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Dr. Abha Tripathi

Assistant Professor

Dr. Abha Tripathi is an Assistant Professor in the Department of Mathematics, School of Basic Sciences, at Galgotias University. She has two years of teaching experience and has been a part of Galgotias University since April 2024. Dr. Tripathi earned her Ph.D. from IIT (ISM) Dhanbad. A dedicated and passionate educator, she strives to nurture critical thinking and a deep understanding of mathematics among her students.

Experience

  • 2.5 years of teaching experience.

Qualification

  • Ph.D.

Research Interest

  • Fuzzy Transform, Fuzzy Topology, Fuzzy Rough Sets, Fuzzy Differential Equations, and Category Theory. 

Research Publications and Preprints

  • A. Tripathi, S.P. Tiwari, I. Perfilieva, F-transforms determined by implicators, Iranian Journal of Fuzzy Systems, 18 (2021) 19-36. 
  • A. Tripathi, S.P. Tiwari, A.P. Singh, On LM-valued F-transforms, LM-valued fuzzy rough sets and LM-valued fuzzy transformation systems, New Mathematics and Natural Computation, 17 (2021) 339-359.
  • A. Tripathi, S.P. Tiwari, A.P. Singh, On LM-valued F-transforms, LM-valued fuzzy rough sets, In Proceedings of the Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology (EUSFLAT 2019), 1 (2019) 220-226.
  • A. Tripathi, S.P. Tiwari, On L-fuzzy topological spaces determined by impli cators, New Mathematics and Natural Computation, 19 (2023) 805-830.
  • A. Tripathi, S.P. Tiwari, J. Kavikumar, N.D. Pillai, A fuzzy function granular F-transform and inverse F-transform with application, Decision Analytics Journal, 7 (2023) 100241.
  • A. Tripathi, S.P. Tiwari, On categories associated with L-valued fuzzy approximation spaces, Journal of Multiple-Valued Logic and Soft Computing, 42 (2024) 517-543.
  • A. Tripathi, S.P. Tiwari, J. Kavikumar, S. Mahato, On F-transform based on overlap and grouping maps over complete lattice, Soft Computing, 28, (2024) 10781-10800.
  • A. Tripathi, S.P. Tiwari, Prey–Predator Model with Optimal Harvesting in Fuzzy Environment, New Mathematics and Natural Computation. (https://doi.org/10.1142/S1793005726500250)
  • A. Tripathi, S.P. Tiwari, a review on integral, discrete, and lattice-valued fuzzy transforms and their applications, New Mathematics and Natural Computation.

(https://doi.org/10.1142/S1793005727500517)

  • A. Tripathi, S.P. Tiwari, On Unification of Categories Associated with F-Transforms and Fuzzy Pretopological Spaces as Qua category. (arXiv preprint arXiv:2505.02535)
  • A. Tripathi, S.P. Tiwari, On Categories of Spaces with L-Fuzzy Partitions, L-Fuzzy Closure System Spaces and Coalgebras (Dialgebras). (arXiv preprint arXiv:2212.08520)

Conferences and Workshops

  • Presented a Research Article entitled with "On categories associated with L fuzzy approximation spaces" in The 5th International Conference on Intelligent Decision Science (IDS-2022, Online) organized by Istinye University, Istanbul, Turkey.
  • Presented a Research Article entitled with "On Relational Aspects of LM-valued F-transform" in 35th Annual Conference of the Ramanujan Mathematical Society (RMSCON2020) organized by Department of Mathematics, Central University of Rajasthan, India.
  • Presented a Research Article entitled with "On Čech fuzzy interior spaces and fuzzy pretopological spaces determined by implicator" in 86th Annual Conference of Indian Mathematical Society- An International Meet (IMS2020) organized by Department of Mathematics, School of Advanced Sciences, VIT Vellore, India.
  • Attended online International Workshop on New Trends in Fuzzy and Rough Set Theory and its Applications organized by Department of Mathematics & Statistics, School of Basic Sciences, Manipal University, Jaipur, Rajasthan, India.
  • Attended online International Workshop on Mathematics in Data Analysis and Internet Security organized by Department of Mathematics, Kalyani Mahavidyalaya, Nadiya, West Bengal, India.
  • Attended A two-day International Webinar on Fuzzy and Neutro sophic Systems organized by Department of Mathematical Sciences, Bodoland University, BTAD, Assam, India.
  • Attended 6th Indian School on Logic and its Applications (2018): Logic and Automata organized by IIEST, Shibpur, Kolkata, India.
  • Attended Annual Foundation School-1 (AFS-1 2018) of Advanced Training in Mathematics Schools (ATM School) organized by National Centre of Mathematics, A joint Centre of IIT Bombay and TIFR Mumbai, held at IISER Pune, India.
  • Attended National Training Programme on Research Methodology under Faculty Development Centre at IIT(ISM), Dhanbad, Jharkhand, India.
  • Participated in Global Initiative of Network Course (GIAN-2018) on Inverse Problems in Fuzzy Approximation Spaces with Applications in Com puter Vision organized by IIT (ISM) Dhanbad, Jharkhand, India.