Dr. Amit Kumar
Associate Professor

Designation:

Associate Professor

Specialization:

Fuzzy Optimization

Email:

amitkumar@thapar.edu

Biography

Amit Kumar is Associate Professor of Mathematics, at Thapar Institute of Engineering & Technology, Patiala. He did his doctorate from IIT Roorkee. He joined Thapar Institute of Engineering & Technology in 2007 as Assistant Professor. His area of research is Applied Mathematics. He has guided 14 Ph.D. students.

Details of Awards

  • Cash award (Salary of one month) under Performance Incentive Scheme for the year 2009-2010.
  • Cash award (Salary of three months) under Performance Incentive Scheme for the year 2011-2012.
  • Cash award (Salary of three months) under Performance Incentive Scheme for the year 2012-2013.
  • Cash award (Salary of two months) under Performance Awards Scheme for the year 2013-2014.
  • Cash award (Fixed amount Rs.1 lacs) under Performance Awards Scheme for the year 2014-2015.

Details of Completed Sponsored Project

Starting Date Completion Date Sponsoring Organization Title of Project Amount of Grant (In Lacs) Co-Investigators
Feb 1, 2011 Jan 31, 2014 U.G.C Algorithms for solving some fuzzy network flow problems Rs. 10, 06,800 N.A

Summary

 

To find the solution of Network problems like transportation problems, shortest path problems, maximal flow problems etc. the related parameters are represented as real numbers. However, in the literature, it is pointed out that it is more realistic to represent the parameters of these problems as fuzzy numbers instead of real numbers. Hence, different algorithms have been developed in the literature to solve these problems. After a deep study of the existing algorithms, it is observed that in the existing algorithms some mathematical incorrect assumptions have been considered. Therefore, the aim of this project was to develop new algorithms for solving these problems.

 

Details of Book (Published)

S.No. Name of Book Year of Publication Name of Publisher Co-authors (if any)
1. An Introduction to Fuzzy Linear Programming Problems :Theory, Methods and Applications Vol. 340, 2016 Springer- Verlag (Book Series:Studies in Fuzziness and Soft Computing) Jagdeep Kaur

Details of Book (In Press)

S.No. Name of Book Expected Year of Publication Name of Publisher Co-authors (if any)
1. Fuzzy Transportation and Transshipment Problems: State of the Art, New Developments and Challenges September 2016 Springer- Verlag (Book Series:Studies in Fuzziness and Soft Computing) Amarpreet Kaur and Janusz Kacprzyk

Details of Foreign Visit

S.No. Purpose Place, Country Duration
1. Visiting Scholar University of Manitoba, Canada June 10, 2013 to July 10, 2013
2. Visiting Scholar University of Manitoba, Canada June 10, 2014 to July 10, 2014
3. Visiting Scholar University of Manitoba, Canada June 15, 2015 to July 15, 2015

Details of Ph.D thesis supervised

S.No. Name of Student Year of Completion Title of Thesis Co-Supervisors
1. Pushpinder Singh 2011 Linear programming problems with generalized fuzzy sets N.A.
2. Amarpreet Kaur 2012 Some algorithms for solving transportation problems in fuzzy environment N.A.
3. Manjot Kaur 2012 Efficient algorithms for solving some fuzzy network flow problems N.A.
4. Jagdeep Kaur 2012 Methods for solving linear programming problems with fuzzy parameters N.A.
5. Parmpreet Kaur 2012 Some algorithms for solving scheduling problems in fuzzy environment using CPM N.A.
6. Neha Bhatia 2012 Some linear programming techniques in fuzzy environment N.A.
7. Anila Gupta 2012 Algorithms for solving some single and multi- criteria decision making problems in fuzzy environment Dr. M.K. Sharma
8. Manjit Verma 2012 Reliability analysis of power systems using fuzzy sets and their extensions Dr. Yaduvir Singh
9. Sneh Lata 2013 Reliability analysis of some industrial systems in crisp and fuzzy environments N.A.
10. Ms. Bindu Bhardwaj 2015 Some approaches for solving fuzzy data envelopment analysis models N.A.
11. Ms. Neetu 2016 Efficient methods for solving fuzzy linear systems N.A.
12. Ms. Sukhpreet Kaur 2016 Efficient methods for solving some mathematical programming problems with fuzzy parameters N.A.
13. Ms. Tina Verma 2016 Methods for solving non-cooperative games with fuzzy payoffs Dr. S.S. Appadoo
14. Mr. Gourav Gupta 2016 Transportation problems in intuitionistic fuzzy environment Dr. M.K. Sharma

Details of selected papers published in SCI/SCIE Journals (Published by Springer-Verlag / Elsevier ) having impact factor

S.No. Author(s) Year of Publication Title of Paper Name of the Journal, volume/page numbers, Name of the Publisher Impact Factor
1. Tina Verma and Amit Kumar Accepted Ambika methods for solving matrix games with Atanassov’s intuitionistic fuzzy payoffs IEEE Transactions on Fuzzy Systems IEEE Computational Intelligence Society 7.761
2. Jagdeep Kaur and Amit Kumar 2017 Commentary on "Calculating fuzzy inverse matrix using fuzzy linear equation system” Applied Soft Computing, Vol. 58, pp. 324-327 Elsevier 3.541
3. Asmita Pandey and Amit Kumar 2017 A note on “A novel approach to multi attribute group de- cision making based on trapezoidal interval type-2 fuzzy soft sets” AApplied Mathematical Modelling, Vol. 41, pp. 691-693 Elsevier 2.350
4. Jagdeep Kaur and Amit Kumar 2017 Commentary on “Evaluating the criteria for human resource for science and technology (HRST) based on an integrated fuzzy AHP and fuzzy DEMATEL approach” Applied Soft Computing, Vol. 51, pp. 351-352 Elsevier 3.541
5. Asmita Pandey and Amit Kumar 2016 A note on “Applying fuzzy linguistic preference relations to the improvement of consistency of fuzzy AHP” Information Sciences, Vol. 346- 347, pp. 1-5 Elsevier 4.832
6. Asmita Pandey, Yejun Xu and Amit Kumar 2016 Corrigendum to “A note on “Applying fuzzy linguistic preference relations to the improvement of consistency of fuzzy AHP [Information Sciences, Vol. 346-347, pp. 1-5]”” Information Sciences, Vol. 366, pp. 202-203 Elsevier 4.832
7. Gourav Gupta, Jagdeep Kaur and Amit Kumar 2016 A note on “Fully fuzzy fixed charge multi-item solid transportation problem” Applied Soft Computing, Vol. 41 , pp. 418–419 Elsevier 3.541
8. Gourav Gupta,Amit Kumar and M.K. Sharma 2016 A note on “A new method for solving fuzzy linear programming problems based on the fuzzy Linear complementary problem (FLCP)” International Journal of Fuzzy Systems, 18, 333- 337 Springer-Verlag 2.198
9. Harwinder Kaur and Amit Kumar 2016 A note on the paper “Duality theory for optimization problems with interval-valued objective functions” Journal of Optimization Theory and Applications, Vol. 169, pp. 344-347 Springer-Verlag 1.289
10. Sukhpreet Kaur Sidhu, Amit Kumar and Amarpreet Kaur 2016 A note on “A fuzzy approach to transport optimization problem” Optimization and Engineering, Vol. 17, 987-992 Springer-Verlag 1.135
11. Bindu Bhardwaj and Amit Kumar 2015 A note on “A new algorithm to solve fully fuzzy linear programming problems using the MOLP problem” Applied Mathematical Modelling, Vol. 39, pp. 5982-5985 Elsevier 2.350
12. Amit Kumar , S.S. Appadoo and C.R. Bector 2014 A note on “Generalized fuzzy linear programming for decision making under uncertainty: Feasibility of fuzzy solutions and solving approach” Information Sciences, Vol. 266, pp. 226-227 Elsevier 4.832
13. Parmpreet Kaur and Amit Kumar 2014 Linear programming approach for solving fuzzy critical path problems with fuzzy parameters Applied Soft Computing, Vol. 21, pp. 309-319 Elsevier 3.541
14. Bindu Bhardwaj and Amit Kumar 2014 A note on the paper “A simplified novel technique for solving fully fuzzy linear programming problems” Journal of Optimization Theory and Applications, Vol. 163, pp. 685-696 Springer- Verlag 1.289
15. Amit Kumar and Amarpreet Kaur 2014 Optimal way of selecting cities and conveyances for supplying coal in uncertain environment Sadhana – Academy Proceedings in Engineering Sciences, Vol. 39, pp. 165-187 Springer- Verlag 0.465
16. Amit Kumar and Manjot Kaur 2014 A new method for solving single and multi-objective fuzzy minimum cost flow problems with different membership functions Sadhana – Academy Proceedings in Engineering Sciences, Vol. 39, pp. 189-206 Springer- Verlag 0.465
17. Deepika Rani, T.R. Gulati and Amit Kumar 2014 A method for unbalanced transportation problems in fuzzy environment Sadhana – Academy Proceedings in Engineering Sciences, Vol. 39, pp. 573-581 Springer- Verlag 0.465
18. Jagdeep Kaur and Amit Kumar 2013 Mehar’s method for solving fully fuzzy linear programming problems with L-R fuzzy parameters Applied Mathematical Modelling, Vol. 37, pp. 7142-7153 Elsevier 2.350
19. Manjot Kaur and Amit Kumar 2013 Optimal compromise solution of multi-objective minimal cost flow problems in fuzzy environment Applied Mathematical Modelling, Vol. 37, pp. 1677-1693 Elsevier 2.350
20. Sneh Lata and Amit Kumar 2013 A new method for solving differential equations with vague parameters Applied Mathematical Modelling, Vol. 37, pp. 3282-3295 Elsevier 2.350
21. Jagdeep Kaur and Amit Kumar 2013 A new method to find the unique fuzzy optimal value of fuzzy linear programming problems Journal of Optimization Theory and Applications, Vol. 156, pp. 529-534 Springer- Verlag 1.289
22. Neetu, Amit Kumar and Abhinav Bansal 2013 Solving a fully fuzzy linear system with arbitrary triangular fuzzy numbers ),,(m Soft Computing, Vol. 17, pp. 691- 702 Springer- Verlag 2.472
23. Parmpreet Kaur and Amit Kumar 2013 Modification in Chen and Tsai’s method for solving time-cost trade-off problems of project networks in fuzzy environments Neural Computing & Applications, Vol. 23, pp. 1045-1050 Springer- Verlag 2.505
24. Manjot Kaur and Amit Kumar 2013 Method for solving unbalanced fully fuzzy multi-objective solid minimal cost flow problems Applied Intelligence, Vol. 38, pp. 239-254 Springer- Verlag 1.904
25. Jagdeep Kaur and Amit Kumar 2012 Exact fuzzy optimal solution of fully fuzzy linear programming problems with unrestricted fuzzy variables Applied Intelligence, Vol. 37, pp. 145-154 Springer- Verlag 1.904
26. Amarpreet Kaur and Amit Kumar 2012 A new approach for solving fuzzy transportation problems using generalized trapezoidal fuzzy numbers Applied Soft Computing, Vol. 12, pp. 1201-1213 Elsevier 3.541
27. Anila Gupta and Amit Kumar 2012 A new method for solving linear multi-objective transportation problems with fuzzy parameters Applied Mathematical Modelling ,Vol. 36, pp. 1421-1430 Elsevier 2.350
28. Neha Bhatia and Amit Kumar 2012 Mehar’s method for solving fuzzy sensitivity analysis problems with LR flat fuzzy numbers Applied Mathematical Modelling, Vol. 36, pp. 4087-4095 Elsevier 2.350
29. Anila Gupta, Amit Kumar and Amarpreet Kaur 2012 Mehar’s method to find exact fuzzy optimal solution of unbalanced fully fuzzy multi- objective transportation problems Optimization Letters , Vol. 6, pp. 1737-1751 Springer- Verlag 1.310
30. Manjot Kaur and Amit Kumar 2012 Fuzzy optimal solution for unbalanced fully fuzzy minimal cost flow problems International Journal of Fuzzy Systems, Vol. 14, pp. 1-10 Springer- Verlag 2.198
31. Amit Kumar and Amarpreet Kaur 2012 Methods for solving unbalanced fuzzy transportation problems Operational Research, Vol. 12, pp. 287-316 Springer- Verlag 1.065
32. Amit Kumar, Jagdeep Kaur and Pushpinder Singh 2011 A new method for solving fully fuzzy linear programming problems Applied Mathematical Modelling, Vol. 35, pp. 817-823 Elsevier 2.350
33. Amit Kumar, Pushpinder Singh, Amarpreet Kaur and Parmpreet Kaur 2011 A new approach for ranking non-normal p- norm trapezoidal fuzzy numbers Computers and Mathematics with Applications, Vol. 61, pp. 881-887 Elsevier 1.531
34. Amarpreet Kaur and Amit Kumar 2011 A new method for solving fuzzy transportation problems using ranking function Applied Mathematical Modelling, Vol. 35, pp. 5652-5661 Elsevier 2.350

Details of selected papers published in SCI/SCIE Journals (not Published by Springer-Verlag / Elsevier ) having impact factor

S.No. Author(s) Year of Publication Title of Paper Name of the Journal, volume/page numbers, Name of the Publisher Impact Factor
1. Jeevan Jot Kaur and Amit Kumar 2016 Mehar and Keerat method for solving system of fuzzy complex linear equations Journal of Intelligent and Fuzzy Systems, Vol. 31, 1955-1965 IOS Press 1.261
2. Gourav Gupta, Amit Kumar and S.S. Appadoo 2016 A note on “Ranking generalized exponential trapezoidal fuzzy numbers based on variance” Journal of Intelligent and Fuzzy Systems, Vol. 31, 213-215 IOS Press 1.261
3. Sukhpreet Kaur Sidhu and Amit Kumar 2016 A note on “Solving intuitionistic fuzzy linear programming problems by ranking function” Journal of Intelligent and Fuzzy Systems, Vol. 30, 2787-2790 IOS Press 1.261
4. Tina Verma, Amit Kumar and S.S. Appadoo 2015 Modified difference-index based ranking bilinear programming approach to solving bimatrix games with payoffs of trapezoidal intuitionistic fuzzy numbers Journal of Intelligent and Fuzzy Systems, Vol. 29, 1607-1618 IOS Press 1.261
5. Tina Verma and Amit Kumar 2015 A note on “A lexicographic method for matrix games with payoffs of triangular intuitionistic fuzzy numbers” International Journal of Computational Intelligence Systems, Vol. 8, pp. 690-700 Atlantis Press, Paris, France, co- published with Taylor and Francis 0.391
6. Amit Kumar and Jagdeep Kaur 2014 Fuzzy optimal solution of fully fuzzy linear programming problems using ranking function Journal of Intelligent and Fuzzy Systems, Vol. 26, pp. 337- 344 IOS Press 1.261
7. Sukhpreet Kaur Sidhu, Amit Kumar and S.S. Appadoo 2014 Mehar methods for fuzzy optimal solution and sensitivity analysis of fuzzy linear programming with symmetric trapezoidal fuzzy numbers Mathematical Problems in Engineering, Vol. 2014, Article ID 697085, 8 pages, doi:10.1155/2014/6 97085 Hindawi 0.802
8. Tina Verma and Amit Kumar 2014 A note on “A methodology for matrix games with payoffs of triangular intuitionistic fuzzy number” Journal of Intelligent and Fuzzy Systems, Vol. 27, pp. 1689- 1691 IOS Press 1.261
9. Neetu, Amit Kumar and Abhinav Bansal 2013 Linear programming approach to find the exact solution of fully fuzzy linear systems with arbitrary fuzzy coefficients Journal of Intelligent and Fuzzy Systems, Vol. 25, pp. 747- 753 IOS Press 1.261
10. Neha Bhatia and Amit Kumar 2013 A new method for sensitivity analysis of fuzzy transportation problems Journal of Intelligent and Fuzzy Systems, Vol. 25, pp. 167- 175 IOS Press 1.261
11. Sneh Lata and Amit Kumar 2013 A new analytical method for solving fuzzy differential equations Iranian Journal of Fuzzy Systems, Vol. 10, pp. 19-39 Unisity of Sistan & Baluchistan, Iran 0.381
12. Amarpreet Kaur and Amit Kumar 2012 Fuzzy solid transshipment problems and its fuzzy optimal solution Applied and Computational Mathematics, Vol. 11, pp. 398-420 Baku State Univ, Azerbaijan 1.333
13. Amit Kumar and Amarpreet Kaur 2012 Optimization for different types of transportation problems with fuzzy coefficients in the objective function Journal of Intelligent and Fuzzy Systems, Vol. 23, pp. 1-12 IOS Press 1.261
14. Parmpreet Kaur and Amit Kumar 2012 A new ranking approach and its application for solving fuzzy critical path problems South African Journal of Industrial Engineering, Vol. 23, pp. 91-102 Southern African Institute for Industrial Engineering, South Africa 0.188
15. Sneh Lata and Amit Kumar 2012 A new method to solve time-dependent intuitionistic fuzzy differential equations and its application to analyze the intuitionistic fuzzy reliability of industrial systems Concurrent Engineering: Research and Applications, Vol. 20, pp. 177-184 Sage Publication, United States 1.00
16. Sneh Lata and Amit Kumar 2011 Mehar’s method for analyzing the fuzzy reliability of piston manufacturing system Eksploatacja I Niezawodnosc – Maintenance and Reliability, Vol. 51, pp. 26-39 Polish Maintenance Society, Poland 1.145

Details of M.Sc Thesis Supervised

S.No. Name of Student Year of Completion Title of Thesis Co-Supervisors
1. Neha Bhatia 2009 Algorithms for some fuzzy network problems using ranking function N.A.
2. Sapna Gupta 2009 Different approaches for analyzing the fuzzy reliability of a marine power plant N.A.
3. Jolly Puri 2009 Fuzzy linear programming and its application N.A.
4. Ankush Kumar 2009 Fault-tree analysis of different systems Dr. Rajesh Gupta
5. Gurbinder Kaur 2010 Similarity measure of different types of fuzzy sets N.A.
6. Deepika 2010 Fuzzy programming technique for solving different types of multi-objective transportation problem N.A.
7. Deepti 2010 Some methods for analyzing the fuzzy critical path for a project network N.A.
8. Gourav Gupta 2010 Some methods for solving fully fuzzy linear system of equations N.A.
9. Sapna 2011 Solving different types of transportation problems in fuzzy environment N.A.
10. Priyanka Garg 2011 Fuzzy variable linear programming problems N.A.
11. Rajveer Kaur 2012 A study on fuzzy shortest path problems N.A.
12. Bharti Kant 2012 A study on assignment problem and its extensions in fuzzy environment N.A.
13. Akriti Jindal 2016 Some methods for finding multiplicative inverse of fuzzy and intuitionistic fuzzy matrices N.A.