______

Name: Rakesh Kumar Bajaj

Designation: Associate Professor

Contact Information: ,

( +91) 01792-239-229; +91 – 9816337725

Educational Information:

PhD from JaypeeUniversity of Information Technology, Waknaghat in 2009.

Title: Fuzzy Regression, Clustering and Generalized Measures of Fuzzy Information,

Supervisors: Prof. D.S. Hooda & Prof. Harinder Singh.

M.Sc. (Mathematics) from IIT Kanpur in 2003.

Research Interests:

Fuzzy Information Measures, Intuitionistic Fuzzy Information, Pattern Recognition, Decision Making

Ph.D. Students: 1 (Completed), 1 ongoing

Teaching Experience

  • Associate Professor, Department of Mathematics, JUIT, Waknaghat, INDIA.
  • 11 Years of Teaching Experience at JUIT, Waknaghat.
  • Assistant Professor(SG)1st July 2010 to 31stMarch 2014 at JUIT Waknaghat.
  • Assistant Professor (Grade -II) 1st Oct 2007 to 30th June 2010 at JUIT Waknaghat.
  • Assistant Professor (Grade -I) 8thNov 2004 to 30thSept 2007 at JUIT Waknaghat.
  • Associate Lecturer 1stMay 2003 to 7th Nov 2004 at JUIT Waknaghat.
  • Joined JUIT, Waknaghat on 1stMay 2003.

Publications

  • “Fuzzy Information Measure in Weighted Fuzzy Linear Regression Model underLinear Restrictions with Simulation Study”, Tanuj Kumar, Rakesh K Bajaj andNitin Gupta, International Journal of General Systems, Volume 43 (2), 135 - 148,2014.[Taylor & Francis, Impact Factor: 0.733; DOI:10.1080/03081079.2013.879301]
  • “Reliability Analysis of k-out-of-n : G System Using Triangular Intuitionistic FuzzyNumbers”, Tanuj Kumar and Rakesh K Bajaj, International Journal of Mathematical, Computational Science and Engineering, Vol:8 No:2, 64 - 70, 2014.[ISSN:1307-6892, International Science Index 86].
  • “On Partial Monotonic Behaviour of Some Entropy Measures”, Nitin Gupta andRakesh K Bajaj, Statistics and Probability Letters, Vol.83, 1330-1338, 2013. [Elsevier,Impact Factor:0.553][DOI:10.1016/j.spl.2013.02.001].
  • “R-norm Intuitionistic Fuzzy Information Measures and its Computational Applications,Rakesh K Bajaj, Tanuj Kumar and Nitin Gupta, Springer: Communicationsin Computer and Information Science, 2012, Volume 305, Part 8, 372-380, DOI:10.1007/978-3-642-32112-2 43. (indexed by ISI, DBLP, Ulrich’s, EI-Compendex,SCOPUS, Zentralblatt Math, MetaPress, Springerlink etc.)
  • “Vendor Selection under Intuitionistic Trapezoidal Fuzzy Multiple Criteria DecisionMaking Model with Entropy Weights” Neeraj Gandotra, Rakesh K Bajaj and NitinGupta, IEEE proceedings of Second International conference on Advances in Computing & Communications (ICACC), 2012, 18-21, DOI:10.1109/ICACC.2012.5.
  • “Reliability Evaluation of Series and Parallel Systems using Trapezoidal Intuitionistic
  • Fuzzy Sets” by Tanuj Kumar, Nitin Gupta and Rakesh K Bajaj, IEEE proceedingsof Second International conference on Advances in Computing and Communications(ICACC), 2012, pp. 219-222, DOI:10.1109/ICACC.2012.50.
  • “Utility and Fuzziness Aspects of the Information Measures in Experimental Observationsand Computations” Rakesh K Bajaj and Nitin Gupta, IEEE proceedings ofSecond International conference on Advances in Computing and Communications(ICACC), 2012, pp. 9-13, DOI:10.1109/ICACC.2012.3.
  • “Reliability Properties of Series and Parallel Systems under Equilibrium Distribution”

Nitin Gupta, Neeraj Gandotra and Rakesh K Bajaj, IEEE proceedings ofSecondInternational conference on Advances in Computing and Communications(ICACC), 2012, pp. 203-206, DOI:10.1109/ICACC.2012.47.

  • “‘NTV’ Metric based New Similarity Measure for Intuitionistic Fuzzy Sets with itsComputational Application in Medical Diagnosis” Rakesh K Bajaj, Tanuj Kumarand Nitin Gupta, IEEE proceedings of Second International conference on Advancesin Computing Communications (ICACC), 2012, 1-4, DOI:10.1109/ICACC.2012.1.
  • “Fuzzy Entropy on Restricted Fuzzy Linear Regression Model with Cross Validationand Applications” Tanuj Kumar, Nitin Gupta and Rakesh K Bajaj, IEEE proceedingsof Second International conference on Advances in Computing and Communications(ICACC), 2012, pp. 5-8, DOI:10.1109/ICACC.2012.2
  • “Sorting of Decision Making Units in Data Envelopment Analysis with IntuitionisticFuzzy Weighted Entropy” , Neeraj Gandotra, Rakesh K Bajaj and Nitin Gupta,Springer: Advances in Intelligent and Soft Computing (DBLP, Ulrich’s, EI-Compendex,SCOPUS, Zentralblatt Math, MetaPress, Springerlink), Proceedings of 2nd InternationalConference on Computer Science, Engineering and Applications (ICCSEA2012), Volume 166/2012, 567-576.
  • “Reliability Properties of Residual Life Time and Inactivity Time of Series andParallel System”, Nitin Gupta, Neeraj Gandotra and Rakesh K Bajaj, Journalof Applied Mathematics, Statistics and Informatics, Vol. 8 (1), May 2012, 5-16.DOI:10.2478/v10294-012-0001-7.
  • “Stochastic Comparisons of Heterogeneous Samples with Homogeneous ExponentialSamples”, Nitin gupta and Rakesh K Bajaj, International Journal of Mathematicaland Computational Sciences, Vol. 68, 541-543, 2012.[indexed in Google Scholar,Compendex, Scopus, WorldCat, EBSCO, GALE and Thomson Reuters].
  • “On Some Parametric Generalized Measures of Fuzzy Information, Directed Divergenceand Information Improvement”, Tanuj Kumar, Rakesh Kumar Bajaj andNitin Gupta, International Journal of Computer Applications, Vol. 30 (9), 5-10,2011. [Impact Factor: 0.835] [ISSN: 0975-8887][DOI:10.5120/3666-5185].
  • “On Some Reliability Properties of Mean Inactivity Time under Weighing”, NeerajGandotra, Rakesh K Bajaj and Nitin Gupta, International Journal of ComputerApplications, Vol. 30 (3), 28-32, 2011. [Impact Factor: 0.835][ISSN: 0975-8887][DOI:10.5120/3622-5057]. Cited by: S Izadkhah, M Kayid - 2013 Reliability Analysisof the Harmonic Mean Inactivity Time Order IEEE TRANSACTIONS ONRELIABILITY, VOL. 62, NO. 2, JUNE 2013.
  • “Generalized Measures of Fuzzy Directed-Divergence, Total Ambiguity and InformationImprovement”, Rakesh K Bajaj and D.S. Hooda, Journal of Applied Mathematics, Statistics and Informatics, Vol.6(2), 31 - 44, Dec 2010. ( 1336-9180].
  • “Useful Fuzzy Measures of Information, Integrated Ambiguity and Directed Divergence”,D.S. Hooda and Rakesh K Bajaj, International Journal of General Systems,Volume 39(6), 647 - 658, August 2010.[IF:0.641; DOI:10.1080/03081079.2010.495467].
  • “On Study, Comparison and Implementation of Fuzzy Algorithm on Iris Data Set”,Kaushal Kishore Sharma, Rakesh K Bajaj and Ravindara Bhatt, Journal of Combinatorics, Information & System Sciences, 35 (3-4), 439-457, 2010.[ISSN: 0250-9628]
  • “On Some New Generalized Measures of Fuzzy Information”, Rakesh K Bajaj andD.S. Hooda, Proceeding of World Academy of Science, Engineering and Technology,62, 642 - 648, 2010. [ISSN: 2070-3724].
  • “Utilizing Fuzzy Clustering for Intrusion Detection on DARPA Data Set”, RavindaraBhatt, Rakesh K Bajaj and T.S. Lamba, International Journal of Computer,Mathematical Sciences & Applications, Vol.4(1-2), 1-13, 2010.[ISSN: 0973-6786].
  • “On Restricted Fuzzy Linear Regression Model”, Rakesh K Bajaj, Gaurav Garg andD.S. Hooda, Inter. Review of Fuzzy Mathematics, Vol.4 (1-2), 11 - 23, 2009.[ISSN:0973-4392]
  • “Fuzzy Clustering Algorithm for Testing the Convergence of projected per capitaGDP of BRIC and G6 Countries”, Rakesh K Bajaj, Amit Srivastava and D.S.Hooda, International Journal of Mathematics and Applied Statistics, Vol.1, No.11-12, 2010.[ISSN: 0973-5739][cited by: Divya Jain and Vipin Tyagi (2011)-IJCA].
  • “On Generalized R-norm Measures of Fuzzy Information”, D.S. Hooda and RakeshK Bajaj, Journal of Applied Mathematics, Statistics and Informatics, Vol. 4 No. 2,199 - 212, 2008.[ [ISSN: 1336-9180].
  • “Study of Output Convergence pattern of BRIC Economies: Application of FuzzyMathematics”, Rakesh K Bajaj and Amit Srivastava, The ICFAI University (IPU)Journal of Applied Economics, Vol. VIII, No. 3 & 4, 107 - 115 May & July2009.[ISSN: 0972-6861][cited: G Nikolic - Trite, novac, kapital, 2010, 43(2),86-98;scindeks.nb.rs]
  • “Monotonicity and Maximum Fuzziness of Fuzzy Entropy and Directed DivergenceMeasures”, Rakesh K Bajaj and D.S. Hooda, Journal of Mathematics and SystemsSciences, Vol.4 No.2, 37 -46, 2008.
  • “Measures of ‘Useful’ Fuzzy Information, Total ambiguity and Fuzzy Directed Divergence”,D.S. Hooda and Rakesh K Bajaj, Rajasthan Journal Academy of PhysicalSciences, Vol.7 No.4, 425 - 440, 2008. [ISSN: 0972-6306].
  • “Some Non-additive Generalized Information Measures and J-divergence”, D.S. Hoodaand Rakesh K Bajaj, Aligarh Journal of Statistics, 26, 65 - 79, 2006.[ISSN 0971-0388].

Papers presented in Seminar/Conferences

  • Second International Conference on Advances in Computing and Communications(ICACC 2012)/International Conference on Eco-friendly Computing and CommunicationSystems (ICECCS), a contributed talk titled “Vendor Selection under IntuitionisticTrapezoidal Fuzzy Multiple Criteria Decision Making Model with EntropyWeights” held in Rajagiri School of Engineering and Technology (RSET), Cochin,Kerala, during 9 - 11 August, 2012.
  • International Congress of Mathematicians (ICM 2010), a contributed talk titled “OnRestricted Fuzzy Linear Regression using Fuzzy Entropy”, held in Hyderabad InternationalConvention Centre, Hyderabad, India during 19 - 27 August, 2010.
  • International Congress of Mathematicians (ICM 2010), a contributed talk titled “OnSome Reliability Properties of Mean Inactivity Time Order under Weighing ”, heldin Hyderabad International Convention Centre (HICC), Hyderabad, India during 19- 27 August, 2010.
  • International Conference on Mathematics, Statistics and Scientific Computing(ICMSSC 2010) contributed talk titled “On Some New Generalized Measures ofFuzzy Information”, organized by WASET 2010 held in Penang, Malaysia during 24- 26 February, 2010.
  • International Conference on Interdisciplinary Mathematical and Statistical techniques(IMST - FIM XVIII) contributed talk titled “On Study, Comparison andImplementation of Fuzzy Algorithm on Iris Data Set”, held in JUIT, Waknaghat,Solan (HP), India during 2 - 4 August, 2009.
  • Pre-ICM International Convention on Mathematical Sciences 2008, a contributedtalk titled “On Generalized R-norm Measures of Fuzzy Information”, held in Universityof Delhi, New Delhi, India during 18 - 20 December, 2008.
  • 73rd Annual Conference of Indian Mathematical Society, presented the paper “OnGeneralized Measures of Fuzzy Directed Divergence”, University of Pune, Pune,India during 27 - 30 December, 2007.
  • 9th International Conference on BRIC, presented a research paper titled “Projectedper capita GDP Convergence Analysis of BRIC countries based on Goldman SachsReport (2003): Using Fuzzy Clustering Algorithm”, held in INMANTEC, Ghaziabad,India during 6 - 8 December, 2007.
  • International Conference on Interdisciplinary Mathematical and Statistical Techniques(IMST - FIM XIII) SCRA 2006, contributed talk titled “Some non additivegeneralized information measures and J-divergence”, held in University of Lisbon/Polytechnic Institute, Tomar, Portugal during 1 - 4 September, 2006.
  • Presented a talk on ”Applications of Graph Theory” in a Workshop on ”ComputationalAspects of Mathematics” in Sant Longowal Institute of Engineering andTechnology (SLIET), Longowal, Punjab, India in collaboration with AICTE & ISTE, New Delhi during 22 - 26 May, 2006.

Papers communicated in Journals/Conferences

  • “‘NTV’ Metric Based Entropies Of Interval Valued Intuitionistic Fuzzy Sets AndApplications In Decision Making”, Tanuj Kumar, Rakesh K Bajaj and Nitin Gupta(Communicated).
  • “On Ranking in Triangular Intuitionistic Fuzzy MCDM under (alpha; beta)-cut with ’Useful’Parametric Entropy”, Neeraj Gandotra, Rakesh K Bajaj, Harinder Singh andNitin Gupta (Communicated).
  • “Preservation Properties of the Laplace Transform and Moment Generating FunctionOrdering of Residual Life and Inactivity Time”, Neeraj Gandotra, Nitin Gupta andRakesh Kumar Bajaj (Communicated).
  • “Intuitionistic Fuzzy Weighted Linear Regression Model under Linear Restrictions”,Tanuj Kumar and Rakesh Kumar Bajaj (Communicated).
  • “Implementation of Intuitionistic Fuzzy Approach under Weights in Maximizing NetPresent Value”, Rakesh K Bajaj (In process).
  • “Evaluation and Selection of Supplier using Normal Distribution Function based‘NTV’ metric Intuitionistic Fuzzy Similarity Measure” Rakesh K Bajaj and NitinGupta (In process).
  • “On Exponential Interval Valued Intuitionistic Fuzzy Entropy of Order _ and ItsApplication in Decision Making”, Rakesh K Bajaj. (In process).

Conferences / Workshops Organized

  • Organizing Secretary and Program Chair of Second International Conference on EcofriendlyComputing and Communication Systems (ICECCS 2013) held at JaypeeUniversity of Information Technology, Waknaghat, Solan, during October 17-19,2013.

Short Term Courses/ Workshops Attended

  • Workshop on “Global Culture, Technology and Business” as Road 2 Omaha: MultilateralSummer Immersion Experience with Jaypee University System studentsdelegation, hosted by the University of Nebraska at Omaha (UNO), USA duringJune 17 - 28, 2012.
  • One day workshop on “Scilab Spoken Tutorial” organized by the Automation Lab,Chemical Engineering Department, IIT Bombay on 13th June 2012 and funded bythe National Mission on Education through ICT, MHRD, Govt. of India.
  • Workshop on “Data Mining and Parallel Computing” jointly organized by JUIT,Waknaghat & University of Florida, USA, during August 2-5, 2011 at JUIT, Waknaghat.
  • IUCEE 2011 Indo-US Faculty Leadership Institute course “Artificial Neural Networks,Pattern Recognition, Computer Vision and Multimedia Information Retrieval”from July 4-8, 2011 at JUIT, Waknaghat, Himachal Pradesh.
  • One week instructional workshop on “Computational Aspects of Mathematics” inSLIET, Longowal (Punjab), India in collaboration with AICTE & ISTE, New Delhiduring May 22-26, 2006.
  • Two week short term course on “Mathematical Methods in Engineering and Science”at I.I.T. Kanpur, India during July 3-15, 2006.

Books Published

  • “Fuzzy Sets and Information: A Generalized Approach” authored byRakesh Bajaj, D.S. Hooda and H. Singh (a monograph of my Ph.D. Thesis) withM/s. LAP Lambert Academic Publishing AG & Co., Saarbrucken, Germany,ISBN: 978-3838351483.
  • “Advances in Energy Aware Computing and Communication Systems” Editors: H.Singh, Jimson Mathew, Rakesh Bajaj, Mahesh P., McGraw Hill Education, NewDelhi, ISBN: 9-35-134332-4.

Awards andRecognition

  • R.B. Munshi Shiva Prasad Medal for Standing First in B.Sc.III in BHU, Varanasi.
  • Chaired a session in International Conference on Mathematics, Statistics and ScientificComputing (ICMSSC 2010) organized byWASET 2010 held in Penang, Malaysiaduring 24 - 26 February, 2010.
  • Chaired a session in Second International Conference on Advances in Computingand Communications (ICACC 2012) organized by Rajagiri School of Engineeringand Technology (RSET), Cochin, Kerala, India during 9 - 11 August, 2012.
  • Received Best Paper Award Nomination for the paper titled “Utility and FuzzinessAspects of the Information Measures in Experimental Observations and Computations”authored by Rakesh K Bajaj and Nitin Gupta (IEEE xplore) in theSecond International Conference on Advances in Computing and Communications(ICACC 2012)/International Conference on Eco-friendly Computing and CommunicationSystems (ICECCS), organized by Rajagiri School of Engineering and Technology(RSET), Cochin, Kerala, during 9 - 11 August, 2012.

Invited Lectures

  • Invited for a talk to TGTs of various Jawahar Navodaya Vidyalaya (JNV) in aTeacher’s development programme organized at JNV, Kunihar, Distt - Solan (H.P.)on 1st September 2012.
  • Invited for a Plenary Talk in Second International Conference on Advances in Computingand Communications (ICACC-2012)/International Conference on Eco-friendlyComputing and Communication Systems (ICECCS 2012), organized by RajagiriSchool of Engineering and Technology (RSET), Cochin, Kerala, during 9 - 11 August,2012.
  • Invited as Visiting Professor in EternalUniversity, Baru Sahib, H.P., India for aseries of guest lectures on Discrete Mathematics/Graph Theory.
  • Invited as a resource person in the Science Camps under INSPIRE Internship programmefunded by Department of Science and Technology (DST), Government ofIndia, New Delhi, organized at Shoolini University during 7th to 11th January,2011 and during 26th to 30th August, 2011.

Professional Membership and Activities

  • Elected as Joint Secretary of Forum for Interdisciplinary Mathematics (FIM)
  • Reviewer of International Journal of Network Security (IJNS).
  • Member of the Editorial Board in American Journal of Mathematics and Sciences.
  • Life Member of Forum for Interdisciplinary Mathematics (FIM)
  • Life Member of Indian Society of Technical Education(ISTE)
  • Life Member of Indian Science Congress Association (ISCA)
  • Life Member of Indian Mathematical Society (IMS)