Dr. Amit Kumar
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.
| 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.
| 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 |
| 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 |
| 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 |
| 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 |
| 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 ),,(ï¢ï¡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 |
| 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 |
| 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. |
