Mathematics

Prof. Dr. Rakesh Kumar Bajaj
Professor and Head
(91)01792-239291
rakesh.bajaj@juit.ac.in
For More Information Click here

Biography :

Rakesh Kumar Bajaj received his M.Sc. from the Indian Institute of Technology, Kanpur, India in 2003 and PhD (Mathematics) from Jaypee University of Information Technology (JUIT), Waknaghat, Solan, INDIA in 2009. He is currently working as a Professor in the Department of Mathematics, JUIT, Waknaghat. He joined JUIT Waknaghat on 1st May 2003. His research interests include fuzzy information measures, Intuitionistic Fuzzy Information, pattern recognition and decision making.

Author Publication Profile:

Publication(s): Click Here to Add New Publication(s)
2022 (2)	2021 (11)	2020 (6)	2019 (6)	2018 (2)	2017 (1)
2016 (1)	2015 (6)	2014 (10)	2013 (2)	2012 (10)	2011 (2)
2010 (6)	2009 (3)	2008 (3)	2007 (1)	2006 (1)	All

Book(s) :

Rakesh Kumar Bajaj, Abhishek Guleria (2021).Spherical Fuzzy Information and Graphs with Soft Computing Applications. New Delhi : Narosa Publishing House, New Delhi. [ISBN : 978-81-8487-720-5] []. Google Search
Rakesh Kumar Bajaj, Tanuj Kumar (2015).Information Measures of Intuitionistic Fuzzy Sets and Soft Sets.: Lambert Academic Publishing. [ISBN : 978-3-659-58775-7] []. Google Search
Neeraj Gandotra, Rakesh Kumar Bajaj, Nitin Gupta (2015).Reliability Properties and Intuitionistic Fuzzy Decision Making. Moldova : Lambert Academic Publishing. [ISBN : 978-3-659-75289-6] []. Google Search
Harinder Singh, Jimson Mathew, Rakesh Kumar Bajaj, Mahesh P (2013).Advances in Energy Aware Computing and Communication Systems.: McGraw Hill Education. [ISBN : 9351343324] [SCOPUS ]. Google Search
Rakesh Kumar Bajaj, D.S. Hooda, Harinder Singh (2010).Fuzzy Sets and Information: a generalized approach. Germany : LAP Lambert Academic Publishing. [ISBN : 9783838351483] []. Google Search

Book Chapter(s) :

Rakesh Kumar Bajaj, Saurabh Srivastava, A Guleria (2022). Solving Multi-objective Linear Fractional Programming Problem Utilizing (α,β)-Cut in Triangular Intuitionistic Fuzzy Setup. In Real Life Applications of Multiple Criteria Decision Making Techniques in Fuzzy Domain 1st, pp. 153-863 Singapore: Springer Nature. [ISBN : 978-981-19-4928-9] [SCOPUS ]. Google Search
Mahima Poonia, Rakesh Kumar Bajaj (2022). Utility Distribution Based Measures of Probabilistic Single Valued Neutrosophic Information, Hybrid Ambiguity and Information Improvement. In Soft Computing and its Engineering Applications pp. 78-89 Switzerland: Springer Nature. [ISBN : 978-3-031-05766-3] []. Google Search

Journal(s) :

Rakesh Kumar Bajaj, Saurabh Srivastava (2021). Optimal Inventory Management System for Deteriorating Items with Linear Demand, Shortages and Partial Backlogging in a Triangular Fuzzy Setup. International Journal of Services and Operations Management, 39 (1), pp. 98-, DOI: 10.1504/IJSOM.2020.10023941 [SCOPUS ]. Google Citation
Mahima Poonia, Rakesh Kumar Bajaj (2021). Complex Neutrosophic Matrix with Some Algebraic Operations and Matrix Norm Convergence. Neutrosophic Sets and Systems, 47 (2021), pp. 165-178, DOI: 10.5281/zenodo.5775110 [SCOPUS ]. Google Citation
Rakesh Kumar Bajaj, Abhishek Guleria (2021). T-spherical Fuzzy Soft Matrices with Applications in Decision Making and Selection Process. Scientia Iranica, Online (), pp. 1-, DOI: 10.24200/SCI.2021.55856.4440 [SCOPUS , SCI ]. Google Citation
Mahima Poonia, Rakesh Kumar Bajaj (2021). On Laplacian Energy of Picture Fuzzy Graphs in Decision Making and Site Selection Problem. Journal of Intelligent and Fuzzy Systems, 41 (1), pp. 481-498, DOI: 10.3233/JIFS-202131 [SCOPUS , SCI ]. Google Citation
Mahima Poonia, Rakesh Kumar Bajaj (2021). On Measures of Similarity for Neutrosophic Sets with Applications in Classification and Evaluation Processes. Neutrosophic Sets and Systems, 39 (2021), pp. 86-100, DOI: https://digitalrepository.unm.edu/nss_journal/vol39/iss1/7 [SCOPUS ]. Google Citation
Rakesh Kumar Bajaj, Tanuj Kumar (2021). On some characterization results of rR norm dynamic survival entropies. Communications in Statistics-Theory and Methods, 1151 (22), pp. 7963-7979, DOI: https://doi.org/10.1080/03610926.2021.1884880 [SCOPUS , SCI ]. Google Citation
Abhishek Guleria, Rakesh Kumar Bajaj (2021). On Some New Statistical Correlation Measures for T-spherical Fuzzy Sets and Applications in Soft Computing. Journal of Information Science and Engineering, 37 (2), pp. 323-, DOI: 10.6688/JISE.202103_37(2).0003 [SCOPUS ]. Google Citation
Abhishek Guleria, Rakesh Kumar Bajaj (2021). T-spherical Fuzzy Soft Sets and its Aggregation Operators with Application in Decision-Making. Scientia Iranica, 28 (2), pp. 1014-1029, DOI: 10.24200/SCI.2019.53027.3018 [SCOPUS , SCI ]. Google Citation
Abhishek Guleria, Rakesh Kumar Bajaj (2021). Eigen Spherical Fuzzy Set and its Application in Decision Making Problem. Scientia Iranica, 28 (1), pp. 516-531, DOI: 10.24200/SCI.2019.51999.2470 [SCOPUS , SCI ]. Google Citation
Ashutosh Sharma, Rajiv Kumar, Rakesh Kumar Bajaj (2021). On Energy-constrained Quickest Path Problem in Green Communication Using Intuitionistic Trapezoidal Fuzzy Numbers. Recent Patents on Computer Science, 14 (1), pp. 192-200, DOI: 10.2174/2213275911666181025125224 []. Google Citation
Abhishek Guleria, Rakesh Kumar Bajaj (2020). A Novel Probabilistic Distance Measure for Picture Fuzzy Sets with its Application in Classification Problems. Hacettepe Journal of Mathematics and Statistics, 49 (6), pp. 1-, DOI: https://doi.org/10.15672/hujms.677920 [SCOPUS ]. Google Citation
Namita Saini, Neeraj Gandotra, Rakesh Kumar Bajaj, R.P. Dwivedi (2020). Ranking of Decision-Making units in Pythagorean Fuzzy CCR Model using Data Envelopment Analysis. Materials Today: Proceedings, 33 (7), pp. 3884-3888, DOI: https://doi.org/10.1016/j.matpr.2020.06.243 [SCOPUS ]. Google Citation
Abhishek Guleria, Rakesh Kumar Bajaj (2020). A robust decision making approach for hydrogen power plant site selection utilizing (R, S)-Norm Pythagorean Fuzzy information measures based on VIKOR and TOPSIS method. International Journal of Hydrogen Energy, 45 (38), pp. 18802-18816, DOI: https://doi.org/10.1016/j.ijhydene.2020.05.091 [SCOPUS , SCI ]. Google Citation
Abhishek Guleria, Rakesh Kumar Bajaj (2020). Pythagorean fuzzy (R, S)-norm discriminant measure in various decision making processes. Journal of Intelligent and Fuzzy Systems, 38 (1), pp. 761-777, DOI: 10.3233/JIFS-179447 [SCOPUS , SCI ]. Google Citation
Tanuj Kumar, Rakesh Kumar Bajaj, MD Dilshad Ansari (2020). On Accuracy Function and Distance Measures of Interval-valued Pythagorean Fuzzy Sets with Application in Decision Making. Scientia Iranica, 27 (4), pp. 2127-2139, DOI: 10.24200/SCI.2019.51579.2260 [SCOPUS , SCI ]. Google Citation
Rakesh Kumar Bajaj, Abhishek Guleria (2020). Dimensionality Reduction Technique in Decision Making Using Pythagorean Fuzzy Soft Matrices. Recent Patents on Computer Science, 13 (3), pp. 406-413, DOI: 10.2174/2213275912666190119160621 []. Google Citation
Abhishek Guleria, Saurabh Srivastava, Rakesh Kumar Bajaj (2019). On Parametric Divergence Measure of Neutrosophic Sets with its Application in Decision-making Models. Neutrosophic Sets and Systems, 29 (2019), pp. 101-120, DOI: [SCOPUS ]. Google Citation
Abhishek Guleria, Rakesh Kumar Bajaj (2019). Technique for Reducing Dimensionality of Data in Decision-Making Utilizing Neutrosophic Soft Matrices. Neutrosophic Sets and Systems, 29 (2019), pp. 129-141, DOI: [SCOPUS ]. Google Citation
Abhishek Guleria, Rakesh Kumar Bajaj (2019). T-Spherical Fuzzy Graphs: Operations and Applications in Various Selection Processes. Arabian Journal for Science and Engineering, 45 (2020), pp. 2177-2193, DOI: https://doi.org/10.1007/s13369-019-04107-y [SCOPUS , SCI ]. Google Citation
Abhishek Guleria, Rakesh Kumar Bajaj (2019). On Pythagorean fuzzy soft matrices, operations and their applications in decision making and medical diagnosis. Soft Computing, 23 (17), pp. 7889-7900, DOI: 10.1007/s00500-018-3419-z [SCOPUS , SCI ]. Google Citation
Tanuj Kumar, Rakesh Kumar Bajaj, Prerna Maheshwari (2019). Credibility distribution based R-norm fuzzy information measures in noiseless coding theorems. International Journal of General Systems, 48 (3), pp. 302-320, DOI: https://doi.org/10.1080/03081079.2018.1552686 [SCOPUS , SCI ]. Google Citation
Abhishek Guleria, Rakesh Kumar Bajaj (2018). Pythagorean Fuzzy (R,S)-Norm Information Measure for Multicriteria Decision-Making Problem. Advances in Fuzzy Systems, 2018 (Article ID 8023013), pp. 1-, DOI: https://doi.org/10.1155/2018/8023013 [SCOPUS ]. Google Citation
N Saini, Rakesh Kumar Bajaj, N Gandotra, RP Dwivedi (2018). Multi-criteria Decision Making with Triangular Intuitionistic Fuzzy Number based on Distance Measure & Parametric Entropy Approach. Procedia Computer Science, 125 (2018), pp. 34-41, DOI: https://doi.org/10.1016/j.procs.2017.12.007 [SCOPUS ]. Google Citation
Tanuj Kumar, Rakesh Kumar Bajaj (2015). NTV metric based entropies of interval-valued intuitionistic fuzzy sets and their applications in decision making. Annals of Fuzzy Mathematics and Informatics, 9 (1), pp. 1 -21, DOI: []. Google Citation
Neeraj Gandotra, Nitin Gupta, Rakesh Kumar Bajaj (2014). Preservation Properties of the Laplace Transform and Moment Generating Function Ordering of Residual Life and Inactivity Time. Journal of Statistics and Management Systems, 17 (4), pp. 301-310 , DOI: 10.1080/09720510.2014.914294 []. Google Citation
Tanuj Kumar, Rakesh Kumar Bajaj (2014). On Complex Intuitionistic Fuzzy Soft Sets with Distance Measures and Entropies. Journal of Mathematics, 2014 (Article ID 972198), pp. 1-, DOI: http://dx.doi.org/10.1155/2014/972198 []. Google Citation
Gaurav Kumar, Rakesh Kumar Bajaj (2014). Intuitionistic Fuzzy Weighted Linear Regression Model with Fuzzy Entropy under Linear Restrictions. International Scholarly Research Notices, 2014 (Article ID 358439), pp. 1-, DOI: http://dx.doi.org/10.1155/2014/358439 []. Google Citation
Gaurav Kumar, Rakesh Kumar Bajaj (2014). On Solution of Interval Valued Intuitionistic Fuzzy Assignment Problem Using Similarity Measure and Score Function. International Journal of Mathematical, Computational, Physical and Quantum Engineering, 8 (4), pp. 709-715, DOI: []. Google Citation
Gaurav Kumar, Rakesh Kumar Bajaj (2014). Implementation of Intuitionistic Fuzzy Approach in Maximizing Net Present Value. International Journal of Mathematical, Computational, Physical and Quantum Engineering, 8 (7), pp. 1036-1046, DOI: []. Google Citation
Rajeev Kaushik, Rakesh Kumar Bajaj (2014). On Intuitionistic Fuzzy Entropy as Cost Function in Image Denoising. International Journal of Applied Information Systems, 7 (5), pp. 1-8, DOI: 10.5120/ijais14-451198 []. Google Citation
Rajeev Kaushik, Rakesh Kumar Bajaj (2014). On Exponential Interval Valued Intuitionistic Fuzzy Entropy of Order beta and type alpha and its Applications in Decision Making. International Journal of Computer Applications, 95 (12), pp. 1-, DOI: 10.5120/16643-6615 []. Google Citation
Gaurav Kumar, Rakesh Kumar Bajaj (2014). Intuitionistic Fuzzy Reliability of k-out-of-n System using Statistical Confidence Interval. International Journal of Applied Information Systems, 7 (7), pp. 1-10, DOI: 10.5120/ijais14-451212 []. Google Citation
Tanuj Kumar, Rakesh Kumar Bajaj (2014). Reliability Analysis of k-out-of-n: G System Using Triangular Intuitionistic Fuzzy Numbers. World Academy of Science, Engineering and Technology, 8 (2), pp. 373-379, DOI: 10.5281/zenodo.1091098 []. Google Citation
Kumar T., Rakesh Kumar Bajaj, Gupta N. (2014). Fuzzy entropy in fuzzy weighted linear regression model under linear restrictions with simulation study. International Journal of General Systems, 43 (2), pp. 135-148, DOI: 10.1080/03081079.2013.879301 [SCOPUS , SCI ]. Google Citation
Gupta N., Rakesh Kumar Bajaj (2013). On partial monotonic behaviour of some entropy measures. Statistics and Probability Letters, 83 (5), pp. 1330-1338, DOI: https://doi.org/10.1016/j.spl.2013.02.001 [SCOPUS , SCI ]. Google Citation
Gupta N. , Rakesh Kumar Bajaj (2012). Stochastic Comparisons of Heterogeneous Samples with Homogeneous Exponential Samples. World Academy of Science, Engineering and Technology, 6 (8), pp. 848-850, DOI: https://publications.waset.org/ []. Google Citation
Nitin Gupta, Neeraj Gandotra, Rakesh Kumar Bajaj (2012). Reliability Properties of Residual Life Time and Inactivity Time of Series and Parallel System. Journal of Applied Mathematics, Statistics and Informatics, 8 (1), pp. 5-, DOI: []. Google Citation
Neeraj Gandotra, Rakesh Kumar Bajaj, Nitin Gupta (2011). On Some Reliability Properties of Mean Inactivity Time under Weighing. International Journal of Computer Applications, 30 (3), pp. 28-, DOI: 10.5120/3622-5057 []. Google Citation
Tanuj Kumar, Rakesh Kumar Bajaj, Nitin Gupta (2011). On Some Parametric Generalized Measures of Fuzzy Information, Directed Divergence and Information Improvement. International Journal of Computer Applications, 30 (9), pp. 5-, DOI: 10.5120/3666-5185 []. Google Citation
Ravindara Bhatt, Rakesh Kumar Bajaj, T. S. Lamba (2010). Utilizing Fuzzy Clustering for Intrusion Detection on DARPA Data Set. International Journal of Computer Mathematical Science and Applications, 4 (1-2), pp. 1-, DOI: []. Google Citation
Kaushal Kishore Sharma, Rakesh Kumar Bajaj, Ravindara Bhatt (2010). On Study, Comparison and Implementation of Fuzzy Algorithm on Iris Data Set. Journal of Combinatorics, Information & System Sciences, 35 (3-4), pp. 439-, DOI: []. Google Citation
Rakesh Kumar Bajaj, D.S. Hooda (2010). Generalized Measures of Fuzzy Directed-Divergence, Total Ambiguity and Information Improvement. Journal of Applied Mathematics, Statistics and Informatics, 6 (2), pp. 31-39, DOI: []. Google Citation
D.S. Hooda, Rakesh Kumar Bajaj (2010). Useful Fuzzy Measures of Information, Integrated Ambiguity and Directed Divergence. International Journal of General Systems, 39 (6), pp. 647-658, DOI: https://doi.org/10.1080/03081079.2010.495467 [SCOPUS , SCI ]. Google Citation
Rakesh Kumar Bajaj, Amit Srivastava, Hooda D.S (2009). Fuzzy Clustering Algorithm for Testing the Convergence of projected per capita GDP of BRIC and G6 Countries. International Journal of Applied Mathematics and Statistics, 1 (1), pp. 1-, DOI: []. Google Citation
Rakesh Kumar Bajaj, Amit Srivastava (2009). Study of Output Convergence pattern of BRIC Economies: Application of Fuzzy Mathematics. The IUP Journal of Applied Economics , 8 (3-4), pp. 107-115 , DOI: []. Google Citation
Rakesh Kumar Bajaj, Gaurav Garg, D.S. Hooda (2009). On Restricted Fuzzy Linear Regression Model. International Review of Fuzzy Mathematics, 4 (1-2), pp. 11-, DOI: []. Google Citation
D.S. Hooda, Rakesh Kumar Bajaj (2008). Useful measures of fuzzy information, total ambiguity and fuzzy directed divergence. Journal of Rajasthan Academy of Physical Sciences, 7 (4), pp. 421-, DOI: []. Google Citation
Rakesh Kumar Bajaj, D.S. Hooda (2008). Monotonicity and Maximum Fuzziness of Fuzzy Entropy and Directed Divergence Measures. Journal of Mathematics and Systems Sciences, 4 (2), pp. 37-, DOI: []. Google Citation
D.S. Hooda, Rakesh Kumar Bajaj (2008). On Generalized R-norm Measures of Fuzzy Information. Journal of Applied Mathematics, Statistics and Informatics, 4 (2), pp. 199-205, DOI: https://journals.indexcopernicus.com/search/journal/issue?issueId=all&journalId=55528 []. Google Citation
D.S. Hooda, Rakesh Kumar Bajaj (2006). Some non-additive generalized measures of useful inforamtion and J-divergence. Aligarh Journal of Statistics, 26 (2006), pp. 65-65, DOI: []. Google Citation

Conference(s) :

Tanuj Kumar, Rakesh Kumar Bajaj, Rajeev Kaushik (2017). Expected Value Based Ranking of Intuitionistic Fuzzy Variables. Proceedings of the Recent Advances in Fundamental and Applied Sciences [Lovely Professional University, Phagwara, Punjab : 2017], pp.020030-1-. [SCOPUS]. Google Citation
Neeraj Gandotra, Rakesh Kumar Bajaj, Jimson Mathew (2016). On Ranking in Triangular Intuitionistic Fuzzy Multi Criteria Decision Making under alpha - beta cut with Useful Parametric Entropy. Proceedings of the International Conference on Advances in Computing and Communications (ICACC) [5th. : Cochin : 2-4 Sept, 2015], pp.69-. [SCOPUS]. Google Citation
Rajeev Kaushik, Rakesh Kumar Bajaj, Tanuj Kumar (2015). On Intuitionistic Fuzzy Divergence Measure with Application to Edge Detection. Proceedings of the 4th International Conference on Eco-friendly Computing and Communication Systems [Procedia Computer Science, Elsevier : NIT, Kurukshetra : 7-8 December 2015], pp.2-. [SCOPUS]. Google Citation
Rajeev Kaushik, Rakesh Kumar Bajaj, Jimson Mathew (2015). On Image Forgery Detection Using Two Dimensional Discrete Cosine Transform and Statistical Moments. Proceedings of the 4th International Conference on Eco-friendly Computing and Communication Systems [Procedia Computer Science, Elsevier : NIT, Kurukshetra : 7 - 8 December, 2015], pp.130-. [SCOPUS]. Google Citation
Gaurav Kumar, Rakesh Kumar Bajaj, Neeraj Gandotra (2015). Algorithm for Shortest Path Problem in a Network with Interval-valued Intuitionistic Trapezoidal Fuzzy Number. Proceedings of the 4th International Conference on Eco-friendly Computing and Communication Systems [Procedia Computer Science, Elsevier : NIT, Kurukshetra : 7- 8 December, 2015], pp.123-. [SCOPUS]. Google Citation
Neeraj Gandotra, Rakesh Kumar Bajaj, Nitin Gupta (2012). Sorting of Decision Making Units in Data Envelopment Analysis with Intuitionistic Fuzzy Weighted Entropy. Proceedings of the International Conference on Computer Science, Engineering and Applications [2nd : New Delhi, India : May 25-27, 2012], pp.567-. [SCOPUS]. Google Citation
Rakesh Kumar Bajaj, Tanuj Kumar, Nitin Gupta (2012). NTV Metric Based New Similarity Measure for Intuitionistic Fuzzy Sets with Its Computational Application in Medical Diagnosis. Proceedings of the International Conference on Advances in Computing and Communications (ICACC) [Cochin, Kerala : 9-11 August, 2012], pp.1-. [SCOPUS]. Google Citation
Rakesh Kumar Bajaj, Tanuj Kumar, Nitin Gupta (2012). R-norm Intuitionistic Fuzzy Information Measures and Its Computational Applications. Proceedings of the Eco-friendly Computing and Communication Systems [ : ], pp.372-. [SCOPUS]. Google Citation
Tarun Kumar, Nitin Gupta, Rakesh Kumar Bajaj (2012). Reliability Evaluation of Series and Parallel Systems Using Trapezoidal Intuitionistic Fuzzy Sets. Proceedings of the Advances in Computing and Communications, International Conference on [Cochin, Kerala : 9-11 August, 2012], pp.219-. [SCOPUS]. Google Citation
Neeraj Gandotra, Rakesh Kumar Bajaj, Nitin Gupta (2012). Vendor Selection under Intuitionistic Trapezoidal Fuzzy Multiple Criteria Decision Making Model with Entropy Weights. Proceedings of the Advances in Computing and Communications, International Conference on [Cochin, Kerala : 9-11 August, 2012], pp.18-. [SCOPUS]. Google Citation
Tarun Kumar, Nitin Gupta, Rakesh Kumar Bajaj (2012). Fuzzy Entropy on Restricted Fuzzy Linear Regression Model with Cross Validation and Applications. Proceedings of the Advances in Computing and Communications, International Conference on [Cochin, Kerala : 9-11 August, 2012], pp.5-. [SCOPUS]. Google Citation
Nitin Gupta, Neeraj Gandotra, Rakesh Kumar Bajaj (2012). Reliability Properties of Series and Parallel Systems under Equilibrium Distribution. Proceedings of the Advances in Computing and Communications, International Conference on [Cochin, Kerala : 9-11 August, 2012], pp.203-. [SCOPUS]. Google Citation
Rakesh Kumar Bajaj, Nitin Gupta (2012). Utility and Fuzziness Aspects of the Information Measures in Experimental Observations and Computations. Proceedings of the [Advances in Computing and Communications, International Conference on : Cochin, Kerala : 9-11 August, 2012], pp.9-. [SCOPUS]. Google Citation
Rakesh Kumar Bajaj, Hooda D.S. (2010). On some new generalized measures of fuzzy information. Proceedings of the Proceedings of World Academy of Science, Engineering and Technology [Penang, Malaysia : February 24-26, 2010], pp.747-. [SCOPUS]. Google Citation
Rakesh Kumar Bajaj, Amit Srivastava (2007). Projected per capita GDP Convergence Analysis of BRIC Countries based on Goldman Sach. Proceedings of the International Conference on BRICS - Agenda for Cooperation [Integrated Academy of Management and Technology, New Delhi : December 5-7, 2007], pp.-.. Google Citation

Mathematics

FACULTY NAMES