edition, Addison-Wesley, Reading, Massachusetts, 1981.
  [10] I. Osmanoglu, and D. Tokat, “Compact Soft Multi Spaces”, European Journal of Pure and Applied Mathematics, Vol.7, Issue 1 pp. 97-108, 2014.
  [11] S.K. Nazmul, P. Majunder, and S.K, Samanta. “On multisets and Multigroups”. Annal Fuzzy Maths. Inform, Vol.6, Issue.3, pp.643 – 656, 2013.
  [12] J.Regala Jebalily, G. Subbiah, V. Nagarajan “Algebraic Structures of Soft Sub Fields in View of Fuzzy Soft Environment” Int. J. Sci. Res. in Mathematical and Statistical Sciences Vol.6 Issue.5, pp.2348-4519, 2019.
  [13] F. Feng, C.X. Li, B. Davvaz, M. Irfan Ali, “Soft sets combined with fuzzy sets and rough sets: a tentative approach” Soft Comput. Vol.14, pp.899–911, 2010.

  Citation
  N.E. Onoyima, A.I. Isah, Y. Tella, "Some New Results, Structures and Operations on Soft Multigroup Theory," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.11, Issue.2, pp.31-39, 2024

• Open Access   Article

  Optimization of Washing Machine Performance Using Fuzzy Logic Control: A Theoritical Framework

  Anjali Chouhan, Garima Singh, Payal Shrivastava

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.11 , Issue.2 , pp.40-45, Apr-2024

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  Abstract
  The washing machine stands as an essential appliance in every household, addressing a fundamental need for cleanliness and convenience. This paper delves into the key operational factors of washing machines, particularly focusing on fuzzy logic control. We aim to explore how fuzzy logic enhances washing machine efficiency and how it can be further optimized for future applications. By dissecting the role of fuzzy logic in washing machines, this paper seeks to elucidate its benefits and potential for improvement. This research is based on fuzzy logic`s impact on washing machine performance, ultimately striving for enhanced efficacy and utility in our daily lives. By comprehending the intricate interplay between fuzzy logic and washing machine dynamics, we endeavour to unlock their full potential, paving the way for a future where washing machines are not just appliances, but indispensable allies in our daily lives.

  Key-Words / Index Term
  Fuzzy Logic, Fuzzy Logic Control, Linguistic Control, Optimization, Fuzzification, Defuzzification

  References
  [1] Agarwal M., “Fuzzy logic control of washing machines,” Institute of Technology, India, pp:1-5, 2016.
  [2] Dash, Sanjit Kumar, Gouravmoy Mohanty, and Abhishek Mohanty, "Intelligent air conditioning system using fuzzy logic," International Journal of Scientific & Engineering Research, India, pp: 1-6, 2012.
  [3] Hayward, G. and Davidson V., “Fuzzy logic applications,” Analyst, Canada, pp: 1304-1306, 2003.
  [4] Kumar, M., Misra, L. and Shekhar, G., “A survey in fuzzy logic: an introduction,” Int. J. Sci. Res. Dev, Vol.3, Issue.4, pp: 822-824, 2015.
  [5] L. B. Bhajantri, “Fuzzy Logic Based Fault Detection in Distributed Sensor Networks,” International Journal of Scientific Research in Computer Science and Engineering, Vol.6, Issue.2, pp: 27-32, 2018.
  [6] M.A. Islam, M.S. Hossain, I.S.M. Haque, “Mathematical Comparison of Defuzzification of Fuzzy Logic Controller for Intelligence Air Conditioning System,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.8, Issue.2, pp: 29-37, 2021.
  [7] Makkar, Renu, "Application of fuzzy logic: A literature review," Int. J. Stat. Appl. Math, India, pp: 357-359, 2018.
  [8] Pirovano, Michele, "The use of fuzzy logic for artificial intelligence in games," University of Milano, Italy, 2012.
  [9] Raja, K., and S. Ramathilagam, "Fuzzy logic control system of washing machine using Python," Malaya Journal of Matematik, India, pp: 476-479, 2021.
  [10] Sachdeva, Kavita, Madasu Hanmandlu, and Amioy Kumar, "Real life applications of fuzzy decision tree," International Journal of Computer Applications, India, pp:24-28, 2012.
  [11] Zadeh, L.A., “Fuzzy sets,” Information and control, Vol.8, Issue.3, pp.338-353, 1965.

  Citation
  Anjali Chouhan, Garima Singh, Payal Shrivastava, "Optimization of Washing Machine Performance Using Fuzzy Logic Control: A Theoritical Framework," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.11, Issue.2, pp.40-45, 2024

• Open Access   Article

  Economic Impact of Lassa Fever on Biological, Environmental and Hygienic Factors in Bauchi State

  Idris Babaji Muhammad, Isah Abdullahi, Adamu Garba Tahiru, Ali Musa

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.11 , Issue.2 , pp.46-50, Apr-2024

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  Abstract
  Lassa fever, a viral haemorrhagic illness, imposes a considerable economic burden on regions it affects due to its influence on biological, environmental, and hygienic aspects. The economic ramifications of Lassa fever are varied, impacting both individuals and communities. Biologically, the disease can result in severe illness and fatalities, causing reduced productivity and income loss among affected individuals. Additionally, it may lead to long-term health issues, further stressing healthcare systems and escalating healthcare expenditures. Moreover, Lassa fever can disrupt agricultural operations and food production, causing food scarcity and inflated prices. This can trigger a ripple effect on the economy, as food insecurity may lead to malnutrition and decreased productivity. The research investigates the complex economic repercussions of the disease on the afflicted community in Bauchi. The study population comprises the residents of Bauchi state, estimated at 8,308,300 individuals in 2022, with a sample of 400 selected using the Yamane method. The sampling process involved stratification based on senatorial districts, and two Local Governments from each zone were non-probabilistically sampled, with an equal allocation of respondents across the selected frame. Data collection employed a structured and closed-ended questionnaire, which was designed and validated (Cronbach’s Alpha = 0.81). The findings emphasize the significant and multifaceted economic impact of Lassa fever on biological, environmental, and hygienic factors. Efforts to prevent and control the disease`s spread are crucial to mitigate its economic consequences and safeguard the health and well-being of affected populations. It is recommended to strengthen public health resources and infrastructure, as controlling the disease outbreak necessitates enhanced surveillance, testing, and treatment. This may result in increased healthcare expenses and diminished productivity as resources are redirected to combat the outbreak.

  Key-Words / Index Term
  Lassa Fever, Economic Impact, Biological, Environmental, Hygienic, Factors

  References
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  Citation
  Idris Babaji Muhammad, Isah Abdullahi, Adamu Garba Tahiru, Ali Musa, "Economic Impact of Lassa Fever on Biological, Environmental and Hygienic Factors in Bauchi State," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.11, Issue.2, pp.46-50, 2024

• Open Access   Article

  Heat Generation/Absorption Along With Suction/Injection Effects on Powell- Eyring Nanofluid Flow

  Abubakar Assidiq Hussaini

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.11 , Issue.2 , pp.51-60, Apr-2024

  Abstract

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  Abstract
  In this study we investigated the magnetohydrodynamic (MHD) boundary layer flow of Powell-Eyring nanofluid over a non-linear stretched surface of adjustable viscosity. We considered an electrically conducting fluid with magnetic field applied transverse to the surface. The mathematical expressions are obtained by the boundary layer approximation with the help of the non- dimensional quantities. The flow exploration is exposed to a newly conventional boundary conditions which require zero nanoparticles mass flux. Acceptable transformations were employed to reduce the partial differential equations to some ordinary differential equations. Solutions of the governing non- linear flow of momentum, temperature and nanoparticles concentration have been executed in maple. Visual analysis of pertinent parameters is dispersed by graphical illustrations and tabular values. It is investigated that higher values of the suction and injection parameter results in the increase of Sherwood number distribution, which on the other hand decreases the temperature of the fluid. Effects of heat generation/ absorption parameter on temperature and concentration profiles are qualitatively similar. Both the temperature and concentration profiles are enhanced for higher values of the fluid parameter.

  Key-Words / Index Term
  Heat generation/absorption, Powell- Eyring, Variable thickness surface, Suction/injection

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  Citation
  Abubakar Assidiq Hussaini, "Heat Generation/Absorption Along With Suction/Injection Effects on Powell- Eyring Nanofluid Flow," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.11, Issue.2, pp.51-60, 2024