JIIT

Academic Experts

Dr. Diksha Gupta

ASSISTANT PROFESSOR(GRADE I)

Biography

2017-2023, Ph.D.,

Department of Mathematical Sciences,

Indian Institute of Technology (BHU), Varanasi

Current Status:

Ph.D. awarded and currently working as an Assistant Professor Grade I at Jaypee Institute of

Information Technology, Noida.

Research Supervisor: Prof. Tanmoy Som.

2015– 2017 M.Sc. in Mathematics

University of Allahabad, U.P., India, 80.86%

2012 – 2015 B.Sc. in Mathematics

University of Allahabad, U.P., India, 69.78%

2012 Senior Secondary, 12th

Uttar Pradesh Board, 81.8%

2010 Matriculation, 10th

Uttar Pradesh Board, 77.67%

Research Highlights

A point-wise description of Ph.D. work is given below:

Three variable reference function
S-type space fuzzy points
Same and inverse points with respect to two continuous S-type space fuzzy points
- Fuzzy distance between two continuous S-type space fuzzy points
- Space fuzzy line segments
- Space fuzzy lines and skew fuzzy lines
- Shortest distance between two skew fuzzy lines
- Fuzzy planes
- Fuzzy spheres
- Fuzzy cones and fuzzy conics
All the proposed ideas are supported with suitable algorithms and numerical examples.
A technique, namely fuzzy Hough transform, to detect fuzzy lines and fuzzy circles in image space.

Areas Of Interest

Publications

D. Ghosh, Diksha Gupta, T. Som “Analytical fuzzy space geometry I”, has been published in the journal “Fuzzy Sets and Systems”, 421(2021), 77-110.
D. Ghosh, Diksha Gupta, and T. Som, “Analytical fuzzy space geometry II”, has been published in the journal “Fuzzy Sets and Systems ”459(2023), 144-181.
Diksha Gupta, D. Ghosh, and T. Som, “A study on fuzzy sphere and fuzzy cone ”has been published in the journal “Information Sciences, 675 (2024), DOI: https://doi.org/10.1016/j.ins.2024.120755 ”.
Diksha Gupta, H. Kohli, and T. Som “A study on generalized Hough transform for detecting fuzzy lines ”has been published in the 12th international conference “SocPros 2023”, held at IIT Roorkee. Book title ’Proceedings of the 12th International Conference on Soft Computing for Problem Solving’, Book subtitle ’SocProS 2023, Volume 1’, Series title ’Lecture Notes in Networks and Systems’, Publisher ’Springer Singapore’ Series ISSN ’2367-3370’, 15-32.