Dr. Juthika Mahanta


Assistant Professor
Email:  juthika[at]math[dot]nits[dot]ac[dot]in | mahanta[dot]juthika[at]gmail[dot]com
Date of Joining: 13/01/2015
Academic/Industrial Experience: 7+ years
Scopus ID: 56300831700

Google Scholar: Click Here









  • M.Sc. from Gauhati University
  • Ph.D. from NERIST


  • Fuzzy Topology
  • Fuzzy set theory and its application
  • Generalized set theory


  • 2013 : Ph.D. from NERIST, a deemed university, under HRD Ministry on Govt. of India. Thesis Title: “A STUDY ON SOME TOPOLOGICAL ASPECTS OF FUZZY SETS :
  • M.Sc. and B. Ed from Gauhati University, Assam.  
  • B.Sc. from Cotton College, Guwahati (known as Centre of Excellence of the North East India), Assam.  
  • Schooling from JNV Morigaon, Assam.  


  • MA-101: Mathematics-I
  • MA-102: Mathematics-II
  • MA-201: Mathematics-III
  • Real Analysis
  • Functional Analysis
  • Linear Algebra
  • Topology


  • Associate Warden, Girls Hostel.
  • ICC, Member.


  1. N. Kumar and J. Mahanta, 2024, “A matrix norm-based Pythagorean fuzzy metric and its application in MEREC-SWARA-VIKOR framework for solar panel selection”, Applied Soft Computing Journal. (Accepted)
  2. S. Jana, A. Patel and J. Mahanta, 2024, “Decomposition of a Pythagorean fuzzy topological space and its application in determining topological relations between indeterminate spatial objects”, Journal of Fuzzy Extension and Applications. (Accepted)
  3. S. Jana, A. Patel and J. Mahanta, 2024, “Deriving fuzzy topological relations from incomplete observations”, Journal of Geographical Systems. https://doi.org/10.1007/s10109-023-00432-x.
  4. J. Patowary, A. Patel, S. Jana and J. Mahanta, 2024, “A novel distance measure for intuitionistic fuzzy sets and its application in pattern classification, medical diagnosis, and career determination”, Int. J. of Computing Science and Mathematics. DOI: 10.1504/IJCSM.2023.10059831.
  5. S. Jana, A. Patel and J. Mahanta, 2023, “A Quantitative Fuzzy-Valued Intersection Matrix for Obtaining Fuzzy Relationships Between Vague Spatial Objects”, Decision Analytics Journal, 9 (2023) 100353.
  6. A. Patel, S. Jana and J. Mahanta, 2023, “Construction of Similarity Measure for Intuitionistic Fuzzy Sets and Its Application In Face Recognition and Software Quality Evaluation”, Expert Systems With Applications, Volume 237, Part B, 1 March 2024, 121491.
  7. N. Kumar, A. Patel, and J. Mahanta, 2023, “K-L divergence based distance measure for Pythagorean fuzzy sets with various applications”, Journal of Experimental & Theoretical Artificial Intelligence, https://doi.org/10.1080/0952813X.2023.2240813
  8. A. Patel, S.Jana and J. Mahanta, 2023, “Intuitionistic fuzzy EM-SWARA TOPSIS approach based on new distance measure to assess the medical waste treatment techniques”, Applied Soft Computing, Volume 144, September, 110521.
  9. S. Jana, J. Mahanta, 2022, “Boundary of a fuzzy set and its application in GIS: a review”, Artif Intell Rev. https://doi.org/10.1007/s10462-022-10331-0.
  10. A. Patel, N. Kumar, J. Mahanta, 2022, “A 3D distance measure for intuitionistic fuzzy sets and its application in pattern recognition and decision-making problems”, New mathematics and natural computation, Vol. 19, No. 02, pp. 447-472 (2023).
  11. J. Mahanta, S. Panda, 2021, “Distance measure for Pythagorean fuzzy sets with varied applications”, Neural Computing and Applications. https://doi.org/10.1007/s00521-021-06308-9.
  12. J Mahanta, S Panda, 2021, “A novel distance measure for intuitionistic fuzzy sets with diverse applications”, International Journal of Intelligent Systems 36 (2), 615-627.
  13. J Mahanta, S Panda, 2020, “Fuzzy expert system for prediction of prostate cancer”, New Mathematics and Natural Computation 16 (01), 163-176.
  14. J Mahanta, PK Das, 2017, “Fuzzy soft topological spaces”, Journal of Intelligent & Fuzzy Systems 32 (1), 443-450
  15. D Das, J Mahanta, 2016, “Boundary and exterior of a multiset topology”, Journal of New Theory, 75-84.
  16. J. Mahanta, 2015, Semiopen and semiclosed sets in fuzzy soft topological spaces, Annals of fuzzy mathematics and informatics, 9(1), 161-167.
  17. J. Mahanta, P. K. Das, 2014, On soft topological spaces via semi open and semi closed soft sets Kyungpook Math. J., (54), 221-236.
  18. J. Mahanta, P. K. Das, 2014, On Fuzzy Boundary, The Journal of Fuzzy Mathematics, 22(1), 197-201.
  19. J. Mahanta, 2013, A note on Changs and Lowens Fuzzy Topology, MR International Journal of Engineering and Technology, (5:2), 42-43
  20. J. Mahanta, P. K. Das, 2013, On fuzzy weakly-closed sets, International Journal of Mathematical, Computational, Physical and Quantum Engineering, (7:2), 61-66
  21. J. Mahanta, P. K. Das, 2012, On fuzzy g*s-closed sets, International Journal of Computer Applications, (43:2), 17-21
  22. J. Mahanta, P. K. Das, 2011, A New Type of Covering Based Rough Set, IFRSA International Journal of Data Warehousing & Mining, (1:1), 16-19.
  23. J. Mahanta, P. K. Das, 2011, Topological Properties of Yaos Rough Set, International Journal of Mathematical and Computer Sciences, (7:2), 44-46. 


  1. 1. A. Patel, S. Lemtur, J. Mahanta, “A novel distance measure for intuitionistic fuzzy sets with its application in pattern classification and decision-making”, 2nd International Conference on Applied Mathematics in Science and Engineering.
  2. S. Jana, J. Mahanta, “On Regular Fuzzy boundary”, 2nd International Conference on Applied Mathematics in Science and Engineering, 060001-1–060001-7 (2023).
  3. A. Patel, S. Jana, J. Mahanta, “Two new 3D distance measures for IFSs and their applications in pattern classification and pathological diagnosis”, IEEE Silchar subsection, 1-6 (2022).
  4. S. Jana, J. Mahanta, “Intuitionistic fuzzy 9 intersection matrix for obtaining the relationship between indeterminate objects”, 7th International Conference on Information System Design and Intelligent Applications (INDIA – 2022) 25-26 February 2022, BVRIT-H College of Engineering for Women Hyderabad, Telangana, India. (Awarded best paper)
  5. J. Mahanta and P.K. Das, “Further Study on Topological Rough Sets”, In Proc. International Conference on Artificial Intelligence and Soft Computing-2011”, IIMT, Bhubaneswar, Odisha, 9th -10th April 2011.
  6. J. Mahanta and P.K. Das, “Further results on fuzzy g*s-closed sets”, Presented in International Conference on Recent Advances in Mathematics (ICRAM 2014), Department of Mathematics, Rastrasant Tukadoji Maharaj Nagpur University, 20th -23rd January, 2014.
  7. J. Mahanta and P.K. Das, “On some generalized fuzzy continuous functions”, in 4th International Conference on Soft Computing for Problem Solving, 2014”, National Institute of Technology Silchar, Assam, 27th -29th December, 2014. 


  1. J. Mahanta, “A note on Chang’s and Lowen’s Fuzzy Topology”, Presented in NATIONAL CONFERENCE ON RECENT TRENDS IN MATHEMATICAL MODELING & SOFT COMPUTING TECHNIQUES, Organised by Department of Mathematics, Manav Rachna International University, Faridabad, 29th March 2014 .
  2. J. Mahanta, “On fuzzy weakly continuous functions”, Presented in NATIONAL CONFERENCE ON RECENT TRENDS IN MATHEMATICAL SCIENCE RESEARCH” at Assam University, Silchar, 5th -6th September, 2014.


  1. N. Kumar, J. Mahanta (2023). Pythagorean fuzzy distance measure with hesitancy degree and application in decision making. In A handbook on emerging trends in Mathematical sciences and computing, Nova Science Publishers, USA.
  2. A. Patel, S. Jana, J. Mahanta (2023). Prostate Cancer Risk Analysis Using Artificial Neural Network. In Soft Computing: Theories and Applications, Springer, Singapore
  3. S. Jana, J. Mahanta, (2023). Intuitionistic Fuzzy 9 Intersection Matrix for Obtaining the Relationship Between Indeterminate Objects. In: Bhateja, V., Sunitha, K.V.N., Chen, YW., Zhang, YD. (eds) Intelligent System Design. Lecture Notes in Networks and Systems, vol 494. Springer, Singapore. https://doi.org/10.1007/978-981-19-4863-3_16.
  4. J. Mahanta, P.K. Das Chapter Title: Some Generalized Fuzzy Continuous Functions, Book Title: Proceedings of Fourth International Conference on Soft Computing for Problem Solving Series Title: Advances in Intelligent Systems and Computing Series Volume: 336, Series ISSN: 2194-5357, Publisher: Springer India.
  5. Juthika Mahanta, Topological structures of certain generalized sets, Scholars Press, ISBN 978-3-639-71560-6.