Dr. Arvind Kumar Sinha

Department Department of Mathematics
Designation Professor
Educational Qualification Ph. D. (Mathematics), M. Phil. (Mathematics), M. Sc. (Mathematics),
E-Mail aksinha.maths@nitrr.ac.in
Contact Number 9300685809
Areas of Interest

Algebra, Rough and Fuzzy Set Theory, Mathematical Biosciences, Integral Transforms, Wavelets, Mathematical Modelling, Disease Dynamics, Nonlinear Dynamics

Publications

H. Jain, A. K. Sinha (2024) : Analysis of quarantine norms and their healthcare benefits for Covid-19 , Communications in Computer and Information Science, Biomedical Engineering Science and Technology ICBEST 2023, First online published: 15 March 2024, Volume 2003, 256-269. (Springer)

A. K. Sinha, R. Sahoo (2023) : Introducin higher-order Haar wavelet method for solving three-dimensional partial differential equations, International Journal of Wavelet, Multiresolution and Information Processing, Online published on 31 August 2023. (World Scientific)

H. Jain, A. K. Sinha (2023): Modeling the effect of Wolbachia to control malaria transmission, Expert Systems With Applications, 221(1), 1-22. (Elsevier)

P. Shende, N. Namdev, A. K. Sinha (2023): Uncertainty Optimization Based Rough Set and Its Applications, Int. J. Appl. Comput. Math, 9(13), 1-26. (Springer)

A.  K. Sinha, P. Shende (2022): Uncertainty Optimization Based Feature Selection Model for Stock Marketing, Computational Economics (Springer), Published online 29 November 2022.

N. Namdev, H. Jain, A. K. Sinha (2022): Mathematical model of the tumor cells’ population growth, Network Modeling Analysis in Health Informatics and Bioinformatics (Springer), Published online 29 November 2022.

A. K. Sinha, P. Shende (2022): Uncertainty optimization-based rough set for incomplete information systems, Mathematics and Statistics, 10(4), 759-772.

N. Namdev,  P. Shende,  A. K. Sinha (2022):  Mathematical computation of the tumor growth, Network Modeling Analysis in Health Informatics and Bioinformatics, 11(27), 1-9. (Springer)

A. K. Sinha, P. Shende, N. Namdev (2022):  Uncertainty optimization based feature subset selection model using rough set and uncertainty theory, International Journal of Information Technology, 14(5), 2723-2739. (Springer)

P. Shende, A. K. Sinha (2022): Uncertainty optimization based approach to data engineering, Proceedings of the third International Conference on Frontiers in Industrial and Applied Mathematics,  AIP Proc. 2435, 020021-1–020021-7; 1-7.

A. K. Sinha, S. Panda (2022):  The ARA transform in quantum calculus and its applications, Bollettino dell’Unione Matematica Italiana, 15, 451–464. (Springer)

A. K. Sinha, S. Panda (2022): Shehu transform in Quantum calculus and its applications, Int. J. Appl. Comput. Math, 8(1), 1-19. (Springer)

A. K. Sinha, N. Namdev, P. Shende (2022): Mathematical modeling of the outbreak of COVID-19, Network Modeling Analysis in Health Informatics and Bioinformatics, 11(1), 1-19. (Springer)

A. K. Sinha, H. Jain, N. Namdev (2021): Fight against the corona-virus pandemic under bio-informatics and surveillance using Rough set method in Chhattisgarh, Journal High Technology Letters, 27 (10), 180-189.

A. Kilicman, A. K. Sinha and S. Panda (2021):  On a system of q-modified Laplace transform and it’s applications, Mathematical Methods in the Applied Sciences, 45(2), 793-808. (Wiley)

P. Shende, A. K. Sinha (2021): A novel concept of uncertainty optimization based multi-granular rough set and its applications, Mathematics and Statistics, 9(4), 608-616.

N. Namdev, A. K. Sinha (2021): Prediction of the supportive vaccine type of the Covid- 19 for the public helth, Journal of Mathematical and Computational Science, 11(5), 5703- 5719.                     

A. K. Sinha, R. Sahoo (2021): Riesz and Tight wavelet frame sets in locally compact abelian groups, KYUNGPOOK Math. Journal, 61, 371-381.

A. K. Sinha, S. Panda (2021): Three dimensional fractional Fourier-Mellin transform, and its applications, Mathematics and Statistics, 9(4), 465-480.

A. K. Sinha, R. Sahoo (2021): Numerical study of partial differential equations by an adaptive diffusion wavelet method, Int. J. Appl. Comput. Math, 7(3), 1-34. (Springer)

A. K. Sinha, R. Sahoo (2021):  Wavelet frames and time frequency localization in locally compact abelian groups, Adv. Math. Sci. Journal, 10(4), 2033-2044.

A. K. Sinha, N. Namdev (2021): The analysis of the outbreak of COVID-19 in a regional contest, Journal High Technology Letters, 27 (4), 294-303. 

A. K. Sinha, N. Namdev (2021): A mathematical model of tumor growth in human body with the rough set, Science and Technology Asia (Thai Journal), 26(1), 30-38.

P. Shende, A. K. Sinha (2020): Effective customer classification using rough set Theory, International Journal of Advanced Research in Engineering and Technology, 11(11), 2221-2228.

S. K. Sahoo, N. Panigrahi, D. Mahapatra, A Panda, A. K. Sinha (2020): Temporal modeling  on-street parking data for Ddetection of parking violation in smart cities, Advances in Intelligent Systems and Computing, 1176, 265 – 272. (Springer)

N. Namdev, A. K. Sinha (2020):  Mathematical analysis for the prediction of tumors, International Journal of Advanced Research in Engineering and Technology, 11(8), 644-652.

A. K. Sinha, R. Sahoo (2020):  Second-formulation adaptive wavelet optimization technique applicable in material sciences, IOP Conf. Series: Materials Science and Engineering, 798.

A. K. Sinha, P. Shende (2020):  An efficient way of material classification using uncertainty assessment, IOP Series: Materials Science and Engineering, 798.

A. K. Sinha, N. Namdev (2020): Computational approach of tumor growth in human body with a significant technique the rough set, IOP Series: Materials Science and Engineering, 798.

A. K. Sinha, S. Panda (2020):  Three dimensional natural transform and its applications, IOP Series: Materials Science and Engineering, 798. 

A. K. Sinha, N. Namdev (2020): Feature selection and pattern recognition for different types of skin disease in human body using the rough set method, Network Modeling Analysis in Health Informatics and Bioinformatics, 9(1), 01-11. (Springer)

A. K. Sinha, N. Namdev, A. Kumar (2020): A mathematical model of adiponectin resistance, Journal of Theoretical Biology, 494, 01-19. (ELSEVIER)

A. K. Sinha, N. Namdev (2020): Mathematical modeling of lung cancer using rough sets, International Journal of Advanced Research in Engineering and Technology, 11(3), 01-09.

A. K. Sinha, N. Namdev,  A. Kumar (2018): Rough set method accurately predicts unknown class family and validates the prediction of target protein of  Leishmania donovani membrane proteome, Mathematical Biosciences, 301, 37-49. (ELSEVIER),

A. K. Sinha, P. Singh, A. Prakash, D. Pal, A. Dube, A. Kumar (2017): Putative drug and vaccine target identification in Leishmania donovani membrane Proteins using Naïve Bayes probabilistic classifier, IEEE/ACM Transactions on Computational Biology and Bioinformatics, 14(1), 204-211.

A. K. Sinha (2016): On locally multiplication and locally co-multiplication modules, International Journal of Innovative Research in Science, Engineering and Technology, 5(8), 14811-14813.

A. K. Sinha, A. Prakash (2016):  Ideals of a ring based on rough Sets, Acta Ciencica Indica, XLII (1), 35-38.

A. K. Sinha, A. Prakash (2016): Rough exact sequences of modules, International Journal of Applied Engineering Research, 11(4), 2513-2517.

A. K. Sinha, D. Sasmal (2016): Some remarks on prime submodules in weak co-multiplication modules, International Journal of Engineering Research and Applications, 6(2), 110-114.

A. K. Sinha, A. Prakash (2015): On rough projective and injective Modules, Global Journal of Pure and Applied Mathematics, 11(5) , 3655-3664.

A. K. Sinha, M. K. Dewangan (2015): Interval valued intuitionistic (alpha, beta) - fuzzy Hv- ideals, Global Journal of Pure and Applied Mathematics, 11( ), 3361-3370.

A. K. Sinha, M. K. Dewangan (2015): On interval valued intuitionistic (S, T)- fuzzy Hv –subgroups, International Journal of Applied Engineering Research , 10(16), 36474-36478.

A.K. Sinha, M. K. Dewangan (2015): On interval valued intuitionistic (α, β)-fuzzy Hv-subgroups, International Journal of Research in Advent Technology, 3(10), 54-59.

A. K. Sinha, D. Sasmal (2015): On prime submodules in weak multiplication modules, International Journal of Engineering Sciences & Research Technology, 4(9), 256-259.

A. K. Sinha, M. K. Dewangan (2015): On interval valued intuitionistic (alpha, beta)-fuzzy Hv-submodules, International Journal of Engineering Sciences & Research Technology, 4(7), 333-341.

A. K. Sinha, A. Prakash (2015): Injective module based on rough set theory, Cogent Mathematics, 1(2), 1-7. (Taylor & Francis)

A. K. Sinha (2015): Some results on weak co-multiplication modules, International Journal of Advanced Technology in Engineering and Science, 3(6), Issue 06, 282-284.

A. K. Sinha, M. K. Dewangan (2015): Some results on interval valued intuitionistic (S , T)-fuzzy Hv –submodules, International Journal of Engineering Research, 3(3), 622-631.

A. K. Sinha, A. Prakash (2015): Rough projective module, International Journal of Material Science and Engineering, 2(1), 35-38.

A. K. Sinha, M. K. Dewangan (2015): Fuzzy Hv-submodules in Γ-Hv-modules, International Journal of Engineering Research & Science, 1(1), 34-40.

A. K. Sinha, V. Gedam, A. Pansari and B. K. Sahoo (2015): The effect of macroscopic polarization on intrinsic and extrinsic thermal conductivities of AIN, Journal of Physics and Chemistry of Solids, 78(3), 59-64. (ELSEVIER)

A. K. Sinha, M. K. Dewangan (2015): On intuitionistic (S , T) fuzzy Hv-ideals,  International Journal for Research in Emerging Science and Technology, 2(3), Issue 3, 22-27.

A. K. Sinha (2015): Some results on weak multiplication modules, International Journal of Innovative Research in Technology & Science, 3(2), 43-45.

A. K. Sinha, M. K. Dewangan (2015): On interval valued intuitionistic (S, T) fuzzy Hv ideals, International Journal of Scientific Research in Science, Engineering and Technology, 1(2), 43-48.

A. K. Sinha, M. K. Dewangan (2015): Interval valued (alpha, beta) -fuzzy Hv -ideals of  Hv rings, Global Journal of Advanced Engineering Technologies and Sciences, 2(1), 1-11.

A. K. Sinha, A. Prakash (2014): Roughness in free module, Proc, of the 1st International Conference on Rough Sets and Knowledge Technologies, 19-22. (ELSEVIER)

A. K. Sinha, A. Prakash (2014): Rough projective module, Proc. of the Second Intl. Conf. on Advances in Applied Science and Environmental Engineering, Institute of Research Engineers and Doctors USA, 35-38.

A. K. Sinha, M. K. Dewangan (2014): On (alpha, beta) - Fuzzy Hv-submodules of Hv-modules, International Journal of Engineering Research and Management , 1(9), 196-200

A. K. Sinha, B. Barik (2014): Weakly pure and weakly co-pure submodule of multiplication modules, International Journal. of Innovative Research in Science, Engineering and Technology, 3(10), 16649- 16653.

A. K. Sinha, M. K. Dewangan (2014): Intuitionistic fuzzy Hv-subgroups, International Journal of Advanced Engineering Research and Science, 1(3), Issue 3, 30-37. 

A. K. Sinha, M. K. Dewangan (2014): Intuitionistic (α , β) Ffuzzy H -fuzzy Hv---ideals,  International Journal of Computer Science and Network, 100-105

A. K. Sinha, B. Barik (2014): On weakly pure submodules of multiplication modules, International Journal of Research in Advent Technology, 2(5), 377- 378.

A. K. Sinha, M. K. Dewangan (2014): On intuitionistic (S, T) - fuzzy Hv-subgroups, European International Journal of Applied Science and Technology, 1(2), 19-24.

A. K. Sinha, M. K. Dewangan (2014): Some results on intuitionistic fuzzy Hv-subgroups, International Journal of Research in Advent Technology, 2(2), 308-312.

A. K. Sinha, M. K. Dewangan (2014): Intuitionistic (α, β) - fuzzy Hv-subgroups, International Journal of Engineering Sciences & Research Technology, 3(2), 914-918.

A. K. Sinha, M. K. Dewangan (2013): Isomorphism theorems for fuzzy submodules of G-modules, International Journal of Engineering Research and Applications, 3(4), 852-854. 

A. K. Sinha (2013): Application of module structure of algebra in coding theory in different branches of engineering, International Journal of Scientific Engineering and Technology, 2(4), 295-297.

A. K. Sinha (2012): On some dual concepts in modules, International Journal of Advance Mathematics and Mathematical Sciences, 1(1), Issue 1, 25-30

A. K. Sinha (2012): Small M- pseudo projective modules, American Journal of Mathematics and Mathematical Science, 1(1), 9-13.

A. K. Sinha, A, S. Ranadive (2002):  Pure M-injective modules, Vikram Mathematical Journal, 22 36-40.

A. K. Sinha, A. S. Ranadive, S. P. Singh (2002): On M-generator and M-cogenerator, Varahmihir Journal of Mathematical Sciences, 2(1), 181-190.

A. K. Sinha, A. S. Ranadive, S. P. Singh (2001): Corrigendum to a necessary and sufficient condition for quasi- projectivity and quasi injectivity, Journal of International Acad. of Physical. Sciences, 5, 55- 61.

A. K. Sinha, A. S. Ranadive, S. P. Singh (2001): A necessary condition for M-projectivity and  M-injectivity, Proceeding of Mathematical Society, 17, 109-114.

Other Info.

Reviewer of the Journals: 

1. Cogent Mathematics and Statistics - Taylor and Francis

2. Computers in Biology and Medicine - Elsevier

3. Network Modeling Analysis in Health Informatics and Bioinformatics - Springer

4. Research in Mathematics -Taylor and Francis

5. Hacettepe Journal of Mathematics & Statistics

6. BMC Medicine - Springer

7. Computational Economics - Springer

8. International Journal of Wavelets, Multi-resolution and Information Processing -World Scientific

9. Symmetry

10. Sustainability

11. Sensors

12. Heliyon

13. Forecasting

14. The European Physical Journal Plus - Springer

15. Applied Mathematics- A Journal of Chinese Universities- Springer

16. Multidisciplinary Science Journal 

17. Engineering Analysis with Boundary Elements (Elsevier)

 

Ph. D.’s produced: [06 Awarded]

  1. Manoj Kumar Dewangan  “A study of fuzzy aspects of algebraic hyper-structures”
  2. Anand Prakash “A study of rough aspects of algebraic structures”
  3. Nishant Namdev “Applications of rough sets in bioscience: A mathematical approach”
  4. Srikumar Panda “On some generalized integral transforms and its applications”
  5. Radhakrushna Sahoo “Wavelet aspects of algebraic structures”
  6. Pradeep Shende “Rough set theory in the perspective of uncertainty assessment”

 

Ph. D.’s Ongoing: 04

  1. Himanshu Jain
  2. Kaushal Soni
  3. Sunil Kanhaiyalal Kushavaha
  4. Ambika

 

Sponsored Projects:

  1. Research project entitled “A study of dual concepts in modules in algebra” is completed from CGCOST Raipur of Rupees five lacks, (Principal Investigator: Dr. Arvind Kumar Sinha, Associate Professor, Department of Mathematics, NIT Raipur) for three years.
  2. Research project entitled “Fight against the corona virus pandemic using mathematical modeling under bioinformatics and surveillance” is completed from CGCOST Raipur of Rupees 1.25 Lacks (Principal Investigator: Dr. Arvind Kumar Sinha, Associate Professor, Department of Mathematics, NIT Raipur) for one year.
  3. Research project entitled “On street parking data analysis using statistical approach for detection of parking violation” is completed from National Project Implementation Unit NPIU of Rupees 4.02 Lacks as co-principal investigator Dr. Arvind Kumar Sinha, Associate Professor, Department of Mathematics, NIT Raipur for one year.

 

 

National Level Short Term Training Program (STTP) Organized (as a Coordinator & Convener):

  1. Conducted a one week National Level Short Term Training Program (STTP) as a Principal Coordinator on “A Glimpse of Differential Equations in Science and Engineering” organized by Department of Mathematics, NIT Raipur from 10 March 2014 to 14 March 2014 in NIT Raipur
  2. Conducted a one week National Level Short Term Training Program (STTP) as a Principal Coordinator on “Mathematical Modeling  in Science and Engineering” organized by Department of Mathematics, NIT Raipur from 02 July 2014 to 06 July 2014 in NIT Raipur
  3. Conducted a one week National Level Short Term Training Program (STTP) as a Coordinator on “Mathematical Modeling and Computational Techniques in Science and Engineering” under TEQIP during March 14-18, 2016 organized by Department of Mathematics NIT Raipur
  4. Conducted a one week National Level Short Term Training Program (STTP) as a Convener on “Probability and Statistics with Applications in Science and Engineering” under TEQIP during August 17-21, 2016 organized by Department of Mathematics NIT Raipur
  5. Conducted a one week National Level Short Term Training Program (STTP) as a Convener on “Applied mathematics using Python through hand-on experience” during February 10-14, 2020 organized by Department of Mathematics NIT Raipur
  6. Conducted a one week National Level Short Term Training Program (STTP) as a Coordinator on “Data science with statistical methods using R programming: contributions and developments” during September 21-25, 2021 organized by Department of Mathematics, NIT Raipur

 

National Level Conferences Organized (as a Chairman  & Secretary):

  1. Application of Mathematics in science and engineering as Secretary commencing date 21/01/2018 in NIT Raipur
  2. Recent trends in applied and computational mathematics as Chairman commencing date 20/07/2019 in NIT Raipur
  3. Mathematical modeling methods and computation in science and engineering as Chairman commencing date 19/10/2019 in NIT Raipur

Seminars/Workshops/Conferences Attended/ Paper Presented:

  1. Participated and Paper presented in Seventeenth International Conference of Mathematical Society, Banaras Hindu University Varanasi from Dec 21- 22, 2001 on the topic “A Necessary Condition for M-projectivity and M-injectivity.
  2. Participated and Paper presented a paper for Young Scientist Award in the Fifth International Conference of the CONIAPS, International Academy of Physical Sciences Hosted by Department of Mathematical Sciences and Computer Applications Bundelkhand University Jhansi from April 07 to 09, 2002. I was awarded Young Scientist for best paper and paper presentation on “Corrigendum to a Necessary and Sufficient Condition for Quasi-projectivity and Quasi- injectivity” in this conference.
  3. Participated in the Symposium on Teaching and Learning Orientation for Engineering Teachers from 16th to 19th November 2005 organized by National Institute of Technology, Raipur (Formerly Government Engineering College Raipur).
  4. Participated in the 9th International Conference of the CONIAPS, International Academy of Physical Sciences Organized by Department of Mathematical Sciences, Institute of Basic Science, Khandari, Agra (U. P.) from February 03 to 05, 2007 delivered a lecture on the topic “On some dual concepts in modules”.
  5. Participated in the Program - Induction Training Program (Staff Development    Program) at National Institute of Technology Raipur from 08.06.2009 to 20.06.2009 organized by National Institute of Technical Teachers Training and Research , Bhopal (NITTTR Bhopal) (ISO9001: 2000 Certified)
  6. Participated in the International Workshop on Advanced Material Science and Astrophysics (Simulation and Mathematical Modeling) from 19.02.2012 to 21.02.2012 Organized by Pt. Ravishankar Shukla University, Raipur, Chhattisgarh, India andMichigan Technological University, Houghton, USA.
  7. Participated and Paper presented in Ninth National Conference organized by Indian Society of Mathematics and Mathematical Sciences (ISMAMS) on the topic Interdisciplinary Applications of Mathematical and Statistical Techniques Sponsored byDST from 25.02.2012 to 26.02.2012 at Gorakhpur (U. P.) and presented a paper on “Small M-pseudo Projective Modules”.
  8. Participated in the Induction Training Program on Value Education for Teachers of  NIT Raipur from 09 March 2012 to 14 March 2012 at NIT Raipur organized by NIT Raipur  and Center for Education in Universal values Raipur.
  9. Participated in the Short Term Course on Waste Treatment and Cleaner Technologies from 28 May 2012 to 1 June 2012 at NIT Raipur organized by Department of Chemical Engineering, NIT Raipur.
  10. Participated in One Week Refresher Course on Finite Element Method from  18 June 2012 to 22 June 2012 at NIT Raipur organized by Department of Mechanical Engineering,  NIT Raipur.
  11. Participated in the National Workshop on Application of Mathematics in Different Field of science from 12 October 2012 to 14 October 2012 organized by the Department of Mathematics,  Govt. Nagarjuna P. G. College of Science, Raipur.
  12. Participated in the National Seminar on The Rich Heritage of Mathematics in India (NSRHMI- 12) from 26 October 2012 to 27 October 2012 organized by Department of Mathematics, Govt. V. Y. T. P. G. Autonomous College, Durg.
  13. Participated in the National Workshop on Fuzzy Sets and Its Application and General Mathematics from 17 January 2013 to 19 January 2013 organized by Department of Mathematics, Govt J. Y. Chhatisgarh College , Raipur.
  14. Participated in the One day Workshop on Deployment and Collaboration of Analytical Reports & Models on 1 February 2013 organized by NIT Raipur.
  15. Participated in the One day Workshop on Mathematical Modeling, Chemo informatics and Quantum Chemistry on 19 February 2013 organized by Department of Electronics & Telecommunication & Central Computing Center, NIT Raipur.

Achievements:

1. Got the Young Scientist Award in 2002 from Indian Academy of Physical Sciences (IAPS) for best paper in Mathematics

 2. First Position in the Merit list of M. Sc. (Mathematics) in 1995 batch of Government Auto. Sc. P. G.  College Bilaspur (C. G.)

3. 56th Position in M. P. Board in class 10th 

 4. National Scholarship being merit holder in High School

5. B.  Certificate of National Service Scheme (N. S.  S.)

Membership of Professional Bodies:

  1. Life member of Indian Mathematical Society (IMS) : Life Membership Number:  L / 2011 / 64
  2. Life member of Indian  Society of Mathematics and Mathematical Sciences (ISMAMS) :2011 Life Membership Number : LM/300
  3. Member in International Mathematical Union (IMU) – Electronic World Directory of Mathematicians (EWDM)-2010
  4. Life Member of International Academy of Physical Sciences (IAPS) - 2012 Life Membership Number: N 12180
  5. Life Member of The Indian Science Congress Association (ISCA) – 2012 Life Membership Number: L 19446
  6. Life member of Ramanujan Mathematical Society (RMS) -2012 Life Membership Number: 776

Other Information’s:

M. Sc. in Mathematics program has been introduced under my Headship. 

Member of Anti Ragging Committee in NIT Raipur

Worked as Registration in-Charge in admission Process 2010 CCB AIEEE 2010 and 2011 CCB AIEEE 2011 in NIT Raipur

Chairman , New Syllabus Committee CBCS scheme, Formation of New Syllabus of B. Tech/ MCA in NIT Raipur in 2010

Member of Departmental Review Committee (Mathematics) in NIT Raipur

Member DRC (Departmental Research Committee) of Mathematics in NIT Raipur

Member DGC (Doctoral Guidance Committee) of Mathematics in NIT Raipur

 

Department level works: 1. Worked as Head of the Department, NIT Raipur for more than 7.5 years 2. Worked as Departmental TEQIP Coordinator for 3 years  3. Departmental Academic Committee 4. Departmental Purchase Committee  5. Departmental Right off /Disposal Committee  6. Chairman , Ph. D. Admission Committee 

 

Institute level works: 1. Working as superintendent examination, NIT Raipur  2. Member Anti ragging committee  3. Conducted Examination of supplementary exam for all branches of B. Tech Students of 1st and 2nd semesters 4. Student Induction Program, 5. Member of Innovation Club  6. Worked as member of Raj-Bhasha (Hindi) execution committee in NIT Raipur  7. Worked as Professor In charge B. Tech 1 year K, L, M Sections  8. Member, Library Purchase Committee, NIT Raipur 9. Admission process of 1st Semesters B. Tech. Students