**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**

- 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
- 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)
- 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)
- 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)
- 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)
- 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)
- 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)
- 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)
- 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)
- 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)
- 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)
- Sen, M., Haloi, R., Tripathy, B.C. : μ-Statistically convergent function sequences in probabilistic normed linear spaces, Proyecciones, 2019, 38(5), 1039–1056 (scopus)
- 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)
- 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.
- 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)
- 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)
- 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)
- 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)
- 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)
- 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)
- 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.
- 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
- 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.
- 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.
- D. Sarma, M. Sen: Inverse Eigenvalue Problems for Two Special Acyclic Matrices, J. Mathematics, 2016, 4, 12; doi:10.3390/math4010012, 1-11.
- 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.
- 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.
- M. Sen, D. Sarma: Generalized inverse eigenvalue problem for matrices whose graph is a path, Linear Algebra and its Applications, 446(2014), 224–236.
- 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
- 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
- M. Sen, S. Roy : On paranormed type fuzzy real valued I- convergent double multiplier sequences; Kuwait J. of Sc. 40(1)(2013), 1-12
- M. Sen : On I-Limit Superior and I-Limit Inferior of Sequences in Intuitionistic Fuzzy Normed Spaces,IJCA, ,85(3)(2014), 30-33.
- 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
- 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
- M. Sen, B.C. Tripathy: On Fuzzy I-convergent Difference Sequence Spaces, Journal of Intelligent and Fuzzy Systems,25(3)(2013), 643-647.
- 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.
- 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.
- 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.
- M. Sen and P. Debnath :Lacunary statistical convergence in intuitionistic fuzzy n-normed linear spaces, Mathematical and Computer Modelling , 54 (2011), 2978-2985
- M. Sen, B.C. Tripathy and S. Nath :I-convergence in probabilistic n-normed space, Soft Computing, 16(6) (2012), 1021-1027
- M. Sen and P.Debnath :Statistical convergence in intuitionistic fuzzy n-normed linear spaces; Fuzzy Information and Engineering, Springer, 3(3) (2011), 259-273.
- 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.
- M. Sen and S. Roy: On Paranormed Type Fuzzy Real Valued Class of Sequences ; Kyungpook Math. J., 51(2011), 345-352.
- M. Sen : On I-limit superior and I-limit inferior of sequences of fuzzy numbers, Fasciculi Math., 43 (2010), 139-145.
- M. Sen, B.C. Tripathy: Vector valued paranormed spaces associated with multiplier sequences, Fasciculi Math., 39(2008), 125-133.
- M. Sen and B.C. Tripathy: On fuzzy real-valued I-convergent sequences, Jour. Fuzzy Math., 16(1)(2008), 91-99.
- 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.
- M. Sen, B.C. Tripathy: Characterization of some matrix classes involving paranormed sequence spaces, Tamkang Jour. Math., 37(2)(2006), 155-162.
- 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.
- 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.
- M. Sen, B.C. Tripathy: Vector valued paranormed bounded and null sequences associated with multiplier sequences, Soochow Jour. Math., 29(3) (2003), 313–325
- M. Sen, B.C. Tripathy : On a new class of sequences related to the space , Tamkang Jour. Math, 33(2) (2002), 167-171.

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**NATIONAL JOURNALS**

- 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.
- 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)
- 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)
- M. Sen, S. Roy: On fuzzy real valued – convergent double sequence spaces, Far East Journal of Mathematical Sciences, 53(1) ( 2011), 1 – 16.
- M. Sen, P.Debnath : Ideal convergence in intuitionistic fuzzy n-normed linear spaces, Advances in fuzzy sets and systems, 7 (2)( 2010), 61 – 81.
- M. Sen, B.C. Tripathy: A note on absolute summability factors; Far East Jour. Math. Sci., 3(4)(2001), 609 – 614.
- 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