Faculty

Core Research Domains:

• Fuzzy Set
• Hesitant Fuzzy Set
• Fuzzy Automata Theory
• Rough Set
• Decision Making

Research Focus:

• Thesis Title– Generalized Fuzzy and Rough Sets Based Models of Automata and Decision Making Techniques
• Overview of Research Topic- To study the algebraic and categorical study of automata based on some generalized versions of fuzzy and rough sets such as interval-valued fuzzy sets, intuitionistic fuzzy sets, hesitant fuzzy sets, weighted hesitant fuzzy sets, fuzzy rough sets, weighted hesitant fuzzy rough sets, and demonstrating their utility in decision-making processes.

Journals and Conferences:

• Sunny Verma, Swati Yadav, Vijay K. Yadav, S.P. Tiwari, On Minimal Realization of ILF- Languages: A Categorical Approach, New Mathematics and Natural Computation, Vol. 19 No. 01, pp.153-172, 2023, https://doi.org/10.1142/S1793005723500047.
• Sunny Verma, Mausam Kumari, Shainky Ruhela, Vijay K. Yadav, Weighted hesitant fuzzy finite rough automaton: A computing model for natural language processing, New Mathematics and Natural Computation, Manuscript No. NMNC-D-24-00005, 2024 https://doi.org/10.1142/S1793005725500528.
• Shainky Ruhela, Sunny Verma, Vijay K. Yadav, S.P. Tiwari, Topological Approaches in Characterization of Algebraic Structure of Fuzzy Multiset Finite Automata, New Mathematics and Natural Computation, Manuscript No. NMNC-D-24-00017, 2024 https://doi.org/10.1142/S1793005726500043.
• Sunny Verma, Vijay K. Yadav, Shainky Ruhela, Swati Yadav, Binod K. Sharma, “On Brzozowski’s algorithm, pumping lemma, and monoid representation for a typical hesitant fuzzy multiset language” published in International Journal of Information Technology 2025 https://doi.org/10.1007/s41870-025-02644-4  .

 FDPs, Workshops & Conferences Attended:

• Participated in a one month UGC – Malaviya Mission Teacher Training Centre (MMTTC), Centre for Professional Development in Higher Education (CPDHE) University of Delhi from 18th June 2025 – 15th July 2025.
• Participated in a one-week online International Level Faculty Development Programme on “Advanceed Numerical Computations and Dynamical Systems” organized by the Department of Mathematics, Anurag University, Hyderabad, from 23rd to 27th June 2025. 
• Participated and completed the Five-day National level Faculty Development Programme organized by Institute of Science and Management, Ranchi (Approved by AICTE & Affiliated to JUT) on the topic “Effective Teaching Strategies for 21st Century Classroom” Date: 8th January’2025 to 12th January’2025.
• Participated in a one-week National Level Faculty Development Programme on “Recent Development in Pure & Applied Mathematics” organized by the Department of Engineering Sciences & Humanities, IIST, Indore in association with Indian Mathematical Society, from 23rd to 28th December 2024.
• Participated and delivered an oral talk in an International Conference On Recent Trends in Mathematical and Computational Sciences entitled as “On minimal realization of ILF- languages: A categorical approach” organized by the Department of Mathematics and Statistics, Amity Institute of Applied Sciences, Amity University Kolkata, West Bengal from 28th to 29th July 2022.
• Participated and delivered an oral talk at the International Conference on Pure and Applied Mathematics (ICPAM-2023) is entitled as “On minimal realization of typical hesitant fuzzy multiset languages: A categorical approach” organized by the Department of Mathematics, NIT Jalandhar & MNIT Jaipur from 26th  to 28th October 2023.
• Participated and delivered an oral talk at the International Conference on Advances in Pure and Applied Mathematics [ICAPAM-2023] is entitled as “On Brzozowski’s Algorithm, Pumping Lemma, and Monoid Representation For a Typical Hesitant Fuzzy Multiset Language” organized by the Department of Mathematics, Ganpat University, held from 27th  to 28th October 2023.
• Participated in an international online workshop on “New Trends in Fuzzy and Rough Set Theory and its Applications” at Manipal University, Jaipur, Rajasthan, India from 25th to 29th September 2020.
• Participated in the Workshop on Discrete Mathematics, Mathematical Modelling and Probability & Statistics (WDMMMPS-2022), a one-week faculty Development Programme, of a total thirty-six hours duration organized by Calcutta Mathematical Society, Kolkata, India, from 14th to 20th June 2022.
• Attended the training Program “STUTI on Mathematics for Machine Learning” by DST-CIMS, Institute of Science at Banaras Hindu University, Varanasi, India, from 19th to 25th September 2022.
• Attended “IST on Mathematics for Data Sciences” hosted by DA-IICT, Gandhinagar, Gujrat from 02th to 14th January 2023.
• Participated in the “Five Days Online Faculty Development Programme” on “ Emerging Research Orientation in Mathematics and its Applications” Organised by Department of Mathematics, CMR Institute of Technology, Bengaluru from 9 January 2023 to 13 January 2023.

References

• Dr. Vijay Kumar Yadav (Ph.D. Supervisor) Department of Mathematics Central University of Rajasthan E-mail: vkymaths@curaj.ac.in Mobile: 07004420236
• Dr. Vipul Kakkar (DRC Member) Department of Mathematics Central University of Rajasthan E-mail: vipulk@curaj.ac.in Mobile: 09956105353