Personal Information

Dr. Vijay Kumar Yadav

Assistant Professor

M.Sc. (Mathematics and Statistics), CSIR-NET, JRF, Ph.D. (Indian School of Mines, Dhanbad)

vkymaths@curaj.ac.in

  • Fuzzy Set Theory and its Application
  • Fuzzy Topology
  • Fuzzy Automata Theory
  • Rough Set Theory
  • Category Theory

 Ph. D.: Indian School of Mines, Dhanbad-826004, Jharkhand, India.

 Thesis Title: On Algebraic and Categorical Study of Fuzzy Automata

 Supervisor: Dr. S. P. Tiwari, Associate Professor, Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad-826004, Jharkhand, India.

  • My research interest is fuzzy set theory, rough set theory, and category theory with application in topology and Theoretical Computer Science. 
S. No. Authors Title of Article Journal/Conference Details Journal/Conference Publication Year
1 S. P. Tiwari, Vijay K. Yadav, Priyanka Pal, B. K. Sharma Minimal Fuzzy Realization for fuzzy Behaviour: A Bicategory-theoretic Approach Multiple-Valued Logic and Soft Computing, 31(1-2), (2018) 105-121. Journal 2018
2 Tiwari, S. P., Yadav, V. K., Davvaz, B., Renu A categorical approach to minimal realization for a fuzzy language Fuzzy Sets and Systems, 351,(2018) 122-137. Journal 2018
3 Yadav, V. K., Yadav S., Tiwari, S. P. On the relationship between L-fuzzy closure spaces and L- fuzzy rough sets Communications in Computer and Information Science (CCIS), DOI: 10.1007/978-981 13-0023- 3_25.(Springer) Conference 2018
4 S. P. Tiwari, V. K. Yadav, V. Gautam On Minimal Fuzzy Realization for a Fuzzy Language: A Categorical Approach Journal of Multiple-Valued Logic & Soft Computing, 28(4), (2017) 361-374. Journal 2017
5 Yadav, V. K., Yadav S., Dubey, M. K., Tiwari, S. P. On algebraic characterization of IF-automata, Advances in Intelligent Systems and Computing (AISC), DOI: 10.1007/978-981-13-0224-4_51. (Springer) Conference 2017
6 Yadav, V. K., Dubey, M. K., Tiwari S. P. On the category of quantalesemi modules Advances in Intelligent Systems and Computing (AISC), DOI: doi.org/10.1007/978-981-13-0224-4_54.(Springer) Conference 2017
7 S. P. Tiwari, V. K. Yadav, M. K. Dubey Minimal realization for fuzzy behaviour: A bicategory-theoretic approach Journal of Intelligent & Fuzzy Systems, 30, (2016) 1057-1065. Journal 2016
8 V. K. Yadav, V. Gautam, S.P. Tiwari On minimal realization of IF-languages: A categorical approach Iranian Journal of Fuzzy Systems, 13 (3), (2016) 19-34 Journal 2016
9 S. Sharan, S. P. Tiwari, V. K. Yadav Interval Type-2 Fuzzy Rough Sets and Interval Type-2 Fuzzy Closure Spaces Iranian Journal of Fuzzy Systems, 12 (3), (2015) 113-125 Journal 2015
10 S. P. Tiwari, V. K. Yadav, A. K. Singh On algebraic study of fuzzy automata International Journal of Machine Learning and Cybernetics, 6 (3), (2015) 479-485. Journal 2015
11 S. P. Tiwari, A. K. Singh, S. Sharan, V. K. Yadav Bifuzzy core of fuzzy automata Iranian Journal of fuzzy System, 12(2), (2015) 63-73. Journal 2015
12 S. P. Tiwari, V. K. Yadav, A. K. Singh Construction of a minimal realization and monoid for a fuzzy language: a categorical approach Journal of Applied Mathematics and Computing, 47 (1-2), (2015) 401-416. Journal 2015
13 S. P. Tiwari, S. Sharan, V. K. Yadav Fuzzy closure spaces vs. fuzzy rough sets Fuzzy information and engineering, 6 (1), (2014) 93-100. Journal 2014
14 Vinay Gautam, Vijay K Yadav, Anupam K Singh, SP Tiwari On the topological structure of rough soft sets International Conference on Rough Sets and Knowledge Technology, RSKT-2014, 8818, (2014) 39-48.(Springer) Conference 2014
15 Swati Yadav, S. P. Tiwari, Mausam Kumari, Vijay K. Yadav Generalized rough and fuzzy rough automata forsemantic computing International Journal of Machine Learning and Cybernetics (2022) 13:4013–4032, https://doi.org/10.1007/s13042-022-01637-0 Journal 2022
16 Swati Yadav, S. P. Tiwari, Mausam Kumari, Vijay K. Yada An interval type-2 fuzzy model of computing with words via interval type-2 fuzzy finite rough automata with application in COVID-19 deduction New Mathematics and Natural ComputationVol. 18, No. 01, pp. 61-101 (2022), https://doi.org/10.1142/S1793005722500053 Journal 2022
17 Swati Yadav, S. P. Tiwari, Mausam Kumari, and Vijay K. Yadav Bicategory-Theoretic Approach to Minimal Fuzzy Realization for Fuzzy Behavior New Mathematics and Natural ComputationVol. 17, No. 03, pp. 775-799 (2021), https://doi.org/10.1142/S1793005721500381 Journal 2021

UGC Startup Grant

Title of Project: "Fuzzy Modeling of Tolerance Automata and Rough Automata"

Attended

1.2023 Presented a paper entitled "Generalized rough finite state automata for semantic computing", the 2nd National Conference on Computational and Characterization Techniques in Engineering & Sciences (CCTES-23) organized by Department of Applied Science & Humanities, Rajkiya Engineering College, Ambedkar Nagar, UP, India, during February 27-28, 2023..
2. 2022 Attended One-Week Training Program on "STUTI on Mathematics for Machine Learning’s", Organized by DST-Centre for Interdisciplinary Mathematical Sciences, BANARAS HINDU UNIVERSITY, VARANASI-221005, INDIA , September 19-25, 2022.
3. 2021 Chaired a session, on October 12 in the virtual National Conference on New Trends in Applied Mathematics (NCNTAM) 2021 organized by Department of Mathematics, University Institute of Engineering & Technology (U.I.E.T.), Chhatrapati Shahu Ji Maharaj University Kanpur, during
October 11 - 12 , 2021.
3. 2021 Delivered an online invited talk on “Mathematics and Its Application in Science & Engineering”, in One-Week Online Faculty Development Program, September 27 to October 1,  2021, organized by School of Mathematics, Shri Mata Vaishno Devi University, Katra, J & K.
4. 2021 Delivered an online invited talk on ‘Practical Mathematics’, on ‘National Mathematics Day’. celebration 22nd December, 2021 at Department of Mathematics & Statistics, Manipal University. Jaipur, Jaipur - 303007, Rajasthan, India.
5. 2021 Completed One-Week FDP on "Psychological Skills for Effective Teaching and Learning", Organized by TLC, Ramanujan College University of Delhi, August 14-20, 2021.
6. 2021 Completed "Two-Weeks Refresher course in Mathematics", Organized by TLC, Ramanujan College University of Delhi, March 16-30, 2021.
7. 2020 Participated in an International workshop on "New Trends in Fuzzy and Rough Set Theory and Its Applications", Organized by Department of Mathematics and Statistics, Manipal University, Rajasthan, September 25-29, 2020.
8. 2020 Presented a paper entitled, On Bicategory Theoretic Minimal realization for Fuzzy Behaviour, In : 35th Annual Conference of Mamanujan Mathematical Society, December 28-30, 2020, Organized by Department of Mathematics, CURAJ.
9. 2019 Five Days Workshop on Teaching-Learning-Evaluation For Faculty Members of (HEIs);, organized by Teaching Learning Centre, CURAJ, 05-09th Aug 2019, CURAJ.
10. 2020 One Days National Workshop on Healthy Lifestyle through Yoga Awareness, organized by Department of Yoga, CURAJ, 14th May 2018, CURAJ.
11. 2018 Four Weeks Induction Training Programme for Teachers of HEI’s, organized by Teaching Learning Centre, CURAJ, 01 -26th May 2018, CURAJ.

12. 2018 Present a paper entitled “On the Relationship between L-fuzzy Closure Spaces and L-fuzzy Rough Sets”, in: ICMC-2018, at IIT(BHU), 09-11 January 2018.

13. 2018 Present a paper entitled “On Minimal Fuzzy Realization for Fuzzy Behaviour”,in: CONIAPSXXII, at Dr. R.M.L. Avadh University, Faizabad, 13-15 April, 2018.

14. 2017 Present a paper entitled “On Algebraic Characterization of IF-automata”, in: ICACIE-2017, at CURAJ, 23-25 Nov 2017.

15. 2017 Attend GIAN programm entitled “Insight into fuzzy modeling: Reasoning in fuzzy natural logic and its applications”, at: IIT(ISM), Dhanbad, 23-27 Oct 2017.

16. 2016 Short Term Course on Fuzzy Set Theory and its Applications, attended, during 22–24 th Appril 2016, at NIT Rourkela.

17. 2014 Instructional School for Lecturers in Linear Algebra 2014, attended, during 17–29 th March 2014, at CEMS, S.S.J. Campus, Kumaun University Almora, Uttarakhand.

18. 2014 Instructional School for Lecturers in Topology, attended, during 30th September 2013–12th October 2013, at CEMS, S.S.J. Campus, Kumaun University Almora, Uttarakhand.

19. 2013 Modern trends in Soft Computing and Security Issues (MTSCS), attended during 23–28 September, 2013, at NIST Behrampur organized jointly by Center for Soft Computing Research ISI, Kolkata and NIST Behrampur.

20. 2013 National Conference on Recent Advances in Mathematics & its Application(RAMA-2013), attended, during 14-16th February 2013, organized by Department of Applied Mathematics, Indian school of Mines, Dhanbad, India.

21. 2013 Workshop on Mathematical Methods & Astronomy (WMMA 2013), attended, during 07-09th February 2013, organized by Department of Applied Mathematics, Indian School of Mines, Dhanbad, India.

22. 2012 Undergraduate Training Programme in Linear Algebra and Analysis-2012, attended and supervise problem solving session, during 28 May–6 June 2012, organized by Department of Applied Mathematics, Indian School of Mines, Dhanbad, India.

Title Attachment File Other Link
Google Scholar ID: https://scholar.google.co.in/citations?user=JLjCr1AAAAAJ&hl=en https://orcid.org/0000-0003-2043-8723