Specialization

Mathematical modelling of epidemiology classes, Nonlinear dynamics and fuzzy optimization

Email

tina.verma1@thapar.edu

Assistant Professor

tina.verma1@thapar.edu

Biography

Dr. Tina Verma is working as an Assistant Professor in the School of Mathematics (SOM), Thapar Institute of Engineering & Technology (TIET), Patiala. Before joining Thapar she was working as Postdoctoral fellow in Indian Institute of Technology Ropar from 2017-2020. She received her degree of Doctor of Philosophy (PhD) from School of Mathematics, TIET, Patiala in 2016 and she was awarded with INSPIRE fellowship by Department of Science and Technology. She received her Master’s degree in Mathematics (MSc) from TIET, Patiala in 2012. She was awarded with Gold and silver medal for securing first rank in MSc. Her research area is fuzzy optimization, game theory, epidemiology and non-linear dynamics. Her expertise extends to various statistical software packages like Xppaut, MATHEMATICA, MATCONT, and MATLAB, allowing her to analyze data and solve real-world problems.

Education:

• Postdoctoral (IIT Ropar) in Synchronization and stability of epidemiology classes.
• Ph.D. (TIET Patiala) in Non-cooperative games with fuzzy parameters.
• M. Sc. (TIET Patiala) in Mathematics and Computing (9.92 CGPA).
• B.Sc. (Punjabi University, Patiala) in Computer, Statistics and Mathematics (83.14%).
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  Experience:

  • Assistant Professor, Department of Mathematics, Thapar Institute of Engineering and Technology, Patiala. (July 2021- Till date)
  • Postdoctoral fellow, Indian Institute of Technology Ropar, Rupnagar. (December 2017-Novemeber 2020)
  • Assistant Professor, Department of Mathematics, Chandigarh University, Gharuan, Mohali. (July 2016-November 2017).
  • Lecturer of Mathematics in Sri Guru Harkrishan College of Management & Technology, Patiala (affiliated to Punjabi University, Patiala) (w.e.f. July 20, 2012 to July 29, 2013).

  Teaching Interests:

  • Numerical Analysis
  • Optimization Techniques

  Research Interest :

  • Fuzzy Set Theory
  • Differential Equations
  • Operations Research

  Publications:

  Journals

  1. Kirti, Kirti, Tina Verma, and Amit Kumar. "A note on “A novel defuzzification approach of type-2 fuzzy variable to solving matrix games: An application to plastic ban problem”." Iranian Journal of Fuzzy Systems 21.4 (2024): 35-47..
  2. Kirti, Tina Verma, and Amit Kumar. "Modified approaches to solve matrix games with payoffs of single-valued trapezoidal neutrosophic numbers." Soft Computing 28.1 (2024): 1-50.
  3. Kirti, Tina Verma, and Amit Kumar. "A note on" A methodology for solving bimatrix games under 2-tuple linguistic environment"." International Game Theory Review (2024).
  4. Verma, Tina. "Dispersal engendered synchronization and stability of mediated infectious diseases in the patchy environment using mean-field diffusive coupling." Communications in Nonlinear Science and Numerical Simulation 124 (2023): 107283.
  5. Verma, Tina. "Solving the shortest path problem on networks with fuzzy arc lengths using the complete ranking method." Operational Research 22.4 (2022): 3607-3631.
  6. Verma, Tina. "A novel method for solving constrained matrix games with fuzzy payoffs." Journal of Intelligent & Fuzzy Systems 40.1 (2021): 191-204.
  7. Verma, Tina, and Arvind Kumar Gupta. "Evolutionary dynamics of rock-paper-scissors game in the patchy network with mutations." Chaos, Solitons & Fractals 153 (2021): 111538.
  8. Verma, Tina, and Arvind Kumar Gupta. "Network synchronization, stability and rhythmic processes in a diffusive mean-field coupled SEIR model." Communications in Nonlinear Science and Numerical Simulation 102 (2021): 105927.
  9. Verma, Tina, and Arvind Kumar Gupta. "Mean-field dispersal induced synchrony and stability in an epidemic model under patchy environment." Physica A: Statistical Mechanics and its Applications 541 (2020): 123300.
  10. Verma, Tina. "A novel method for solving constrained matrix games with fuzzy payoffs." Journal of Intelligent & Fuzzy Systems 40.1 (2021): 191-204.
  11. Verma, Tina, and Amit Kumar. "Ambika methods for solving matrix games with Atanassov's intuitionistic fuzzy payoffs." IEEE Transactions on Fuzzy Systems 26.1 (2017): 270-283.
  12. Verma, Tina, Amit Kumar, and Janusz Kacprzyk. "A novel approach to the solution of matrix games with payoffs expressed by trapezoidal intuitionistic fuzzy numbers." Journal of Automation Mobile Robotics and Intelligent Systems 9.3 (2015): 25-46.
  13. Verma, Tina, Amit Kumar, and S. S. Appadoo. "Modified difference-index based ranking bilinear programming approach to solving bimatrix games with payoffs of trapezoidal intuitionistic fuzzy numbers." Journal of Intelligent & Fuzzy Systems 29.4 (2015): 1607-1618.
  14. Verma, Tina, and Amit Kumar. "A note on “a lexicographic method for matrix games with payoffs of triangular intuitionistic fuzzy numbers”." International Journal of Computational Intelligence Systems 8.4 (2015): 690-700.
  15. Verma, Tina, and Amit Kumar. "A note on “A methodology for matrix games with payoffs of triangular intuitionistic fuzzy number”." Journal of Intelligent & Fuzzy Systems 27.4 (2014): 1689-1691.

  Book Chapters:

  Book: Fuzzy solution concepts for non-cooperative games. New York, NY, USA: Springer International Publishing, 2020.

  1. Verma, Tina, et al. "Matrix games with interval payoffs." Fuzzy Solution Concepts for Non-cooperative Games: Interval, Fuzzy and Intuitionistic Fuzzy Payoffs (2020): 1-36.
  2. Verma, Tina, et al. "Matrix games with fuzzy payoffs." Fuzzy Solution Concepts for Non-cooperative Games: Interval, Fuzzy and Intuitionistic Fuzzy Payoffs (2020): 37-63.
  3. Verma, Tina, et al. "Constrained Matrix Games with Fuzzy Payoffs." Fuzzy Solution Concepts for Non-cooperative Games: Interval, Fuzzy and Intuitionistic Fuzzy Payoffs (2020): 65-99.
  4. Verma, Tina, et al. "Matrix Games with Intuitionistic Fuzzy Payoffs." Fuzzy Solution Concepts for Non-cooperative Games: Interval, Fuzzy and Intuitionistic Fuzzy Payoffs (2020): 101-150.
  5. Verma, Tina, et al. "Bimatrix Games with Intuitionistic Fuzzy Payoffs." Fuzzy Solution Concepts for Non-cooperative Games: Interval, Fuzzy and Intuitionistic Fuzzy Payoffs (2020): 151-163.
  6. Verma, Tina, et al. "Future Scope." Fuzzy Solution Concepts for Non-cooperative Games: Interval, Fuzzy and Intuitionistic Fuzzy Payoffs (2020): 165-166.
  7. Verma, Tina, and Amit Kumar. "Jagdambika Method for Solving Matrix Games with Fuzzy Payoffs." Recent Developments and the New Direction in Soft-Computing Foundations and Applications: Selected Papers from the 6th World Conference on Soft Computing, May 22-25, 2016, Berkeley, USA. Springer International Publishing, 2018.

  Academic Accomplishments:

  • Full financial support to present a poster in .9th International Congress on Industrial and Applied Mathematics - ICIAM 2019, held on July 15-19, 2019 at University of Valencia, Valencia, Spain.
  • Partial financial support (Registration fee) to present a research paper in The 10th International Congress on Industrial and Applied Mathematics - ICIAM 2023, August 20-25, 2023 at Waseda University, Tokyo, Japan.
  • Awarded with INSPIRE Fellowship by Department of Science and Technology for pursuing Ph.D. on the basis of being topper in M.Sc.
  • Upgraded from JRF to SRF within one year of JRF level under INSPIRE Fellowship. (Fellowship Amount: (₹28,000+₹2800=₹30,800).
  • Honored with Roll of Honor Certificate and Cash Prize at Chandigarh by Prof. Mohan Paul, Vice-Chancellor of Jammu University for being topper in M.Sc. .
  • Awarded with GOLD MEDAL for being topper in M.Sc.
  • Awarded with Silver medal and cash prize (₹ 42,000) for securing 1st rank in M.Sc. (First year).
  • Awarded by cash prize (₹ 10,000) for securing 3rd rank in the entrance test of M.Sc.
  • Awarded by prize in 10+2 for being topper in school and attained 183 rank in merit list.
  • Awarded by prize in 9th standard for securing 1st position.

  Academic Activities:

  • Participated in 2-day workshop on “Excel Modelling, A Boon for Decision Makers” organized by LM Thapar School of Management, Thapar University, Patiala from October 11-12, 2013..
  • Participated in four days workshop on “Fuzzy Sets, Fuzzy Logic and its Applications in Big Data Analytics” from April 12-15, 2016.
  • Participated in the “IFCAM Summer School Workshop on Mathematics for Data Science” organized by IISc Bangalore, 2019.