• Ph.D. in Mathematics – Deen Bandhu Chhotu Ram University of Science and Technology, Murthal (Haryana) (2015)
  Specialization: Mathematical Information Theory, Fuzzy Information Theory and Applications
• M.Sc. in Mathematics – Kurukshetra University, Kurukshetra (1999)
  Specialization: Applied Algbera, Measure Theory
• B.Sc.  – M.D. University, Rohtak (Haryana) (2005)
  Specialization: Physics, Chemistry, Mathematics

• Associate Professor, School of Mathematics
  Shri Mata Vaishno Devi University, Katra (2022–Present)

• Assistant Professor, School of Mathematics
  Shri Mata Vaishno Devi University, Katra (2011–2022)

• Assistant Professor, Department of Mathematics
  S. D. Institute of Technology and Management, Panipat (2007–2011)

• Lecturer, Department of Mathematics
  S. D. (P.G.) College, Panipat (2006–2007)
• Lecturer, Department of Mathematics
  I. B. (P.G.) College, Panipat (2002–2003)
• Lecturer, Department of Mathematics
  S. D. (P.G.) College, Panipat (2000–2002)

• Head of Department of Applied Sciences – S.D. Institute of Technology and Management, Panipat (2011)

• Warden, Nilgiri Boys Hostel,  Shri Mata Vaishno Devi University (2016–2020)

• Deputy-Director, Directorate of Quality Assurance (DQA) – Shri Mata Vaishno Devi University (2023–present)

• Research Supervisor – Ph.D. and P.G. students, Shri Mata Vaishno Devi University, Katra (2016–Present)

Publications (SCI/SCIE/SCOPUS Indexed):

1. On a new Csiszar’s f-divergence Measure, Cybernetics and Information Technologies, 13, 43-57,2013
2. On some properties of Tsallis Entropy on Majorization Lattice, ACTA MATHEMATICA ACADEMIAE PEADAGOGICAE NYIREGYHAZIENSIS, 31 , 331-340, 2015 
3. On a Knowledge Measure and an Unorthodox Accuracy Measure of an Intuitionistic Fuzzy Set (s) With their Applications, International Journal of Computational Intelligence Systems, 11, 1338-1356, 2018
4. Generalized Correlation Coefficients of hesitant Fuzzy sets and the Hesitant Fuzzy soft Sets with Application in Group Decision-making, Journal of Intelligent and Fuzzy Systems, 35, 3821-3833,2018 
5. On some Generalized Correlation Coefficients Of the fuzzy Sets and Fuzzy soft Sets with Application in Cleanliness Ranking of Public health Centres, Journal of Intelligent And Fuzzy Systems, 36, 3671-3683, 2019
6. On Generalized Correlation Coefficients of The Hesitant Fuzzy Sets With Their Application To Clustering Analysis, Computational and Applied Mathematics, 38 , 11, 1-26, 2019
7. Dual Concepts in Fuzzy theory: Entropy and Knowledge Measure, International Journal of Intelligent Systems, 34 , 1034-1059, 2019
8. On Generalized Fuzzy Entropy and Fuzzy Divergence Measure with Applications, International Journal of Fuzzy System Applications, 8, 47-69, 2019
9. Some new correlation coefficients of picture fuzzy sets with applications, Neural Computing and Applications, 32, 15609-15625, 2020 
10. Generalized Correlation Coefficients of Intuitionistic Fuzzy Sets with Application to MAGDM and Clustering Analysis, International Journal of Fuzzy Systems, 22, 1582-1595,2020 
11. Knowledge measure of hesitant fuzzy set and its application in multi-attribute decision-making, Computational and Applied Mathematics, 39 , 86, 1-26,2020
12. On generalized knowledge measure and generalized accuracy measure with applications to MADM and pattern recognition, Computational and Applied Mathematics, 39 , 231, 1-46, 2020
13. On Some Knowledge Measures of Intuitionistic Fuzzy Sets of Type Two with Application to MCDM, Cybernetics and Information Technologies, 20, 3-20,2020 
14. On some correlation coefficients in Pythagorean fuzzy environment with applications, International Journal of Intelligent Systems, 35 , 682-717, 2020
15. On a weighted fuzzy knowledge measure with its application to multi-attribute decision-making, Songklanakarin Journal of Science And Technology, 42, 1377-1388,2020 
16. A picture fuzzy similarity measure based on direct operations and novel multi-attribute decision-making method, Neural Computing and Applications, 33,9199-9219, 2021 
17. On a generalized entropy and dissimilarity measure in intuitionistic fuzzy environment with applications, Soft Computing, 25, 7493-7514, 1432-7643 , 2021 
18. An innovative picture fuzzy distance measure and novel multi-attribute decision-making method, Complex Intelligent Systems, 7, 781-805,2021 
19. Applications of picture fuzzy similarity measures in pattern recognition, clustering, and MADM, Expert Systems With Applications, 168, 1-17,0957-4174, 2021 
20. On generalized correlation coefficients of picture fuzzy sets with their applications, International Journal of Fuzzy System Applications, 10,59-81,2021
21. Applications of a picture fuzzy correlation coefficient in pattern analysis and decision-making, Granular Computing, 7, 353-367, 2364-4974, 2022 
22. Some novel q-rung orthopair fuzzy correlation coefficients based on the statistical viewpoint with their applications, JOURNAL OF AMBIENT INTELLIGENCE AND HUMANIZED COMPUTING, 13, 2227-2252, 2022 
23. Generalized hesitant fuzzy knowledge measure with its application to multi-criteria decision-making, GRANULAR COMPUTING, 7, 239-252, 2022 
24. Two-parametric generalized fuzzy knowledge measure and accuracy measure with applications, INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 37, 3836-3880, 2022 
25. On a new picture fuzzy correlation coefficient with its applications to pattern recognition and identification of an investment sector, COMPUTATIONAL AND APPLIED MATHEMATICS, 41 , 8, 1-35, 2022
26. Distance-Based Knowledge Measure of Hesitant Fuzzy Linguistic Term Set With Its Application in Multi-Criteria Decision Making, INTERNATIONAL JOURNAL OF FUZZY SYSTEMS AND APPLICATIONS, 11, 1-20, 2022 
27. Knowledge and accuracy measure based on dual-hesitant fuzzy sets with application to pattern recognition and site selection for solar power plant, GRANULAR COMPUTING, 8, 157-170, 2364-4974, 2022 
28. A Complementary Dual of Single-Valued Neutrosophic Entropy with Application to MAGDM, MATHEMATICS, 10 , 1-19, 2022
29. On some measures of similarity and entropy for Pythagorean fuzzy sets with their applications, COMPUTATIONAL AND APPLIED MATHEMATICS, 41, 420, 1-30, 2022 
30. Picture Fuzzy Knowledge Measure with Application to MADM, International Journal of Mathematical, Engineering and Management Sciences, 8 , 650-671, 2023 
31.   Normal K^N functions-based fuzzy information measures with applications in MADM and pattern recognition, INFORMATION SCIENCES, 644, 1-30, 2023 
32.   On Dual Proximity Measure of Intuitionistic Fuzzy Sets, NEURAL COMPUTING AND APPLICATIONS, 35, 6293-6311, 2023
33. Some novel q-rung orthopair fuzzy similarity measures and entropy measures with their applications, EXPERT SYSTEMS, 40, e13240, 2023
34. An Asymmetric Measure of Comparison of Neutrosophic Sets, NEUTROSOPHIC SETS AND SYSTEMS, 55, 1-15, 2023 
35. Novel fuzzy similarity measures and their applications in pattern recognition and clustering analysis. GRANULAR COMPUTING, 2023. https://doi.org/10.1007/s41066-023-00393-y 
36. Correlation coefficients in T-spherical fuzzy environment using statistical viewpoint and their applications, INTERNATIONAL JOURNAL OF OPERATIONAL RESEARCH, 47(3), 2023, DOI: 10.1504/IJOR.2020.10037551
37. Novel Construction Method for Pythagorean Fuzzy Similarity Measures, International Journal of Information Technology, 16 (4), 2089-2097, (2024)
38. Aggregation operators-based divergence measures for single-valued neutrosophic sets with their applications to pattern recognition, JOURNAL OF INTELLIGENT AND FUZZY SYSTEMS, 46(4), 2024
39. Pattern Recognition and Image Segmentation Based on Some Novel Fuzzy Similarity Measures, Journal of Experimental & Theoretical Artificial Intelligence , 2024,  https://doi.org/10.1080/0952813X.2024.2440662
40. Novel Construction Methods for Picture Fuzzy Divergence Measures with Applications in Pattern Recognition, MADM, and Clustering Analysis, Pattern Analysis and Applications, 28(2), 2025  
41. Novel Similarity measure for interval-valued intuitionistic trapezoidal fuzzy numbers, International Journal of Information Technology, 2025 , DOI : 10.1007/s41870-024-02301-2
42. Single-valued neutrosophic Yager power aggregation operators and its application to MCDM, Yugoslav Journal of Operations Research, 2025, DOI: https://doi.org/10.2298/YJOR240715004S

• “Concept of Certainty in Residual life of a system”
  AIP CONFERENCE PROCEEDING, 2142 , 1-5, 2019.

• “An Improved Picture Fuzzy Similarity Measure with Its Application in Pattern Recognition and COVID-19”
   edited book “Applied Nonlinear Analysis and Soft Computing” (pp. 43-76), Springer Nature Singapore, 2023.

• “On Monotonic Function Method for Generating Fuzzy Similarity Measures”International Conference on Intelligent and Fuzzy Systems (pp. 54-64), Intelligence and Sustainable Future Proceedings of the INFUS 2023 Conference, Volume 1, Springer Nature Switzerland, 2023

• “Generalized knowledge measure based on hesitant fuzzy sets with application to MCDM “
  Chapter in “Applications of Mathematical Modeling, Machine Learning, and Intelligent Computing for Industrial Development”, 1st Edition, CRC Press, 2023.

• Ph.D. Students Supervised – Shri Mata Vaishno Devi University (2016–Present)

  • Supervised 6 Ph.D. candidates (04 Awarded , 03 continuing) in Fuzzy Information Theory and Applications. 

• Master’s Thesis Advisor – Shri Mata Vaishno Devi University (2011–present)

  • Mentored 20 Master’s students in Applied Mathematics.

• Co-organizing Secretary, National Seminar on Recent Trends in Mathematical Sciences organized by School of Mathematics, 9-10^th February, 2017.
• Coordinator, National Conference on Recent Trends in Mathematical Sciences organized by School of Mathematics, Shri Mata Vaishno Devi University, 13-14 December 2019.
• Co-Convener, Virtual International Conference on Mathematical Sciences and Computational Intelligence organized by School of Mathematics, Shri Mata Vaishno Devi University, 21-22 December 2020.
• Coordinator, National Level Webinar to celebrate National Mathematics Day organized by School of Mathematics, Shri Mata Vaishno Devi University, 21-22 December 2021.
• Coordinator, One Week Faculty Development Program on Mathematics and its Applications in Science & Engineering (online) Faculty Development Centre, SMVDU in association with School of Mathematics , SMVDU, 27 sept 2021 to 1^st October 2021.
• Organizing Secretary, Workshop on “Prevention of Sexual Harassment at Workplace Act  2013” organized by Internal Complaint Committee, SMVDU, 31 May 2022
• Coordinator, National conference on Recent Trends in Mathematical Sciences, organized by School of Mathematics, Shri Mata Vaishno Devi University, 21-22 March 2024.
• Coordinator, Online 8-days “NEP Orientation & Sensitization Program” organized by MMTTC, SMVDU, 12-22 February 2024.
• Coordinator, Online STTP on Mathematical Methods, organized by MMTTC, SMVDU, 14-19 October 2024.
• Coordinator, Online 8-days “NEP Orientation & Sensitization Program” organized by MMTTC, SMVDU, 13-23 January 2025.
• Co-Coordinator, PM-USHA sponsored Two-days workshop on “Accreditation Procedure & Ranking in HEIs” organized by Directorate of Quality Assurance (DQA), SMVDU, 28 February-01 March 2025.

1. Delivered a talk entitled, “On measures of knowledge and accuracy in intuitionistic fuzzy environment and their applications” in National Seminar on “Recent Advances in Complex Analysis and Operator Theory” and 27^th Annual Conference of the Jammu Mathematical Society from February 15-17, 2018, organized by Department of Mathematics, University of Jammu, Jammu, J & K.
2. Delivered a talk entitled, “On Some Developments and Applications concerning Fuzzy Theory and its Extensions ” in International Conference (Online) On Recent Trends In Science, Humanities & Engineering”  on 27^th September 2020, organized by Institute Of Teacher Education, Modinagar ,Uttar Pradesh.
3. Resource Person in “ One Week FDP (Online) On Recent Advances In Mathematical Sciences & Applications In Engineering” during 17-21 October 2020 organized by Government College Simalwara, Dungarpur, Rajasthan.
4. Resource Person in “Two Week Online Refresher Course In Mathematics” during 23^rd October 2020 to 6^th November 2020 organized by UGC-HRDC, BPS Mahila Vishwavidyalaya, Khanpur Kalan, Sonipat, Haryana.
5. Resource Person in “Two Week Refresher Course in online Course Development and Use of ICT in Teaching & Research (ID)” during 18^th  November 2020 to 4^th  December  2020 organized by UGC-HRDC, BPS Mahila Vishwavidyalaya, Khanpur Kalan, Sonipat, Haryana.
6. Delivered a talk entitled, “On Some Concepts in Fuzzy Theory with Applications” on 25^th May 2021 in Virtual International Conference On Emerging Trends In Engineering, Science, Management & Commerce organized by Madhyanchal Professional University, Bhopal (M.P.).
7. Delivered a talk entitled, “Fuzzy Paradigms of Uncertainty Modeling” on 21^st October 2022 in National Conference on Recent Advances in Mathematics organized by the Department of Mathematics, Central University of Jammu.
8. Resource Person in “Two Week Refresher Course on Mathematics in India: from Vedic era to modern Times ” during 9^th December 2023 to 22^nd   December  2023 organized by UGC-HRDC, BPS Mahila Vishwavidyalaya, Khanpur Kalan, Sonipat, Haryana.
9. Resource Person in 8-days online “NEP Orientation & Sensitization Program” w.e.f. 10-19 February 2025 organized by UGC-MMTTC, Shri Mata Vaishno Devi University, Katra.        (Theme:Holistic and Multidisciplinay Education)
10. Resource Person in 4-weeks  online “Faculty Induction Program” w.e.f. 17^th February-19^th March 2025 organized by UGC-MMTTC, Shri Mata Vaishno Devi University, Katra        (Theme:Environmental Consciousness and Sustainable Development Goals)

• Recognised among the top 2% Scientists of the World for the year 2023-24 , as per the list released by Elsevier and Standford University.
• Incentive for outstanding performance w.r.t. research publication of research papers in SCI/SCI-
  E indexed journals-2022.
• Best paper award at International Conference on Innovative Research in Science, Management, and Technology organized by JNV University, Jodhpur, India (5-7 January, 2024)

1.  Advanced Linear Algebra (M.Sc. 2nd Semester/IBHM 8th Semester)

         Lecture Plan: https://smvdu.ac.in/wp-content/uploads/2017/06/Advanced-Linear-Algebra-Lesson-Plan-Jan-May-2025.pdf

   Course Material: https://archive.nptel.ac.in/courses/111/107/111107164/

     2.  Real Analysis (B.Sc. (Hons.) 4th Semester)

          Lecture Plan: https://smvdu.ac.in/wp-content/uploads/2017/06/Real-Analysis-II-Lesson-Plan-Jan-May-2025.pdf                                

 Course Material: https://archive.nptel.ac.in/courses/111/101/111101134/

      3. Introduction to Matrix Theory (AEC)

           Lecture Plan: https://smvdu.ac.in/wp-content/uploads/2017/06/Matrix-Theory.pdf

            Course Material:https://archive.nptel.ac.in/courses/111/108/111108157/