Areas of Interest
 Optimization theory, Duality, Support Vector Machines, Fuzzy mathematical programming
Professional Background
From  Period  Position  Organisation 

20140404  Ongoing  Associate Professor  IIT Roorkee 
20121220  1 year 3 months 14 days  Assistant Professor  IIT Roorkee 
20081229  3 years 11 months 20 days  Assistant Professor  IIT Patna 
20060628  2 years 6 months 1 day  Assistant Professor  Thapar University, Patiala 
Multiple Posts
From  Period  Position  Organisation 

20170505  3 years 4 months 12 days  O.C. Xerox and Stationary  IIT Roorkee 
20130814  4 years 2 days  O. C. Store  IIT Roorkee 
Honors and Awards
Award  Institute  Year 

Outstanding teacher award, (UG category for B.Tech first year)  IIT Roorkee  2018 
Best teacher award  IIT Patna  2010 
ASHESH memorial medal  IIT Roorkee  2002 
GATE  MHRD  2002 
UGCJRF  UGC  2001 
Best theoretical paper award  44th Annual Convention of Operational Research Society of India  2012 
Educational Details
Degree  Subject  University  Year 

PhD  Optimization theory  IIT Roorkee  2008 
M.Sc.  Applied Mathematics  IIT Roorkee  2002 
B. Sc.  Physics, Chemistry, Mathematics  HNB Garhwal University, Srinagar  1999 
Sponsored Research Projects
Topic  Funding Agency  Start Date  Period 

Formulation and developing solution methodologies of various optimization models under uncertainty with application..  UCOST  20210402  1 year 11 months 29 days 
Optimality conditions and duality relations for a class of nonlinear multiple objective optimization problems..  King Fahd University of Petroleum and Minerals, Saudi Arabia  20170401  2 years 
Memberships
 Operational Research Society of India, Member
 Working group on generalized convexity, Member
Teaching Engagements
Title  Course Code  Class Name  Semester 

MathematicsI  MAN001  B. Tech.  Autumn 
MathematicsII  MAN002  B. Tech.  Spring 
Optimization Techniques  MAN010  B. Tech.  Spring 
Operations Research  MAN613  MSc  Autumn 
Nonlinear Programming  MAN506  Integrated M.Sc  Spring 
Advanced Operations Research  MAN657  M.Sc.  Spring 
Linear Algebra  MAN101  B. Tech.  Spring 
Optimization Techniques  MAN501E  M. Tech.  Autumn 
PHDs Supervised
Topic  Scholar Name  Status of PHD  Registration Date 

Duality in mathematical programming under generalized convexity  Dr. N. Kailey  A  200805 
On duality in nonlinear optimization problems under crisp and fuzzy environment  Dr. Debasis Dangar  A  200901 
Optimality conditions and duality relations for some nonlinear programming problems  Dr. Ramu Dubey  A  201306 
On efficiency and duality for some vector optimization problems  Dr. Indra Priyadarshni  A  201301 
Modelling and optimization of various problems in uncertain environments with applications  Dr. Sumati Mahajan  A  201706 
Support vector machines and optimization  Ms. Scindhiya Laxmi  O  201612 
Formulation and developing solution methodologies of various optimization problems with uncertain data  Ms. Manisha Malik  O  201806 
Semiinfinite programming problems: Optimality and duality relations  Mrs. Tamanna Yadav  O  201810 
Modelling and analysis of various portfolio optimization models  Ms. Vrinda Dhingra  O  201812 
Multiattribute Decision Making Problems with applications  Manish Kumar  O  201907 
Robust twin support vector regression  Yash Arora  O  202007 
Visits to outside institutions
Institute Visited  Purpose of Visit  Date 

AIT, Thailand  Short term seconded faculty  20190807 
Hajdúszoboszló, Hungary  To deliver a talk  20170827 
Brisbane, Queesland, Australia  To present a paper  20131227 
Participation in short term courses
Couse Name  Sponsored By  Date 

Optimization theory, methods and applications  202008 
Courses or Conferences Organised
Conference Name  Sponsored By  Date 

International Conference of Recent Trends in Operations Research and Statistics  201712 
Teaching outside Institute
1. Teaching a course "Operations Research" at IIM Udaipur from September 2021 to December 2021.
2. Short term seconded faculty at Asian Institute of Technology, Bangkok from August 2019 to December 2019.
NPTEL courses conducted

Mathematical Methods and its applications–30 Hrs. (with Prof. P. N. Agrawal)

Nonlinear Programming—10 Hrs.

Multivariable Calculus– 20 Hrs. (with Prof. Sanjeev Kumar)

Matrix Analysis with Applications–20 Hrs (with Prof. Sanjeev Kumar)

Essential Mathematics for Machine learning30 Hrs (with Prof. Sanjeev Kumar).
Refereed Journal Papers
1. Scindhiya Laxmi, S. K. Gupta, Sumit Kumar, Intuitionistic fuzzy proximal support vector machine for multicategory classification problems, Soft Computing, Soft Computing (2021) https://doi.org/10.1007/s00500021061933 (Impact factor: 3.050, JCR rank: Q2)
2. Sumati Mahajan, S. K. Gupta, On inexact quadratic programming problems involving mixed terms with an application to tea industry, Computers and Industrial Engineering, accepted for publication, 156 (2021) 107264 (Impact factor: 4.135, JCR rank: Q1)
3. Sumati Mahajan, S. K. Gupta, On optimistic, pessimistic and mixed approaches under different membership functions for fully intuitionistic fuzzy multiobjective nonlinear programming problems, Expert Systems with Applications, 168 (2021), Article 114309 (Impact factor: 5.452, JCR rank: Q1)
4. Sumati Mahajan, S. K. Gupta, On fully intuitionistic fuzzy multiobjective transportation problems using different membership functions, Annals of Operations Research, 296 (2021), 211241 (Impact factor: 2.583, JCR rank: Q2)
5. Sumati Mahajan, S. K. Gupta, Development and analysis of a sustainable garbage disposal model for environmental management under uncertainty, Science of Total Environment, 709 (2020), Article 135037 (Impact factor: 6.551, JCR rank: Q1)
6. Scindhiya Laxmi, S. K. Gupta, Intuitionistic Fuzzy proximal support vector machines for pattern classification, Neural Processing Letters, 51 (2020), 2701–2735 (Impact factor: 2.891, JCR rank: Q2)
7. Manisha Malik, S. K. Gupta, Goal programming technique for solving fully intervalvalued intuitionistic fuzzy multiple objective transportation problems, Soft Computing, 24 (2020), 13955–13977 (Impact factor: 3.050, JCR rank: Q2)
8. Izhar Ahmad, S. K. Gupta, Bhupedra K. Mishra, Invex and quasiinvex NCP functions and their properties, Maejo International Journal of Science and Technology, 14 (2020), 177183 (Impact factor: 0.326, JCR rank: Q4)
9. Sumati Mahajan, S. K. Gupta, Methods to solve QPPs with fuzzy parameters and fuzzy variables, Journal of Intelligent & Fuzzy Systems, 37 (2019), 2757–2767 (Impact factor: 1.851, JCR rank: Q3)
10. I. P. Debnath, S. K. Gupta, The KarushKuhnTucker conditions for multiple objective fractional interval valued optimization problems, RAIROOPERATONS RESEARCH, 54 (2019), 11611188 (Impact factor: 1.025, JCR rank: Q4)
11. S. K. Gupta, D. Dangar, I. Ahmad, S. AlHomidan, A fuzzy multiple objective nonlinear optimization problem and its duality results, Journal of Intelligent & Fuzzy Systems, 36 (2019), 13611373 (Impact factor: 1.851, JCR rank: Q3)
12. I. P. Debnath, S. K. Gupta, Exponential membership function and duality gaps for Ifuzzy linear programming problems, Iranian Journal of Fuzzy Systems, 16 (2019), 147163 (Impact factor: 2.276, JCR rank: Q1)
13. Ramu Dubey, S. K. Gupta, On duality for a secondorder multiobjective fractional programming problem involving typeI functions, Georgian Mathematical Journal, 26 (2019), 393404 (Impact factor: 0.5, JCR rank: Q4)
14. Indira P. Debanth, S. K. Gupta, Necessary and sufficient optimality conditions for fractional interval valued optimization problems, Decision Science in action, (2019), 155173
15. I. P. Debnath, S. K. Gupta, Higher order duality relations for multiobjective fractional problems involving support functions, Bulletin of the Malaysian Mathematical Society, 42 (2019), 12551279 (Impact factor: 0.856, JCR rank: Q2)
16. Indira P. Debnath and S.K. Gupta, Duality for the class of a multiobjective problem with support functions under KG_{f} invexity, Bulletin of the Iranian Mathematical Society, 43 (2017), 22332258 (Impact factor: 0.357, JCR rank: Q4)
17. Indira P. Debnath and S.K. Gupta, Efficiency and duality for a vector of quotients of curvilinear functionals on the first order jet bundle. Optimal Control, Applications and Methods, 38 (2017), 12271238 (Impact factor: 1.252, JCR rank: Q3)
18. I. P. Debanth, S. K. Gupta, D. Dangar, Remarks on duality for second order minimax fractional programming with B(p,r) invex functions, Opsearch, 55 (2017), 196201 (Impact factor: 0.36, Scimago: Q2)
19. Indira P. Debnath, S.K. Gupta, I. Ahmad, A note on strong duality theorem for a multiobjective higher order nondifferentiable symmetric dual programs. Opsearch, 2016, 53(1), 151156. (Impact factor: 0.36, Scimago: Q2)
20. Sarita Sharma, S.K. Gupta, HigherorderVinvexity and duality for vector optimization problems, Rendiconti del Circolo Matematico di Palermo, 65 (2016) 351364 (Impact factor: 0.3, Scimago: Q3)
21. S. K. Gupta, D. Dangar, Generalized multiobjective symmetric duality under secondorder (F, alpha, rho, d)convexity, Acta Mathematicae Applicatae Sinica, English Series, 31 (2015), 1–14 (Impact factor: 0.618, JCR rank: Q4)
22. Ramu Dubey, S. K. Gupta, M.A. Khan, Optimality and duality results for a nondifferentiable multiobjective fractional programming problems, Journal of Inequalities and Applications, 2015:354 (Impact factor: 1.470, JCR rank: Q2)
23. Indira P. Debnath, S. K. Gupta, S. Kumar, Symmetric duality for a higher order nondifferentiable multiobjective programming problem, Journal of Inequalities and Applications, 2015:3 (Impact factor: 1.470, JCR rank: Q2)
24. S. K. Gupta, D. Dangar, N. Kailey, S. Kumar, SecondOrder nondifferentiable multiobjective mixed symmetric dual programs over cones, Journal of Mathematical Modelling and Algorithms in Operations Research, 14 (2015), 103–123 (Impact factor: 0.36, Scimago: Q3)
25. B. Dutta, S. K. Gupta, On nash equibrium strategy of twoperson zero sum games with trapezoidal fuzzy payoffs, Fuzzy Information and Engineering 6 (2014), 299314 (Impact factor: 0.27, Scimago: Q2)
26. S. K. Gupta, D. Dangar, Duality for a class of fuzzy nonlinear optimization problem under generalized convexity, Fuzzy Optimization and Decision Making, 13 (2014) 131–150, (DOI 10.1007/s1070001391767) (Impact factor: 4.319, JCR rank: Q1)
27. S. K. Gupta, D. Dangar, On secondorder duality for nondifferentiable minimax fractional programming, Journal of Computational and Applied Mathematics, 255 (2014), 878–886 (Impact factor: 2.037, JCR rank: Q1)
28. N. Kailey, S. K. Gupta, Duality for mixed secondorder programs with multiple arguments, Filomat, 28 (2014), 397–410 (Impact factor: 0.848, JCR rank: Q3)
29. S. K. Gupta, D. Dangar, I. Ahmad, On second order duality for nondifferentiable minimax fractional programming problems involving typeI functions, ANZIAM Journal, 55 (EMAC2013) (2014) C 479–C494 (Impact factor: 0.581, JCR rank: Q4)
30. S. K. Gupta, N. Kailey, Secondorder multiobjective symmetric duality involving conebonvex functions, Journal of Global Optimization, 55 (2013), 125140 (Impact factor: 1.805, JCR rank: Q3)
31. N. Kailey, S. K. Gupta, Duality for a class of symmetric nondifferentiable mutliobjective fractional variational problems with generalized (F, alpha, rho, d)convexity, Mathematical and Computer Modeling, 57 (2013), 14531465 (Impact factor: 1.366, JCR rank (2015): Q1)
32. D. Dangar, S. K. Gupta, On secondorder duality for a class of nondifferentiable minimax fractional programming problem with (C, alpha, rho, d)convexity, Journal of Applied Mathematics and Computing, 43 (2013), 11–30 (Impact factor: 1.242, JCR rank: Q1)
33. S. K. Gupta, N. Kailey, Multiobjective secondorder mixed symmetric duality with a square root term, Applied Mathematics and Computation, 218 (2012), 76027613 (Impact factor: 3.472, JCR rank: Q1)
34. S. K. Gupta, D. Dangar, Duality for secondorder symmetric multiobjective programming with cone constraints, International Journal of Mathematics in Operational Research ,4 (2012), 128151
35. N. Kailey, S. K. Gupta, Nondifferentiable secondorder mixed symmetric duality with cone constraints, Maejo International Journal of Science and Technology, 6 (2012), 356371 (Impact factor: 0.326, JCR rank: Q4)
36. S. K. Gupta, N. Kailey, S. Kumar, Duality for nondifferentiable multiobjective higherorder symmetric programs over cones involving generalized (F, alpha, rho, d)convexity, Journal of inequalities and applications, 298 (2012), 116, doi:10.1186/1029242X2012298 (Impact factor: 1.470, JCR rank: Q2)
37. S. K. Gupta, D. Dangar, S. Kumar, Secondorder duality for a nondifferentiable minimax fractional programming under generalized αunivexity, Journal of Inequalities and Applications, 2012:187 (31 August 2012) (Impact factor: 1.470, JCR rank: Q2)
38. S. K. Gupta, N. Kailey, Nondifferentiable multiobjective secondorder symmetric duality, Optimization Letters, 5 (2011), 125139 (Impact factor: 1.502, JCR rank: Q2)
39. T. R. Gulati, S. K. Gupta, Nondifferentiable secondorder minimax mixed integer symmetric duality, Journal of the Korean Mathematical Society, 48 (2011), 1321 (Impact factor: 0.63, JCR rank: Q3)
40. S. K. Gupta, N. Kailey, M. K. Sharma, MondWeir type nondifferentiable multiobjective secondorder symmetric duality with cone constraints, International Journal of Mathematics in Operational Research, 3 (2011), 414 – 430
41. T. R. Gulati, Geeta, S. K. Gupta, Nondifferentiable multiobjective symmetric dual programs over cones, Nonlinear Analysis: Theory, Methods & Applications, 74 (2011), 38613869 (Impact factor: 1.587, JCR rank: Q1)
42. Ravi P. Agarwal, Izhar Ahmad, S. K. Gupta, A note on higherorder nondifferentiable symmetric duality in multiobjective programming, Applied Mathematics Letters, 24 (2011), 13081311 (Impact factor: 3.848, JCR rank: Q1)
43. Ravi P. Agarwal, Izhar Ahmad, S. K. Gupta, N. Kailey, Generalized SecondOrder Mixed Symmetric Duality in Nondifferentiable Mathematical Programming, Abstract and Applied Analysis, 2011 (2011), Article ID 103597, 14 pages (Impact factor: 1.274, JCR rank (2013): Q1)
44. N. Kailey, S. K. Gupta, D. Dangar, Mixed second order symmetric duality with cone constraints, Nonlinear Analysis: Real World Applications, 12 (2011) 33733383 (Impact factor: 2.072, JCR rank: Q1)
45. I. Ahmad, S. K. Gupta, Anurag Jayswal, On sufficiency and duality for nonsmooth multiobjective programming problems involving generalized V–rinvex functions, Nonlinear Analysis: Theory, Methods & Applications, 74 (2011), 59205928 (Impact factor: 1.587, JCR rank: Q1)
46. I. Ahmad, S. K. Gupta, N. Kailey, R. P. Agarwal, Duality in nondifferentiable minimax fractional programming with B(p, r)invexity, Journal of Inequalities and Applications, 2011:75 (30 September 2011), (Impact factor: 1.470, JCR rank: Q2)
47. S. K. Gupta, N. Kailey, A note on multiobjective symmetric duality, European Journal of Operational Research, 201 (2010), 649651 (Impact factor: 4.213, JCR rank: Q1)
48. T. R. Gulati, H. Saini, S. K. Gupta, Secondorder multiobjective symmetric duality with cone constraints, European Journal of Operational Research, 205 (2010) 247–252 (Impact factor: 4.213, JCR rank: Q1)
49. S. K. Gupta, N. Kailey, M. K. Sharma, Multiobjective second order nondifferentiable symmetric duality involving convex functions, Journal of Applied Mathematics and Informatics, 28 (2010) 13951408
50. S. K. Gupta, N. Kailey, M. K. Sharma, Higherorder (F, alpha, rho, d)convexity and symmetric duality in multiobjective programming, Computers and Mathematics with Applications 60 (2010), 2373–2381 (Impact factor: 3.370, JCR rank: Q1)
51. S. K. Gupta, Anurag Jaiswal, Multiobjective higherorder symmetric duality involving generalized coneinvex functions, Computers and Mathematics with Applications 60 (2010) 31873192 (Impact factor: 3.370, JCR rank: Q1)
52. S. K. Gupta, Debasis Dangar, Duality in fuzzy quadratic programming with exponential membership functions, Fuzzy Information and Engineering, 4 (2010), 327336 (Impact factor: 0.27, Scimago: Q2)
53. T. R. Gulati, S. K. Gupta, Higherorder symmetric duality with cone constraints, Applied Mathematics Letters, 22 (2009), 776781 (Impact factor: 3.848, JCR rank: Q1)
54. T. R. Gulati, S. K. Gupta, I. Ahmad, Secondorder symmetric duality with cone constraints, Journal of Computational and Applied Mathematics, 220 (2008), 347354 (Impact factor: 2.037, JCR rank: Q1)
55. T. R. Gulati, S. K. Gupta, Higher order symmetric duality with generalized Fconvexity, Journal of Mathematical Analysis and Applications, 329 (2007) 229237 (Impact factor: 1.220, JCR rank: Q1)
56. T. R. Gulati, S. K. Gupta, Secondorder minimax mixed integer symmetric duality, International Journal of Operation Research, 4 (2007), 18 (Impact factor: 0.32, Scimago: Q3)
57. T. R. Gulati, S. K. Gupta, A note on Mond Weir type symmetric duality, AsiaPacific Journal of Operational Research, 24 (2007), 73774 (Impact factor: 0.757, JCR rank: Q4)
58. T. R. Gulati, S. K. Gupta, Wolfe type secondorder symmetric duality in nondifferentiable programming, Journal of Mathematical Analysis and Applications, 310 (2005), 247253 (Impact factor: 1.220, JCR rank: Q1)