Dr. Mausumi Sen

mausumi

Professor
Email:  mausumi[at]math[dot]nits[dot]ac[dot]in | senmausumi[at]gmail[dot]com
Date of Joining: 02/06/2006
Academic/Industrial Experience: 16+ years
Scopus ID: 45161620700
Google Scholar: Click Here
 
 
 
 

 

 

 

 

 

 

 

 

 

ACADEMIC QUALIFICATIONS

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

AREA OF INTEREST AND SPECIALIZATION

  • Linear Algebra
  • Inverse Eigenvalue Problem
  • Functional Analysis
  • Integral Equation
  • Integro-Differential Equation
  • Fuzzy Set Theory and Fuzzy Optimization
  • Sequence Spaces and Summability Theory

PROJECTS

Title: A study on measure theoretical approach to convergence of sequences in probabilistic normed spaces,

Funding Agency – DST (SERB), Government of India

Status – Completed.

SUBJECTS TAUGHT

  • Real Analysis
  • Functional Analysis
  • Discrete Mathematical Structure
  • Linear Algebra
  • Fuzzy sets and Fuzzy logic

ADMINISTRATIVE RESPONSIBILITY

  • Warden of Girl’s Hostel 1 from 2009 to 2012
  • Warden of Girl’s Hostel 2 from 2009 to 2012
  • Coordinator of Research Promotional Cell from 2012 to 2015
  • Chairperson (Complaint Committee of Harassment of women at work places) from 2013 to 2015
  • Associate Dean (R&C) from 2015 to 2018
  • Member Secretary (ICC) from 2015 to 2018
  • Chairman of Institute Fellowship Enhancement Committee from 2015 to 2017
  • Nodal Officer of Rashtriya Avishkar Abhiyan from Assam state
  • HoD, Department of Mathematics, NIT Silchar from 2018 to 2021
  • Departmental Scrutiny member TEQIP-II and III
  • Associate Dean (SW) from 01-11-2021

INTERNATIONAL JOURNALS

  1. Biplab Singha, Mausumi Sen, Nidul Sinha, Dhiman Dutta: A new hesitant fuzzy rule-based system for ranking hydro power plant site selection, New Mathematics and Natural Computation(accepted) https://doi.org/10.1142/S1793005722500223
  2. Saha, D., Sen, M.: Solution of a generalized two dimensional fractional integral equation International Journal of Nonlinear Analysis and Applications, 2021, 12(1), pp. 481–492 (scopus)
  3. Sharma, D., Sen, M.:The minimax inverse eigenvalue problem for matrices whose graph is a generalized star of depth 2, Linear Algebra and Its Applications, 2021, 621, pp. 334–344(SCIE)
  4. N. Sarkar, M. Sen, D. Saha: A New Approach for Numerical Solution of Singularly Perturbed VolterraIntegro- Differential Equation, Design Engineering, 2021, 7, 9629-9641(scopus)
  5. D. Saha, M. Sen: Existence criteria and solution search by the analytic technique of functional integral equation, J integral equations and applications, 2021, 33(2), 247-257. (SCIE)
  6. Dutta, D., Sen, M., Deshpande, A., Singha, B.: A new method for solving multi-criteria multi-attributes decision making based on the ranking of type-2 fuzzy variables, International Journal of Fuzzy System Applications, 2021, 10(1), pp. 20–42(scopus)
  7. Singha, B., Sen, M., Sinha, N.: Modified distance measure on hesitant fuzzy sets and its application in multi-criteria decision making problem, OPSEARCH, 2020, 57(2), 584–602 (scopus)
  8. M. Sen, M. Et : Lacunary Statistical and Lacunary Strongly Convergence of Generalized Difference Sequences in Intuitionistic Fuzzy Normed Linear Spaces, Bol. Soc. Paran. Mat., 38, 1 2020, 117–129.(scopus)
  9. Dutta, Dhiman & Sen, Mausumi & Singha, Biplab. (2020). Multi-item multi-objective fixed charged solid transportation problem with type-2 fuzzy variables. Proyecciones , 2020, 39. 621-637. (scopus)
  10. Sarkar, N., Sen, M., Saha, D.: Solution of non linear Fredholm integral equation involving constant delay by BEM with piecewise linear approximation, Journal of Interdisciplinary Mathematics, 2020, 23(2), 537–544(scopus)
  11. Saha, D., Sen, M., Sarkar, N., Saha, S.: Existence of a solution in the holder space for a nonlinear functional integral equation, Armenian Journal of Mathematics, 2020, 12(7), 1–8 (scopus)
  12. Sen, M., Haloi, R., Tripathy, B.C. : μ-Statistically convergent function sequences in probabilistic normed linear spaces, Proyecciones, 2019, 38(5), 1039–1056 (scopus)
  13. M. Sen, D. Saha, R.P. Agarwal, A Darbo fixed point theory approach towards the existence of a functional integral equation in a Banach algebra, Appl Math & Computation, 358, 111–118, 2019.(SCIE)
  14. D. Dutta and M. Sen, Type-2 Fuzzy Equivalence Relation on A Groupoid under Balanced and Semibalanced Maps, Journal of Informatics and Mathematical Sciences, 2018, 10, no1 & 2, 133–151.
  15. D. Sarma, M. Sen: Inverse Eigenvalue Problems with Partial Eigen Data for Acyclic Matrices whose Graph is a Broom, Kyungpook Math. J. , 2017, 57, 211-222 (SCOPUS)
  16. M. Sen, B.C. Tripathy and S. Nath :Best approximation in quotient probabilistic normed space, Journal of Applied Analysis, 2017, 23(1), 53-57 DOI: https://doi.org/10.1515/jaa-2017-0008. (Scopus)
  17. M. Sen, D. Dutta, A. Deshpande: Type-2 fuzzy G-tolerance relation and its properties, International Journal of Analysis and Applications, 15( 2) (2017), 172-178. (ESCI)
  18. D. Sarma, M. Sen: Inverse eigenvalue problems for acyclic matrices whose graph is a dense centipede, Spec. Matrices (De Gruyter) 2018; 6:77–92 (SCOPUS)
  19. Haloi, R., Sen, M., Tripathy, B.C.: Statistically lacunary convergence of generalized difference sequences in probabilistic normed spaces, Applied Sciences, 2019, 21, 107–118 (scopus)
  20. D.Dutta, M. Sen: A new method for solving multi-item multi-objective solid fixed charged shipment model with type-2 fuzzy variables, Global and Stochastic Analysis, 2017,Vol. 4 No. 1, January , 35-47. (SCOPUS)
  21. L N Mishra, M. Sen : On the concept of existence and local attractivity of solutions for some quadratic Volterra integral equation of fractional order, Appl Math & Computation, (Elsevier), 285 (2016), 174-183.
  22. R N Mohapatra, LN Mishra, M. Sen: On existence theorems for some generalized nonlinear functional-integral, Filomat, 2017, 31:7 , 2081–2091 DOI 10.2298/FIL1707081N(SCIE) Filomat
  23. L N Mishra, H. M. Srivastava, M. Sen: Existence Results for Some Nonlinear Functional-Integral Equations in Banach Algebra with Applications, International Journal of Analysis and Applications , 11(1)(2016), 1-10.
  24. LN Mishra, R P Agarwal, M. Sen: Solvability and asymptotic behavior for some nonlinear quadratic integral equation involving Erd´elyi-Kober fractional integrals on the unbounded interval, Progress in Fractional Differentiation and Applications 2 (3) (2016), 153-168.
  25. D. Sarma, M. Sen: Inverse Eigenvalue Problems for Two Special Acyclic Matrices, J. Mathematics, 2016, 4, 12; doi:10.3390/math4010012, 1-11.
  26. M. Sen, B.C. Tripathy and S. Nath :Lacunary I-convergence in probabilistic n-normed space, Journal of the Egyptian Mathematical Society,23(2015), 90-94.
  27. B.C. Tripathy, M. Sen : On lacunary strongly almost convergent double sequences of fuzzy numbers, Annals of the University of Craiova, Mathematics and Computer Science Series, 42(2) (2015), 254-259.
  28. M. Sen, D. Sarma: Generalized inverse eigenvalue problem for matrices whose graph is a path, Linear Algebra and its Applications, 446(2014), 224–236.
  29. P. Debnath, M. Sen : Some results of calculus for functions having values in an intuitionistic fuzzy n-normed linear space, Journal of Intelligent and Fuzzy Systems, DOI:10.3233/IFS-130964
  30. S. Roy, M. Sen: Some I-convergent multiplier double classes of sequences of fuzzy numbers defined by Orlicz functions.Journal of Intelligent and Fuzzy Systems,26(1) (2014), 431-437
  31. M. Sen, S. Roy : On paranormed type fuzzy real valued I- convergent double multiplier sequences; Kuwait J. of Sc. 40(1)(2013), 1-12
  32. M. Sen : On I-Limit Superior and I-Limit Inferior of Sequences in Intuitionistic Fuzzy Normed Spaces,IJCA, ,85(3)(2014), 30-33.
  33. M. Sen, S. Roy : Some I- convergent double classes of sequences of fuzzy numbers defined by Orlicz functions, Thai J. of math. , 11(1) (2013), 111–120
  34. P. Debnath, M. Sen: Some completeness results in terms of infinite series and quotient spaces in intuitionistic fuzzy n-normed linear spaces,Journal of Intelligent and Fuzzy Systems 26(2) (2014), 975-982
  35. M. Sen, B.C. Tripathy: On Fuzzy I-convergent Difference Sequence Spaces, Journal of Intelligent and Fuzzy Systems,25(3)(2013), 643-647.
  36. B.C. Tripathy, M. Sen, and S. Nath :I-Limit Superior and I-Limit Inferior of Sequences in Probabilistic Normed Space, International J. of Modern Math. Sciences, 7(1)2013,1-11.
  37. A. H. Ganie, N.A. Sheikh, M. Sen :The Difference Sequence Space Defined by Orlicz Functions, International J. of Modern Math. Sciences, 6(3) (2013), 151-159.
  38. M. Sen, P.Debnath :Best approximation in intuitionistic fuzzy n-normed linear spaces, Journal of Nonlinear Analysis and Optimization: Theory and Applications, 3(1)(2012), 45-53.
  39. M. Sen and P. Debnath :Lacunary statistical convergence in intuitionistic fuzzy n-normed linear spaces, Mathematical and Computer Modelling , 54 (2011), 2978-2985
  40. M. Sen, B.C. Tripathy and S. Nath :I-convergence in probabilistic n-normed space, Soft Computing, 16(6) (2012), 1021-1027
  41. M. Sen and P.Debnath :Statistical convergence in intuitionistic fuzzy n-normed linear spaces; Fuzzy Information and Engineering, Springer, 3(3) (2011), 259-273.
  42. M. Sen, P.Debnath : A remark on the separability and approximation property in intuitionistic fuzzy n-normed linear spaces, International Mathematical Forum, 6(39)(2011), 1933 – 1940.
  43. M. Sen and S. Roy: On Paranormed Type Fuzzy Real Valued Class of Sequences ; Kyungpook Math. J., 51(2011), 345-352.
  44. M. Sen : On I-limit superior and I-limit inferior of sequences of fuzzy numbers, Fasciculi Math., 43 (2010), 139-145.
  45. M. Sen, B.C. Tripathy: Vector valued paranormed spaces associated with multiplier sequences, Fasciculi Math., 39(2008), 125-133.
  46. M. Sen and B.C. Tripathy: On fuzzy real-valued I-convergent sequences, Jour. Fuzzy Math., 16(1)(2008), 91-99.
  47. M. Sen, B.C. Tripathy: On a class of statistically null vector valued sequences associated with multiplier sequences; International Journal of Sci. Tech., 1(1) (2006), 19-24.
  48. M. Sen, B.C. Tripathy: Characterization of some matrix classes involving paranormed sequence spaces, Tamkang Jour. Math., 37(2)(2006), 155-162.
  49. M. Sen, B.C. Tripathy: On a class of sequences related to the p-normed space ; Journal of Beijing Univ. Technology, 31(5)(2005), 553-556.
  50. M. Sen, B.C. Tripathy: A note on rate of convergence of sequences and density of subsets of natural numbers, Italian Jour. Pure & Appl. Math., 17(2005), 151-158.
  51. M. Sen, B.C. Tripathy: Vector valued paranormed bounded and null sequences associated with multiplier sequences, Soochow Jour. Math., 29(3) (2003), 313–325
  52. M. Sen, B.C. Tripathy : On a new class of sequences related to the space , Tamkang Jour. Math, 33(2) (2002), 167-171.


 

NATIONAL JOURNALS

  1. B. Singha, M. Sen, N. Sinha : Distance and Similarity Measures Including New Hesitant Degree on Hesitant Fuzzy Set, International Journal of Recent Technology and Engineering, Volume-8 (4), 2019.
  2. Tripathy, B.C., Sen, M., Nath, S.: On Generalized Difference Ideal Convergence in Generalized Probabilistic n-normed Spaces, Proceedings of the National Academy of Sciences India Section A – Physical Sciences, 2021, 91(1), pp. 29–34 (SCIE)
  3. Dutta, D., Sen, M., Deshpande, A.: Generalized Type-2 Fuzzy Equivalence Relation, Proceedings of the National Academy of Sciences India Section A – Physical Sciences, 2020, 92(1), 1-8.(SCIE)
  4. M. Sen, S. Roy: On fuzzy real valued – convergent double sequence spaces, Far East Journal of Mathematical Sciences, 53(1) ( 2011), 1 – 16.
  5. M. Sen, P.Debnath : Ideal convergence in intuitionistic fuzzy n-normed linear spaces, Advances in fuzzy sets and systems, 7 (2)( 2010), 61 – 81.
  6. M. Sen, B.C. Tripathy: A note on absolute summability factors; Far East Jour. Math. Sci., 3(4)(2001), 609 – 614.
  7. B. C. Tripathy, M. Sen : On generalized statistically convergent sequences ,Indian Jour. Pure Appl. Math.,32(11) (2001), 1689 –1694.

 

Ph.D. SCHOLARS

1. Santanu Roy: Generalized fuzzy real valued double sequence spaces (2013)

2. Pradip Debnath: A study on intuitionistic fuzzy n normed linear spaces (2013)

3. Soumitra Nath: A Study on Probabilistic Normed Spaces (2014)

4. Debashish Sharma: Inverse eigenvalue problems for some special acyclic matrices (2017)

5. Lakshmi Narayan Mishra: On existence and behavior of solutions to some nonlinear integral equations with applications (2017)

6. Lakhimi Nath: Livelihood Pattern of Women and their Level of Empowerment : An Empirical Study of Nagaon District of Assam (From Assam University, Silchar) (2017)

7. Dhiman Dutta: A study of Type-2 Fuzzy Sets, Relations and their Applications(2019)

8. Rupam Haloi: Measure Theoretical Approach to Convergence of Sequences in Probabilistic Normed Spaces (2021)

9. Dipankar Saha: Fixed Point Theory approach for the existence and stability of the solution of some Nonlinear Functional Integral Equation

10. Biplab Singha: A study of uncertainty methods and their applications in decision making and image processing.

PG SCHOLARS

1. Beauty Roy (2015) : A review on fuzzy transportation problems

2. Saykat Dutta (2016) : A new method for solving generalized intuitionistic fuzzy linear programming problem

3. Saumitra Acharjee (2017) : A survey in inverse eigenvalue problem

4. Nirmal Kumar Singha (2018): Numerical solution of Fredholm integral equation of second kind with Toeplitz plus Hankel kernel using weighted mean value theorem for integrals

5. Manajer Kumar Rana (2019) : Numerical solution of Abel’s integral equation by using Lagrange collocation method

6. Pratiksha Jadli (2021) : A novel hybridized collocation method for second order integro differential equation