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Shiv Kumar Gupta
Professor
s.gupta[at]ma.iitr.ac.in
Department of Mathematics, IIT Roorkee
+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
Professor
18 Mar 2025 - Present
IIT Roorkee, Roorkee, Uttarakhand, India
Associate Professor
04 Apr 2014 - 17 Mar 2025
IIT Roorkee, Roorkee, Uttarakhand, India
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
Karush-Kuhn-Tucker optimality conditions and duality for semi-inifinite programming problems. 01 Mar 2024 Mathematical Programming 6.60L ANRF, India
Developing solution algorithms and optimality analaysis for semi-infinite optimization problems having vanishing constraints 02 Aug 2023 Mathematical Programming 3.53L DAE, Mumbai, India
An Application of Artificial Intelligence In Elementary Mathematics Education 02 May 2022 Operations Research 1.02l MYLQ PVT. LTD. (Chevayur Kozhikode, India
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
Class probability and polycentric fuzzy least squares twin support vector machine for imbalanced data
2026
Nikita Grewal, Yash Arora, S. K. Gupta, Sanjeev Kumar | Springer
Journal: Knowledge and Information Systems
On approximate solutions for non-smooth semi-infinite programming problems having vanishing constraints
2026
Bishal Biswas, Tamanna Yadav, S.K. Gupta | Elsevier
Journal: Journal of Computational and Applied Mathematics Pages: 117765 , Volumes: 487 ,
A robust multi-view support vector machine with the RoBoSS loss function
2026
Yash Arora, S.K. Gupta, M. Tanveer | Elsevier
Journal: Neural Networks Pages: 108937 , Volumes: 201 ,
Granular ball twin bounded support vector machine with generalized pinball loss
2026
Nikita Grewal, S.K. Gupta, Sanjeev Kumar | Elsevier
Journal: Information Sciences Pages: 123557 , Volumes: 751 ,
Learning to solve many-to-many pickup and delivery problems with multi-head heterogeneous attention
2026
Bihareelal Meghwal, Manu Kumar Gupta, S. K. Gupta | IEEE
Journal: IEEE Transactions on Intelligent Transportation Systems Pages: 9915-9928 , Volumes: 27(8) ,
A robust twin support vector machine with huberized hinge loss function with an application in handwritten digit recognition
2026
Yash Arora, Scindhiya Laxmi, S. K. Gupta | Springer
Journal: Pattern Analysis and Applications Pages: 58 , Volumes: 29(2) ,
A two-step risk parity strategy using markov chain driven asset ranking
2026
Vrinda Dhingra, Amita Sharma, S. K. Gupta | Springer
Journal: OR Spectrum Pages: 20090 ,
Robust optimality and duality relations for multiobjective semi-infinite equilibrium problems having vanishing constraints with uncertain data
2026
Bishal Biswas, S. K. Gupta, I. Ahmad | Springer
Journal: Computational and Applied Mathematics Pages: 237 , Volumes: 45(6) ,
On m, n-rung orthopair Z-numbers and its application to design a transport system for a smart city
2025
Manish Kumar, S. K. Gupta | Springer
Journal: Soft Computing Pages: 5541-5570 , Volumes: 29(19) ,
A novel relative density and non-membership-based intuitionistic fuzzy twin SVM for class imbalance learning
2025
Yash Arora, S. K. Gupta, S. Li | IEEE
Journal: IEEE Transactions on Fuzzy Systems Pages: 3795-3807 , Volumes: 33(10) ,
Generalized bell fuzzy proximal twin support vector machine for multi-class classification
2025
Nikita Grewal, Yash Arora, S. K. Gupta, Sanjeev Kumar | IEEE
Journal: 2025 IEEE International Conference on Fuzzy Systems (FUZZ), Reims, France Pages: 46174 ,
Approximate mixed type duality for semi-infinite programs having equilibrium constraints
2025
Tamanna Yadav, S. K. Gupta, Bishal Biswas | Elsevier
Journal: Operations Research Letters Pages: 107324 , Volumes: 62 ,
Approximate optimality conditions and duality results for non-smooth semi-infinite programming problems
2025
Tamanna Yadav, S. K. Gupta | Taylor & Francis
Journal: Optimization Pages: 1247-1271 , Volumes: 74(6) ,
On optimistic, pessimistic and mixed fuzzy-programming based approaches to solve multi-objective fully intuitionistic fuzzy linear fractional programming problems
2025
Manisha Malik, S.K. Gupta | Springer
Journal: Annals of Operations Research Pages: 1399-1443 , Volumes: 346(2) ,
Optimality and duality relations for multiobjective fractional semi-infinite optimization problems with equilibrium constraints
2025
Bishal Biswas, S. K. Gupta | Springer
Journal: Journal of Applied Mathematics and Computing Pages: 4667-4695 , Volumes: 71(4) ,
Brain tumor classification using weighted least square twin support vector machine with fuzzy hyperplane
2024
Yash Arora, S. K. Gupta | Elsevier
Journal: Engineering Applications of Artificial Intelligence Pages: 109450 , Volumes: 138 ,
Intuitionistic fuzzy twin proximal SVM with fuzzy hyperplane and its application in EEG signal classification
2024
Yash Arora, S. K. Gupta | Elsevier
Journal: Applied Soft Computing Pages: 111816 , Volumes: 163 ,
Optimality analysis and duality conditions for a class of conic semi-infinite program having vanishing constraints
2024
Tamanna Yadav, S. K. Gupta, Sumit Kumar | Springer
Journal: Annals of Operations Research Pages: 1091-1123 , Volumes: 340(2) ,
Optimality and duality analysis for multiobjective interval-valued semi-infinite optimization problem having vanishing constraints
2024
Tamanna Yadav, S. K. Gupta | Springer
Journal: Computational and Applied Mathematics Pages: 56 , Volumes: 43 ,
E-optimality and E-duality results for fractional semi-infinite optimization problems having equilibrium constraints
2024
Tamanna Yadav, S. K. Gupta | Springer
Journal: OPSEARCH Pages: 44927 ,
On basic arithmetic operations for interval-valued intuitionistic fuzzy sets using the Hamming distance with their application in decision making
2024
Manisha Malik, S.K. Gupta | Elsevier
Journal: Expert Systems with Applications Pages: 122429 , Volumes: 239 ,
On fuzzy fractional quadratic programming problems with an application in the tourism sector
2024
Sumati Mahajan, S.K. Gupta, Izhar Ahmad | Elsevier
Journal: Applied Soft Computing Pages: 111069 , Volumes: 150 ,
Developing a TOPSIS algorithm for Q-rung orthopair Z-numbers with applications in decision making
2024
Manish Kumar, S.K. Gupta | Springer
Journal: International Journal of System Assurance Engineering and Management Pages: 3117-3135 , Volumes: 15(7) ,
A comprehensive evaluation of constrained mean-expectile portfolios with short selling
2024
Vrinda Dhingra, Amita Sharma, S. K. Gupta | Springer
Journal: Annals of Operations Research Pages: 50771 ,
On Pareto optimality using novel goal programming approach for fully intuitionistic fuzzy multiobjective quadratic problems
2024
Sumati Mahajan, Abhishek Chauhan, S.K. Gupta | Elsevier
Journal: Expert Systems with Applications Pages: 122816 , Volumes: 243 ,
An empirical study of robust mean-variance portfolios with short selling
2024
Vrinda Dhingra, S. K. Gupta | Springer
Journal: Computational Economics Pages: 1943-1968 , Volumes: 66(3) ,
Sectoral portfolio optimization by judicious selection of financial ratios via PCA
2023
Vrinda Dhingra, Amita Sharma, S. K. Gupta | Springer
Journal: Optimization and Engineering Pages: 1431-1468 , Volumes: 25(3) ,
Developing solution algorithm for LR-type fully interval-valued intuitionistic fuzzy linear programming problems using lexicographic-ranking method
2023
Manisha Malik, S. K. Gupta, Manuel Arana-Jiménez | Springer
Journal: Computational and Applied Mathematics Pages: 274 , Volumes: 42(6) ,
Human activity recognition using fuzzy proximal support vector machine for multicategory classification
2023
Scindhiya Laxmi, S. Kumar, S.K. Gupta | Springer
Journal: Knowledge and Information Systems Pages: 4585-4611 , Volumes: 65(11) ,
Norm constrained minimum variance portfolios with short selling
2023
Vrinda Dhingra, S. K. Gupta, Amita Sharma | Springer
Journal: Computational Management Science Pages: 6 , Volumes: 20(1) ,
Multicriteria decision-making based on the confidence level Q-rung orthopair normal fuzzy aggregation operator
2023
Manish Kumar, S.K. Gupta | Springer
Journal: Granular Computing Pages: 77-96 , Volumes: 8(1) ,
Model for transmission and optimal control of anthrax involving human and animal population
2022
Assefa Denekew Zewdie, Sunita Gakkhar, S. K. Gupta | World Scientific Publishing Company
Journal: Journal of Biological Systems Pages: 605-630 , Volumes: 30(3) ,
Intuitionistic fuzzy least square twin support vector machines for pattern classification
2022
Scindhiya Laxmi, S. K. Gupta, Sumit Kumar | Springer
Journal: Annals of Operations Research Pages: 1329-1378 , Volumes: 339(3) ,
Multi-category intuitionistic fuzzy twin support vector machines with an application to plant leaf recognition
2022
Scindhiya Laxmi, S. K. Gupta | Elsevier
Journal: Engineering Applications of Artificial Intelligence Pages: 104687 , Volumes: 110 ,
An application of fully intuitionistic fuzzy multi-objective linear fractional programming problem in E-education system
2022
Manisha Malik, S.K. Gupta | Springer
Journal: International Journal of Fuzzy Systems Pages: 3544-3563 , Volumes: 24(8) ,
Intuitionistic fuzzy proximal support vector machine for multicategory classification problems
2021
Scindhiya Laxmi, S.K. Gupta, Sumit Kumar | Springer
Journal: Soft Computing Pages: 14039-14057 , Volumes: 25(22) ,
A new approach to solve fully intuitionistic fuzzy linear programming problem with unrestricted decision variables
2021
Manisha Malik, S.K. Gupta, Izhar Ahmad | Sage
Journal: Journal of Intelligent & Fuzzy Systems Pages: 6053-6066 , Volumes: 41(6) ,
On inexact quadratic programming problems involving mixed terms with an application to tea industry
2021
Sumati Mahajan, S.K. Gupta | Elsevier
Journal: Computers and Industrial Engineering Pages: 107264 , Volumes: 156 ,
Using concave optimization methods for inexact quadratic programming problems with an application to waste management
2021
Sumati Mahajan, S.K. Gupta, Izhar Ahmad, S. Al-Homidan | Springer
Journal: Journal of Inequalities and Applications Pages: 60 , Volumes: 2021(1) ,
On duality theory for multiobjective semi-infinite fractional optimization model using higher order convexity
2021
Tamanna Yadav, S.K. Gupta | EDP Sciences
Journal: RAIRO-Operations Research Pages: 1343-1370 , Volumes: 55(3) ,
On optimistic, pessimistic and mixed approaches under different membership functions for fully intuitionistic fuzzy multi-objective nonlinear programming problems
2021
Sumati Mahajan, S.K. Gupta | Elsevier
Journal: Expert Systems with Applications Pages: 114309 , Volumes: 168 ,
On fully intuitionistic fuzzy multiobjective transportation problems using different membership functions
2021
Sumati Mahajan, S.K. Gupta | Springer
Journal: Annals of Operations Research Pages: 211-241 , Volumes: 296(1) ,
Duality for multiobjective variational problems under second-order (φ, ρ)-invexity
2021
Vivek Singh, Izhar Ahmad, S.K. Gupta, S. Al-Homidan | University of Nis
Journal: Filomat Pages: 605-615 , Volumes: 35(2) ,
Development and analysis of a sustainable garbage disposal model for environmental management under uncertainty
2020
Sumati Mahajan, S.K. Gupta | Elsevier
Journal: Science of the Total Environment Pages: 135037 , Volumes: 709 ,
Intuitionistic fuzzy proximal support vector machines for pattern classification
2020
Scindhiya Laxmi, S.K. Gupta | Springer
Journal: Neural Processing Letters Pages: 2701-2735 , Volumes: 51(3) ,
Goal programming technique for solving fully interval-valued intuitionistic fuzzy multiple objective transportation problems
2020
Manisha Malik, S.K. Gupta | Springer
Journal: Soft Computing Pages: 13955-13977 , Volumes: 24(18) ,
Invex and quasi-invex NCP functions and their properties
2020
Izhar Ahmad, S.K. Gupta, Bhupendra K. Mishra | Maejo University
Journal: Maejo International Journal of Science and Technology Pages: 177-183 , Volumes: 14(1) ,
The Karush-Kuhn-Tucker conditions for multiple objective fractional interval valued optimization problems
2020
Indira P. Debnath, S.K. Gupta | EDP Sciences
Journal: RAIRO-Operations Research Pages: 1161-1188 , Volumes: 54(4) ,
Methods to solve QPPs with fuzzy parameters and fuzzy variables
2019
Sumati Mahajan, S.K. Gupta | Sage
Journal: Journal of Intelligent & Fuzzy Systems Pages: 2757-2767 , Volumes: 37(2) ,
A fuzzy multiple objective nonlinear optimization problem and its duality results
2019
S.K. Gupta, D. Dangar, I. Ahmad, S. Al-Homidan | Sage
Journal: Journal of Intelligent & Fuzzy Systems Pages: 1361-1373 , Volumes: 36(2) ,
Exponential membership function and duality gaps for I-fuzzy linear programming problems
2019
Indira P. Debnath, S.K. Gupta | University of Sistan and Baluchestan
Journal: Iranian Journal of Fuzzy Systems Pages: 147-163 , Volumes: 16(2) ,
On duality for a second-order multiobjective fractional programming problem involving type-I functions
2019
Ramu Dubey, S.K. Gupta | De Gruyter
Journal: Georgian Mathematical Journal Pages: 393-404 , Volumes: 26(3) ,
Necessary and sufficient optimality conditions for fractional interval valued optimization problems
2018
Indira P. Debnath, S.K. Gupta | Springer
Journal: Decision Science in Action: Theory and Applications of Modern Decision Analytic Optimisation Pages: 155-173 ,
Higher order duality relations for multiobjective fractional problems involving support functions
2019
Indira P. Debnath, S.K. Gupta | Springer
Journal: Bulletin of the Malaysian Mathematical Sciences Society Pages: 1255-1279 , Volumes: 42(3) ,
Duality in nonlinear programming problems under fuzzy environment with exponential membership functions
2018
S.K. Gupta, D. Dangar, I. Ahmad, S. Al-Homidan | Springer
Journal: Journal of Inequalities and Applications Pages: 218 , Volumes: 2018(1) ,
Duality for the class of a multiobjective problem with support functions under K-Gf-invexity
2017
Indira P. Debnath, S.K. Gupta | Iranian Mathematical Society
Journal: Bulletin of the Iranian Mathematical Society Pages: 2233-2258 , Volumes: 43(7) ,
Efficiency and duality for a vector of quotients of curvilinear functionals on the first-order jet bundle
2017
Indira P. Debnath, S.K. Gupta | John Wiely and Sons
Journal: Optimal Control Applications and Methods Pages: 1227-1238 , Volumes: 38(6) ,
Remarks on duality for second order minimax fractional programming with B-(p,r)-invex functions
2017
Indira P. Debnath, S. K. Gupta, D. Dangar | Springer
Journal: OPSEARCH Pages: 196-201 , Volumes: 55(1) ,
A note on strong duality theorem for a multiobjective higher order nondifferentiable symmetric dual programs
2016
Indira P. Debnath, S.K. Gupta, I. Ahmad | Springer
Journal: OPSEARCH Pages: 151-156 , Volumes: 53(1) ,
Higher-order (φ, ρ)-V-invexity and duality for vector optimization problems
2016
Sarita Sharma, S.K. Gupta | Springer
Journal: Rendiconti del Circolo Matematico di Palermo Series 2 Pages: 351-364 , Volumes: 65(3) ,
Generalized multiobjective symmetric duality under second-order (F, α, ρ, d)-convexity
2015
S.K. Gupta, D. Dangar | Springer
Journal: Acta Mathematicae Applicatae Sinica, English Series Pages: 529-542 , Volumes: 31(2) ,
Optimality and duality results for a nondifferentiable multiobjective fractional programming problems
2015
Ramu Dubey, S.K. Gupta, M.A. Khan | Springer
Journal: Journal of Inequalities and Applications Pages: 354 , Volumes: 2015(1) ,
Symmetric duality for a higher-order nondifferentiable multiobjective programming problem
2015
Indira P. Debnath, S.K. Gupta, S. Kumar | Springer
Journal: Journal of Inequalities and Applications Pages: 3 , Volumes: 2015(1) ,
Second-order nondifferentiable multiobjective mixed symmetric dual programs over cones
2015
S. K. Gupta, D. Dangar, N. Kailey, S. Kumar | Springer
Journal: Journal of Mathematical Modelling and Algorithms in Operations Research Pages: 103-123 , Volumes: 14(1) ,
On Nash equilibrium strategy of two-person zero sum games with trapezoidal fuzzy payoffs
2014
B Dutta, S. K. Gupta | Tsinghua University Press
Journal: Fuzzy Information and Engineering Pages: 299-314 , Volumes: 6(3) ,
Duality for a class of fuzzy nonlinear optimization problem under generalized convexity
2014
S.K. Gupta, D. Dangar | Springer
Journal: Fuzzy Optimization and Decision Making Pages: 131-150 , Volumes: 13(2) ,
On second-order duality for nondifferentiable minimax fractional programming
2014
S.K. Gupta, D. Dangar | Elsevier
Journal: Journal of Computational and Applied Mathematics Pages: 878-886 , Volumes: 255 ,
Duality for mixed second-order programs with multiple arguments
2014
N Kailey, S. K. Gupta | University of Nis
Journal: Filomat Pages: 397-410 , Volumes: 28(2) ,
On second order duality for nondifferentiable minimax fractional programming problems involving type-I functions
2013
S. K. Gupta, D Dangar, I Ahamd | Australian Mathematical Society
Journal: The Proceedings of ANZIAM Pages: C479-C494 , Volumes: 55 ,
Second-order multiobjective symmetric duality involving cone-bonvex functions
2013
S.K. Gupta, N. Kailey | Springer
Journal: Journal of Global Optimization Pages: 125-140 , Volumes: 55(1) ,
Duality for a class of symmetric nondifferentiable mutliobjective fractional variational problems with generalized (F, α, ρ, d)-convexity
2013
N. Kailey, S.K. Gupta | Elsevier
Journal: Mathematical and Computer Modeling Pages: 1453-1465 , Volumes: 57(5-6) ,
On second-order duality for a class of nondifferentiable minimax fractional programming problem with (C, α, ρ, d)-convexity
2013
D. Dangar, S. K. Gupta | Springer
Journal: Journal of Applied Mathematics and Computing Pages: 47788 , Volumes: 43(1) ,
Multiobjective second-order mixed symmetric duality with a square root term
2012
S.K. Gupta, N. Kailey | Elsevier
Journal: Applied Mathematics and Computation Pages: 7602-7613 , Volumes: 218(14) ,
Duality for second-order symmetric multiobjective programming with cone constraints
2012
S.K.Gupta, D. Dangar | Inderscience Publishers
Journal: International Journal of Mathematics in Operational Research Pages: 128-151 , Volumes: 4(2) ,
Non-differentiable second-order mixed symmetric duality with cone constraints
2012
N. Kailey, S.K. Gupta | Maejo University
Journal: Maejo International Journal of Science and Technology Pages: 356 , Volumes: 6(3) ,
Second-order duality for a nondifferentiable minimax fractional programming under generalized α-univexity
2012
S.K. Gupta, D. Dangar, S. Kumar | Springer
Journal: Journal of Inequalities and Applications Pages: 187 , Volumes: 2012(1) ,
Duality for nondifferentiable multiobjective higher-order symmetric programs over cones involving generalized (F, α, ρ, d)-convexity
2012
S.K. Gupta, N. Kailey, S. Kumar | Springer
Journal: Journal of Inequalities and Applications Pages: 42370 , Volumes: 2012(1) ,
Nondifferentiable multiobjective second-order symmetric duality
2011
S.K. Gupta, N. Kailey | Springer
Journal: Optimization Letters Pages: 125-139 , Volumes: 5(1) ,
Nondifferentiable second-order minimax mixed integer symmetric duality
2011
T. R. Gulati, S.K. Gupta | Korean Mathematical Society
Journal: Journal of the Korean Mathematical Society Pages: 13-21 , Volumes: 48(1) ,
Mond-Weir type nondifferentiable multiobjective second-order symmetric duality with cone constraints
2011
S.K.Gupta, N. Kailey, M. K. Sharma | Inderscience Publishers
Journal: International Journal of Mathematics in Operational Research Pages: 414-430 , Volumes: 3(4) ,
Nondifferentiable multiobjective symmetric dual programs over cones
2011
T. R. Gulati, Geeta, S.K. Gupta | Elsevier
Journal: Nonlinear Analysis: Theory, Methods & Applications Pages: 3861-3869 , Volumes: 74(12) ,
A note on higher-order nondifferentiable symmetric duality in multiobjective programming
2011
Ravi P. Agarwal, Izhar Ahmad, S.K. Gupta | Elsevier
Journal: Applied Mathematics Letters Pages: 1308-1311 , Volumes: 24(8) ,
Generalized second-order mixed symmetric duality in nondifferentiable mathematical programming
2011
Ravi P. Agarwal, Izhar Ahmad, S.K. Gupta, N. Kailey | John Wiely and Sons
Journal: Abstract and Applied Analysis Pages: 103597 , Volumes: 2011(1) ,
Mixed second-order multiobjective symmetric duality with cone constraints
2011
N. Kailey, S.K. Gupta, D. Dangar | Elsevier
Journal: Nonlinear Analysis: Real World Applications Pages: 3373-3383 , Volumes: 12(6) ,
On sufficiency and duality for nonsmooth multiobjective programming problems involving generalized V-r-invex functions
2011
I. Ahmad, S.K. Gupta, Anurag Jayswal | Elsevier
Journal: Nonlinear Analysis: Theory, Methods & Applications Pages: 5920-5928 , Volumes: 74(17) ,
Duality in nondifferentiable minimax fractional programming with B-(p, r)-invexity
2011
I. Ahmad, S.K. Gupta, N. Kailey, R. P. Agarwal | Springer
Journal: Journal of Inequalities and Applications Pages: 75 , Volumes: 2011(1) ,
A note on multiobjective second-order symmetric duality
2010
S.K. Gupta, N. Kailey | Elsevier
Journal: European Journal of Operational Research Pages: 649-651 , Volumes: 201(2) ,
Second-order multiobjective symmetric duality with cone constraints
2010
T. R. Gulati, H. Saini, S.K. Gupta | Elsevier
Journal: European Journal of Operational Research Pages: 247-252 , Volumes: 205(2) ,
Multiobjective second order nondifferentiable symmetric duality involving (F, α, ρ, d) convex functions
2010
S.K. Gupta, N. Kailey, M. K. Sharma | Korean Society for Computational and Applied Mathematics
Journal: Journal of Applied Mathematics and Informatics Pages: 1395-1408 , Volumes: 28(5) ,
Higher-order (F, α, ρ, d)-convexity and symmetric duality in multiobjective programming
2010
S.K. Gupta, N. Kailey, M. K. Sharma | Elsevier
Journal: Computers and Mathematics with Applications Pages: 2373-2381 , Volumes: 60(8) ,
Multiobjective higher-order symmetric duality involving generalized cone-invex functions
2010
S.K. Gupta, Anurag Jaiswal | Elsevier
Journal: Computers and Mathematics with Applications Pages: 3187-3192 , Volumes: 60(12) ,
Duality in fuzzy quadratic programming with exponential membership functions
2010
S.K. Gupta, D. Dangar | Tsinghua University Press
Journal: Fuzzy Information and Engineering Pages: 327-336 , Volumes: 4 ,
Higher-order symmetric duality with cone constraints
2009
T. R. Gulati, S.K. Gupta | Elsevier
Journal: Applied Mathematics Letters Pages: 776-781 , Volumes: 22(5) ,
Second-order symmetric duality with cone constraints
2008
T. R. Gulati, S.K. Gupta, I. Ahmad | Elsevier
Journal: Journal of Computational and Applied Mathematics Pages: 347-354 , Volumes: 220(1-2) ,
Higher-order nondifferentiable symmetric duality with generalized F-convexity
2007
T. R. Gulati, S.K. Gupta | Elsevier
Journal: Journal of Mathematical Analysis and Applications Pages: 229-237 , Volumes: 329(1) ,
Second-order minimax mixed integer symmetric duality
2007
T. R. Gulati, S.K. Gupta | Inderscience Publishers
Journal: International Journal of Operational Research Pages: 46235 , Volumes: 4 ,
A note on Mond Weir type symmetric duality
2007
T. R. Gulati, S.K. Gupta | World Scientific Publishing Company
Journal: Asia-Pacific Journal of Operational Research Pages: 737-740 , Volumes: 24(5) ,
Wolfe type second-order symmetric duality in nondifferentiable programming
2005
T. R. Gulati, S.K. Gupta | Elsevier
Journal: Journal of Mathematical Analysis and Applications Pages: 247-253 , Volumes: 310(1) ,
Honors And Awards
Honors
IIT Roorkee, India
2024
Bestowal of Excellence in Teaching Award (under UG category)
IIT Roorkee
2022
Prof. Bal Krishna Outstanding Teacher award-2022
IIT Roorkee
2018
Outstanding Teacher Award, (UG category for B.Tech first year)
44th Annual Convention of Operational Research Society of India
2012
Best theoretical paper award
IIT Patna
2010
Best Teacher Award
IIT Roorkee
2002
ASHESH memorial medal
MHRD
2002
GATE
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: Prof. 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
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
Modelling and optimization of various problems in uncertain environments with applications
20 Jun 2017 - 20 Jun 2020
Other Supervisors: , Scholar: Dr. Sumati Mahajan
Developing solution methodologies for different optimization problems under uncertainty with applications
19 Jun 2018 - 04 Apr 2023
Other Supervisors: , Scholar: Ms. Manisha Malik
Developing and analyzing strategies for optimal sparse portfolio selection
17 Dec 2018 - 06 May 2024
Other Supervisors: , Scholar: Vrinda Dhingra
On optimality conditions and duality aspects for different semi-infinite programming problems
22 Oct 2018 - 24 Jun 2024
Other Supervisors: , Scholar: Tamanna Yadav
On some multi-criteria decision making problems under uncertainity with applications
15 Jul 2019 - 12 Aug 2025
Other Supervisors: , Scholar: Manish Kumar
Robust Variants of twin support vector machines for pattern classification with applications
16 Jul 2020 - 07 Jan 2026
Other Supervisors: , Scholar: Yash Arora
On optimality criteria and duality relations for some multiobjective semi-infinite programming problems
14 Jul 2022 - Present
Other Supervisors: , Scholar: Bishal Biswas
Developing efficient algorithms for different many-to-many pickup and delivery problems
02 Jan 2023 - Present
Other Supervisors: Prof. Manu Kumar Gupta, Scholar: Bihareelal
On some nonlinear optimization problems under uncertainity
15 Jul 2024 - Present
Other Supervisors: , Scholar: Yash Gupta
Different variants of TSVM with practical applications
14 Jul 2023 - Present
Other Supervisors: Prof. Sanjeev Kumar, Scholar: Nikita Grewal
Miscellaneous
Events
Optimization theory, methods and applications
18 Aug 2020 - 20 Aug 2020
International Conference on Computations and Data Science (CoDS-2024), India
08 Mar 2024 - 10 Mar 2024
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
Vice-Chairman, JEE (Advanced) -2023
01 Aug 2022 - 31 Jul 2023
IIT Roorkee
O.C. Xerox and Stationary
05 May 2017 - 17 Sep 2020
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).