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Shiv Kumar Gupta
Associate Professor
s.gupta[at]ma.iitr.ac.in
+91-1332-285379
Research Interests

Biosketch
Educational Details
Professional Background

Research
Projects
Publications
Patents
Books
Collaborations

Honours and Awards
Honors
Memberships

Teaching Engagements
Teaching Engagements

Students
Supervisions
Associate Scholars

Miscellaneous
Events
Visits
Administrative Positions
Miscellaneous
Research Interests
Optimization theory, Non-smooth optimization, Support Vector Machines, Optimization under uncertainity
BioSketch
Educational Details
IIT Roorkee
2008
PhD, Optimization theory
IIT Roorkee
2002
M.Sc., Applied Mathematics
HNB Garhwal University, Srinagar
1999
B. Sc., Physics, Chemistry, Mathematics
Professional Background
Associate Professor
04 Apr 2014 - Present
IIT Roorkee
Assistant Professor
20 Dec 2012 - 03 Apr 2014
IIT Roorkee
Assistant Professor
29 Dec 2008 - 19 Dec 2012
IIT Patna
Assistant Professor
28 Jun 2006 - 29 Dec 2008
Thapar University, Patiala
Research
Projects
TOPIC START DATE FIELD DESCRIPTION FINANCIAL OUTLAY FUNDING AGENCY OTHER OFFICERS
Formulation and developing solution methodologies of various optimization models under uncertainty with application.. 02 Apr 2021 Operations Research 1.61L UCOST
Optimality conditions and duality relations for a class of nonlinear multiple objective optimization problems.. 01 Apr 2017 Operations Research 4000 SR King Fahd University of Petroleum and Minerals, Saudi Arabia




Publications

      

1. Scindhiya Laxmi, S. K. Gupta, Sumit Kumar, Intuitionistic fuzzy least square twin support vector machines for pattern classification, Annals of Operations Research, (2022), (JCR rank: Q1)

2. Scindhiya Laxmi, S. K. Gupta, Multi-category intuitionistic fuzzy twin support vector machines with an application to plant leaf recognition, Engineering Applications of Artificial Intelligence, 110 (2022) 104687 (JCR rank: Q1)

3. 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/s00500-021-06193-3 (Impact factor: 3.050, JCR rank: Q2)

4.   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)

5.        Sumati Mahajan, S. K. Gupta, On optimistic, pessimistic and mixed approaches under different membership functions for fully intuitionistic fuzzy multi-objective nonlinear programming problems, Expert Systems with Applications, 168 (2021), Article 114309 (Impact factor: 5.452, JCR rank: Q1)

6.        Sumati Mahajan, S. K. Gupta, On fully intuitionistic fuzzy multiobjective transportation problems using different membership functions, Annals of Operations Research, 296 (2021), 211-241 (Impact factor: 2.583, JCR rank: Q2)

7.        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)

8.        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)

9.     Manisha Malik, S. K. Gupta, Goal programming technique for solving fully interval-valued intuitionistic fuzzy multiple objective transportation problems, Soft Computing, 24 (2020), 13955–13977 (Impact factor: 3.050, JCR rank: Q2)

10.      Izhar Ahmad, S. K. Gupta, Bhupedra K. Mishra, Invex and quasi-invex NCP functions and their properties, Maejo International Journal of Science and Technology, 14 (2020), 177-183 (Impact factor: 0.326, JCR rank: Q4)

11.        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)

12.   I. P. Debnath, S. K. Gupta, The Karush-Kuhn-Tucker conditions for multiple objective fractional interval valued optimization problems, RAIRO-OPERATONS RESEARCH, 54 (2019), 1161-1188 (Impact factor: 1.025, JCR rank: Q4)

13.     S. K. Gupta, D. Dangar, I. Ahmad, S. Al-Homidan, A fuzzy multiple objective nonlinear optimization problem and its duality results, Journal of Intelligent & Fuzzy Systems, 36 (2019), 1361-1373 (Impact factor: 1.851, JCR rank: Q3)

14. I. P. Debnath, S. K. Gupta, Exponential membership function and duality gaps for I-fuzzy linear programming problems, Iranian Journal of Fuzzy Systems, 16 (2019), 147-163 (Impact factor: 2.276, JCR rank: Q1)

15.     Ramu Dubey, S. K. Gupta, On duality for a second-order multiobjective fractional programming problem involving type-I functions, Georgian Mathematical Journal, 26 (2019), 393-404 (Impact factor: 0.5, JCR rank: Q4)

16.     Indira P. Debanth, S. K. Gupta, Necessary and sufficient optimality conditions for fractional interval valued optimization problems, Decision Science in action, (2019), 155-173

17.     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), 1255-1279 (Impact factor: 0.856, JCR rank: Q2)

18.     Indira P. Debnath and S.K. Gupta, Duality for the class of a multiobjective problem with support functions under K-Gf invexity, Bulletin of the Iranian Mathematical Society, 43 (2017), 2233-2258 (Impact factor: 0.357, JCR rank: Q4)

19.     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), 1227-1238 (Impact factor: 1.252, JCR rank: Q3)

20.     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), 196-201 (Impact factor: 0.36, Scimago: Q2)

21.    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), 151-156. (Impact factor: 0.36, Scimago: Q2)

22.     Sarita Sharma, S.K. Gupta, Higher-order-V-invexity and duality for vector optimization problems, Rendiconti del Circolo Matematico di Palermo, 65 (2016) 351-364 (Impact factor: 0.3, Scimago: Q3)

23. S. K. Gupta, D. Dangar, Generalized multiobjective symmetric duality under second-order (F, alpha, rho, d)-convexity, Acta Mathematicae Applicatae Sinica, English Series, 31 (2015), 1–14 (Impact factor: 0.618, JCR rank: Q4)

24.     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)

25.     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)

26.     S. K. Gupta, D. Dangar, N. Kailey, S. Kumar, Second-Order 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)

27.     B. Dutta, S. K. Gupta, On nash equibrium strategy of two-person zero sum games with trapezoidal fuzzy payoffs, Fuzzy Information and Engineering 6 (2014), 299-314 (Impact factor: 0.27, Scimago: Q2)

28.     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/s10700-013-9176-7) (Impact factor: 4.319, JCR rank: Q1)

29.     S. K. Gupta, D. Dangar, On second-order duality for nondifferentiable minimax fractional programming, Journal of Computational and Applied Mathematics, 255 (2014), 878–886 (Impact factor: 2.037, JCR rank: Q1)

30.     N. Kailey, S. K. Gupta, Duality for mixed second-order programs with multiple arguments, Filomat, 28 (2014), 397–410 (Impact factor: 0.848, JCR rank: Q3)

31.    S. K. Gupta, D. Dangar, I. Ahmad, On second order duality for nondifferentiable minimax fractional programming problems involving type-I functions, ANZIAM Journal, 55 (EMAC2013) (2014) C 479–C494 (Impact factor: 0.581, JCR rank: Q4)

32.    S. K. Gupta, N. Kailey, Second-order multiobjective symmetric duality involving cone-bonvex functions, Journal of Global Optimization, 55 (2013), 125-140 (Impact factor: 1.805, JCR rank: Q3)

33.     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), 1453-1465 (Impact factor: 1.366, JCR rank (2015): Q1)

34.     D. Dangar, S.  K.  Gupta, On second-order 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)

35.   S. K. Gupta, N. Kailey, Multiobjective second-order mixed symmetric duality with a square root term, Applied Mathematics and Computation, 218 (2012), 7602-7613 (Impact factor: 3.472, JCR rank: Q1)

36. S. K. Gupta, D. Dangar, Duality for second-order symmetric multiobjective programming with cone constraints, International Journal of Mathematics in Operational Research ,4 (2012), 128-151

37.     N. Kailey, S. K. Gupta, Nondifferentiable second-order mixed symmetric duality with cone constraints, Maejo International Journal of Science and Technology, 6 (2012), 356-371 (Impact factor: 0.326, JCR rank: Q4)

38. S. K. Gupta, N. Kailey, S. Kumar, Duality for nondifferentiable multiobjective higher-order symmetric programs over cones involving generalized (F, alpha, rho, d)-convexity, Journal of inequalities and applications, 298 (2012), 1-16, doi:10.1186/1029-242X-2012-298 (Impact factor: 1.470, JCR rank: Q2)

39.     S. K. Gupta, D. Dangar, S. Kumar, Second-order duality for a nondifferentiable minimax fractional programming under generalized α-univexity, Journal of Inequalities and Applications, 2012:187 (31 August 2012) (Impact factor: 1.470, JCR rank: Q2)

40.     S. K. Gupta, N. Kailey, Nondifferentiable multiobjective second-order symmetric duality, Optimization Letters, 5 (2011), 125-139 (Impact factor: 1.502, JCR rank: Q2)

41.     T. R. Gulati, S. K. Gupta, Nondifferentiable second-order minimax mixed integer symmetric duality, Journal of the Korean Mathematical Society, 48 (2011), 13-21 (Impact factor: 0.63, JCR rank: Q3)

42.     S. K. Gupta, N. Kailey, M. K. Sharma, Mond-Weir type nondifferentiable multiobjective second-order symmetric duality with cone constraints, International Journal of Mathematics in Operational Research, 3 (2011), 414 – 430

43. T. R.  Gulati, Geeta, S. K. Gupta, Nondifferentiable multiobjective symmetric dual programs over cones, Nonlinear Analysis: Theory, Methods & Applications, 74 (2011), 3861-3869 (Impact factor: 1.587, JCR rank: Q1)

44.     Ravi P. Agarwal, Izhar Ahmad, S. K. Gupta, A note on higher-order nondifferentiable symmetric duality in multiobjective programming, Applied Mathematics Letters, 24 (2011), 1308-1311 (Impact factor: 3.848, JCR rank: Q1)

45.     Ravi P. Agarwal, Izhar Ahmad, S. K. Gupta, N. Kailey, Generalized Second-Order 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)

46.     N. Kailey, S. K. Gupta, D. Dangar, Mixed second order symmetric duality with cone constraints, Nonlinear Analysis: Real World Applications, 12 (2011) 3373-3383 (Impact factor: 2.072, JCR rank: Q1)

47.     I. Ahmad, S. K. Gupta, Anurag Jayswal, On sufficiency and duality for non-smooth multiobjective programming problems involving generalized V–r-invex functions, Nonlinear Analysis: Theory, Methods & Applications, 74 (2011), 5920-5928 (Impact factor: 1.587, JCR rank: Q1)

48.     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)

49.     S. K. Gupta, N. Kailey, A note on multiobjective symmetric duality, European Journal of Operational Research, 201 (2010), 649-651 (Impact factor: 4.213, JCR rank: Q1)

50.     T. R. Gulati, H. Saini, S. K. Gupta, Second-order multiobjective symmetric duality with cone constraints, European Journal of Operational Research, 205 (2010) 247–252 (Impact factor: 4.213, JCR rank: Q1)

51.     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) 1395-1408

52.     S. K. Gupta, N. Kailey, M. K. Sharma, Higher-order (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)

53.     S. K. Gupta, Anurag Jaiswal, Multiobjective higher-order symmetric duality involving generalized cone-invex functions, Computers and Mathematics with Applications 60 (2010) 3187-3192  (Impact factor: 3.370, JCR rank: Q1)

54.     S. K. Gupta, Debasis Dangar, Duality in fuzzy quadratic programming with exponential membership functions, Fuzzy Information and Engineering, 4 (2010), 327-336 (Impact factor: 0.27, Scimago: Q2)

55.     T. R. Gulati, S. K. Gupta, Higher-order symmetric duality with cone constraints, Applied Mathematics Letters, 22 (2009), 776-781 (Impact factor: 3.848, JCR rank: Q1)

56.     T. R. Gulati, S. K. Gupta, I. Ahmad, Second-order symmetric duality with cone constraints, Journal of Computational and Applied Mathematics, 220 (2008), 347-354 (Impact factor: 2.037, JCR rank: Q1)

57.     T. R. Gulati, S. K. Gupta, Higher order symmetric duality with generalized F-convexity, Journal of Mathematical Analysis and Applications, 329 (2007) 229-237 (Impact factor: 1.220, JCR rank: Q1)  

58.     T. R. Gulati, S. K. Gupta, Second-order minimax mixed integer symmetric duality, International Journal of Operation Research, 4 (2007), 1-8 (Impact factor: 0.32, Scimago: Q3)

59.     T. R. Gulati, S. K. Gupta, A note on Mond Weir type symmetric duality, Asia-Pacific Journal of Operational Research, 24 (2007), 737-74 (Impact factor: 0.757, JCR rank: Q4)     

60.     T. R. Gulati, S. K. Gupta, Wolfe type second-order symmetric duality in nondifferentiable programming, Journal of Mathematical Analysis and Applications, 310 (2005), 247-253 (Impact factor: 1.220, JCR rank: Q1)  

Honors And Awards
Honors
IIT Roorkee
2022
Prof. Bal Krishna Outstanding Teacher award-2022
IIT Roorkee
2018
Outstanding Teacher Award, (UG category for B.Tech first year)
IIT Patna
2010
Best Teacher Award
IIT Roorkee
2002
ASHESH memorial medal
MHRD
2002
GATE
44th Annual Convention of Operational Research Society of India
2012
Best theoretical paper award
UGC
2001
UGC-JRF
MemberShips
Operational Research Society of India
14 May 2008 - Present
Member
Working group on generalized convexity
15 May 2006 - Present
Member
Teaching Engagements
Teaching Engagements
Mathematics-I ( MAN-001 )
Autumn
Mathematics-II ( MAN-002 )
Spring
Optimization Techniques ( MAN-010 )
Spring
Operations Research ( MAN-613 )
Autumn
Nonlinear Programming ( MAN-506 )
Spring
Advanced Operations Research ( MAN-657 )
Spring
Linear Algebra ( MAN-101 )
Spring
Optimization Techniques ( MAN-501E )
Autumn
Students
SuperVisions
Duality in mathematical programming under generalized convexity
06 May 2008 - 04 Apr 2011
Other Supervisors: Dr. M. K. Sharma, Scholar: Dr. N. Kailey
On duality in nonlinear optimization problems under crisp and fuzzy environment
01 Jan 2009 - 07 May 2013
Other Supervisors: , Scholar: Dr. Debasis Dangar
Optimality conditions and duality relations for some nonlinear programming problems
12 Jun 2013 - 09 Aug 2017
Other Supervisors: , Scholar: Dr. Ramu Dubey
On efficiency and duality for some vector optimization problems
01 Jan 2013 - 07 Aug 2018
Other Supervisors: , Scholar: Dr. Indra Priyadarshni
Modelling and optimization of various problems in uncertain environments with applications
20 Jun 2017 - 20 Jun 2020
Other Supervisors: , Scholar: Dr. Sumati Mahajan
Proximal and Twin Fuzzy Support Vector Machines for Pattern Classification using mathematical programming approach
27 Dec 2016 - 24 Jun 2022
Other Supervisors: , Scholar: Ms. Scindhiya Laxmi
Developing solution methodologies for different optimization problems under uncertainty with applications
19 Jun 2018 - 04 Apr 2023
Other Supervisors: , Scholar: Ms. Manisha Malik
Semi-infinite programming problems: Optimality and duality relations
22 Oct 2018 - Present
Other Supervisors: , Scholar: Mrs. Tamanna Yadav
Multi-attribute Decision Making Problems with applications
15 Jul 2019 - Present
Other Supervisors: , Scholar: Manish Kumar
Robust twin support vector regression
16 Jul 2020 - Present
Other Supervisors: , Scholar: Yash Arora
Miscellaneous
Events
Optimization theory, methods and applications
18 Aug 2020 - 20 Aug 2020
International Conference of Recent Trends in Operations Research and Statistics
28 Dec 2017 - 30 Dec 2017
Visits
AIT, Thailand
2019-08-07
Short term seconded faculty
Hajdúszoboszló, Hungary
2017-08-27
To deliver a talk
Brisbane, Queesland, Australia
2013-12-27
To present a paper
Administrative Positions
O.C. Xerox and Stationary
05 May 2017 - 17 Sep 2020
IIT Roorkee
Vice-Chairman, JEE (Advanced) -2023
01 Aug 2022 - 31 Jul 2023
IIT Roorkee
O. C. Store
14 Aug 2013 - 16 Aug 2017
IIT Roorkee
Teaching outside Institute

1. Taught 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 learning-30 Hrs (with Prof. Sanjeev Kumar).