Dr. Arvind Kumar Sinha

Department Department of Mathematics
Designation Associate Professor
Educational Qualification Ph. D. (Mathematics), M. Phil. (Mathematics), M. Sc. (Mathematics),
E-Mail aksinha.maths@nitrr.ac.in
Contact Number 09300685809
Areas of Interest

Algebra, Rough & Fuzzy Set Theory

Publications
  • A. K. Sinha, N. Namdev  and A. Kumar, Rough Set method accurately predicts unknown class/ family and validates the prediction of target protein of  Leishmania donovani membrane proteome, Mathematical Biosciences (ELSEVIER), Vol. 301, 2018, Page 37-49, online available from 06 April 2018 [ISSN: 0025-5564]
  •  A. K. Sinha, P. Singh, A. Prakash, D. Pal, A. Dube and A. Kumar, Putative Drug and Vaccine Target Identification in Leishmania donovani Membrane Proteins using Naïve Bayes Probabilistic Classifier, IEEE/ACM Transactions on Computational Biology and Bioinformatics, Vol. 14, No1, January/February 2017, Page. 204-211 [ISSN: 1545-5963]  
  • A. K. Sinha, On Locally Multiplication and Locally Co-multiplication Modules, International Journal of Innovative Research in Science, Engineering and Technology [ IJIRSET], Vol. 5, Issue 8, August 2016, Page. 14811-14813 [ISSN: 2319-8753]
  • A. K. Sinha and A. Prakash, Ideals of a ring based on Rough Sets, Acta Ciencica Indica, Vol. XLII (1) , July 2016, Page 35-38 [ ISSN: 0970-0455]
  • A. K. Sinha and A. Prakash, Rough Exact Sequences of Modules, International Journal of Applied Engineering Research (IJAER), Vol. 11, Issue 4, 2016, Page 2513-2517 [ISSN: 0973-4562] 
  • A. K. Sinha and D. Sasmal, Some Remarks on Prime Submodules in Weak Co-Multiplication Modules,  International Journal of Engineering Research and Applications (IJERA), Vol. 06, Issue 2, February 2016, Page 110-114 [ISSN: 2248-9622]
  • A. K. Sinha and A. Prakash, On Rough Projective and Injective Modules, Global Journal of Pure and Applied Mathematics (GJPAM), Vol. 11, Issue 5, 2015, Page 3655-3664 [ISSN: 0973-1768]
  • A. K. Sinha and M. K. Dewangan, Interval Valued Intuitionistic (alpha, beta)- Fuzzy Hv- Ideals, Global Journal of Pure and Applied Mathematics (GJPAM), Vol. 11, Issue 2015, Page 3361-3370 [ISSN: 0973-1768]
  •  A. K. Sinha and M. K. Dewangan, On Interval Valued Intuitionistic (S, T)- Fuzzy Hv –subgroups, International Journal of Applied Engineering Research (IJAER), Vol. 10, Issue 16, 2015, Page 36474-36478 [ISSN: 0973-4562] 
  • A. K. Sinha and M. K. Dewangan, On Interval Valued Intuitionistic (α, β)-Fuzzy Hv-Subgroups, International Journal of Research in Advent Technology (IJRAT), Vol.3, Issue 10, October 2015, Page 54-59 [ISSN 2321-9637]
  •  A. K. Sinha  and D. Sasmal, On Prime Submodules in Weak Multiplication Modules, International Journal of Engineering Sciences & Research Technology (IJESRT), Vol. 4, Issue 9, September 2015, Page 256-259 [ISSN 2277- 9655]
  • A. K. Sinha and M. K. Dewangan, On Interval Valued Intuitionistic (alpha, beta)-Fuzzy Hv-Submodules, International Journal of Engineering Sciences & Research Technology (IJESRT),Vol. 4, Issue 7, July 2015, Page 333-341 [ISSN: 2277-9655]
  • A. K. Sinha and A. Prakash, Injective module based on rough set theory, Cogent Mathematics, Taylor & Francis, Vol. 1, Issue 2, July 2015, Page 1-7 [ISSN: 2331-1835]
  • A. K. Sinha, Some Results on Weak Co-Multiplication Modules, International Journal of Advanced Technology in Engineering and Science (IJATES),Vol. 3, Issue 06, June 2015, Page 282-284 [ISSN: 2348 -7550]
  •  A. K. Sinha and M. K. Dewangan, Some Results on Interval Valued Intuitionistic (S , T)-Fuzzy Hv -Submodules, International Journal of Engineering Research-Online (IJOER-Online),Vol. 3, Issue 3, June 2015, Page 622-631 [ISSN: 2321-7758]
  •  A. K. Sinha and A. Prakash, Rough Projective Module, International Journal of Material Science and Engineering (IJMSE), Vol. 2, Issue 1, April 2015, Page 35-38, [ISSN: 2374-149X]
  • A. K. Sinha and M. K. Dewangan, Fuzzy Hv-submodules in Γ-Hv-modules, International Journal of Engineering Research & Science (IJOER),  Vol.1, Issue 1, April 2015, Page 34-40 [ISSN: 2395-6992]
  • A. K. Sinha, V. Gedam, A. Pansari and B. K. Sahoo , The effect of macroscopic polarization on intrinsic and extrinsic thermal conductivities of AIN, Journal of Physics and Chemistry of Solids (ELSEVIER), Vol. 78, Issue 3, March 2015, Page 59-64 [ISSN: 0022-3697]
  • A. K. Sinha and M. K. Dewangan, On Intuitionistic (S , T) Fuzzy Hv-Ideals,  International Journal for Research in Emerging Science and Technology, Vol. 2, Issue 3, March 2015, Page 22-27 [ISSN: 2349-7610]
  •  A. K. Sinha, Some Results on Weak Multiplication Modules, International Journal of Innovative Research in Technology & Science (IJIRTS), Vol. 3, Issue 2, March 2015, Page 43-45 [ISSN: 2321-1156]
  •  A. K. Sinha and M. K. Dewangan, On Interval Valued Intuitionistic (S, T) Fuzzy Hv ideals, International Journal of Scientific Research in Science, Engineering and Technology (IJSRSET), Vol. 1, Issue 2, Feb 2015, Page 43-48 [ISSN: 2394-4099]
  • A. K. Sinha and M. K. Dewangan, Interval Valued (alpha, beta) -Fuzzy Hv -Ideals of  Hv Rings, Global Journal of Advanced Engineering Technologies and Sciences (GJAETS), Vol. 2, Issue 1, January 2015, Page 1-11 [ISSN: 2349-0292]
  • A. K. Sinha and A. Prakash, Roughness in Free Module, Proc, of the 1st International Conference on Rough Sets and Knowledge Technologies 2014, ELSEVIER, Page 19-22 [ISBN: 9789351072980]
  • A. K. Sinha and A. Prakash, Rough Projective Module, Proc. of the Second Intl. Conf. on Advances in Applied Science and Environmental Engineering (ASEE) 2014, Institute of Research Engineers and Doctors, USA, Page 35-38 [ISBN: 978-1-63248-033-0]
  • A. K. Sinha and M. K. Dewangan, On (alpha, beta) - Fuzzy Hv-Submodules of Hv-Modules, International Journal of Engineering Research and Management (IJERM), Vol. 1, Issue 9, December 2014, Page 196-200 [ISSN: 2349- 2058]
  •  A. K. Sinha and B. Barik, Weakly Pure and Weakly Co-pure Submodule of Multiplication Modules, International J. of Innovative Research in Science, Engineering and Technology (IJIRSET), Vol. 3, Issue 10, October 2014, Page 16649- 16653 [ISSN: 2319-8753]
  • A. K. Sinha and M. K. Dewangan, Intuitionistic Fuzzy Hv-subgroups, International Journal of Advanced Engineering Research and Science (IJAERS), Vol. 1, Issue 3, August 2014, Page 30-37 [ISSN: 2349-6495]
  • A. K. Sinha and M. K. Dewangan, Intuitionistic (α , β) Fuzzy H -Fuzzy Hv---Ideals,  International Journal of Computer Science and Network (IJCSN), May 2014, Conference Proceeding – RDFCORDGE – 2014, Page 100-105 [ISSN: 2277-5420]
  • A. K. Sinha and B. Barik, On Weakly Pure Submodules of Multiplication Modules, International Journal of Research in Advent Technology (IJRAT), Vol. 2, Issue 5, May 2014, Page 377- 378 [ISSN: 2321-9637]
  • A. K. Sinha and M. K. Dewangan, On Intuitionistic (S, T) - Fuzzy Hv-subgroups, European International Journal of Applied Science and Technology, Vol. 1, Issue 2, April 2014, Page 19-24 [ISSN: 2372-8385]
  •  A. K. Sinha and M. K. Dewangan, Some Results On Intuitionistic Fuzzy Hv-subgroups, International Journal of Research in Advent Technology (IJRAT), Vol. 2, Issue 2, February 2014, Page 308-312 [E-ISSN: 2321-9637]
  • A. K. Sinha and M. K. Dewangan, Intuitionistic (α, β) - Fuzzy Hv-Subgroups, International Journal of Engineering Sciences & Research Technology (IJESRT), Vol. 3, Issue 2, February 2014, Page 914-918 [ISSN: 2277-9655]
  •  A. K. Sinha and M. K. Dewangan, Isomorphism Theorems for Fuzzy Submodules of G-Modules, International Journal of Engineering Research and Applications (IJERA), Vol. 3, Issue 4, July-Aug 2013, Page 852-854  [ISSN: 2248-9622]
  •  A. K. Sinha, Application of Module Structure of Algebra in Coding Theory in Different Branches of Engineering, International Journal of Scientific Engineering and Technology (IJSET), Vol. 2, Issue 4, April 2013, Page 295-297 [ISSN: 2277-1581]
  • A. K. Sinha, On Some Dual Concepts in Modules, International Journal of Advance Mathematics and Mathematical Sciences (IJAMMS), Vol. 1, Issue 1, January-June, 2012, Page 25-30 [ISSN: 2278-0866]
  • A. K. Sinha, Small M- Pseudo Projective Modules, American Journal of Mathematics and Mathematical Science (AJMMS), Vol. 1, Issue 1, January- June, 2012, Page 9-13 [ISSN: 2278-0874]
  • A. K. Sinha and A. S. Ranadive, Pure M-injective Modules, Vikram Mathematical Journal, Vol. 22, 2002 Page 36-40 [ISSN: 2307-5492]
  •  A. K. Sinha, A. S. Ranadive and S. P. Singh, On M-Generator and M-Cogenerator, Varahmihir Journal of Mathematical Sciences, Vol. 2, Issue 1, January -June 2002, Page 181-190 [ISSN: 0972-7329]
  • A. K. Sinha, A. S. Ranadive and S. P. Singh, Corrigendum to a necessary and sufficient condition for Quasi- projectivity and Quasi injectivity, Journal of International Acad. of Physical. Sciences Allahabad, Vol. 5, 2001, Page 55- 61 [ISSN: 0974-9373]
  • A. K. Sinha, A. S. Ranadive and S. P. Singh, A necessary condition for M-Projectivity and M-Injectivity, Proceeding of Mathematical Society, B. H. U. Varanasi Vol. 17, 2001, Page 109-114 [ISSN: 0970-7080]
Other Info.

Reviewer of the Journal: Web of Science (ESCI) journal Cogent Mathematics and Statistics - Taylor and Francis, UK.

Ph. D.’s Produced: 02 (Awarded)

  1. Manoj Kumar Dewangan on the topic “A study of fuzzy aspects of algebraic hyperstructures”
  1. Anand Prakash on the topic “A study of rough aspects of algebraic structures”

Ph. D.’s Ongoing: 03

 

Sponsored Project:

One 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.

 

National Level Short Term Training Program (STTP) Organized (as a  Coordinator & convener): 04

  •  Conducted  a 5 Days 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 20014 in NIT Raipur.
  • 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 20014 in NIT Raipur.
  • 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.
  • 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.

 

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. First Position in the Merit list of M. Sc. (Mathematics) in 1995 batch of Government Auto. Sc. P. G.  College Bilaspur. (C. G.).
  2. 56th Position in M. P. Board in class 10th. 

      3.   National Scholarship being merit holder in High School.

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

Membership of Professional Bodies:

  1. Life member of Indian Mathematical Society (IMS) : Life Membership NumberL / 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:

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.

Member, New Syllabus Committee NIT 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 work: 1. Worked as Head of the Department for 3 yrs, 2. Worked as Departmental TEQIP Coordinator for 3 years, 3. Departmental Academic Committee, 4. Departmental Purchase Committee, 5. Departmental Right off/Disposal Committee 

Institute level work: 1. Admission process of 1st Semesters B. Tech Students., 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.