Prof. Hemanta K. Baruah, Ph.D (IIT Kharagpur)

Honbl Vice-Chanchellor

Educational Qualifications |
M.SC. (GAU) PH.D. (IIT KHAR) |

Specialization |
Fuzzy Mathematics, Mathematical Modeling, Graph Theory, Data Mining , Queuing Theory, Linear Programming, Real Analysis, Chaos Theory |

E-mail: |
hemanta_bh@yahoo.com |

**Positions**

1. Dean of Science of the University.

2. Director, Population Research Centre, Gauhati University.

3. Member, Academic Council, Gauhati University.

**Teaching Activities**

1. Real Analysis in 1st Semester, M.Sc.

2. Linear and Non-linear Programming in 1st Semester, M.Sc.

3. Measure Theory in 1st Semester, M.Sc.

4. Data Mining in 4th Semester, M.Sc.

**Research Interests**

1. Population Projection

2. Fuzzy Mathematics

3. Mathematical Modeling

4. Graph Theory

5. Mathematics of Organized Complexity

6. Data Mining

7. Queuing Theory

8. Optimization Techniques

**Recent PublicationsIn Optimization Techniques**

1. A Two Phase Sequential Probability Ratio Test, 1978, Philippine Statistician, Vol. 27, No. 3 & 4, pp 1 – 16.

2. An Algorithm for Construction of an Optimal Sequential Sampling Plan, 1979, Proceedings of the Indian Science Congress Association, Vol. 66, (Statistics Section).

3. A Modification of the Partial Sequential Probability Ratio Test, 1980, Communications in Statistics, Theory & Methods,(USA), Vol. A9, No. 6, pp 639 – 648.

4. A Modification of the Sequential Probability Ratio Test for Testing A Normal Mean, 1980, The Australian Journal of Statistics, Vol. 22, No. 2, pp 178 – 187.

5. A Generalization of Anderson’s Modified Sequential Probability Ratio Test, 1981, Journal of Statistical Computation and Simulation, (USA), pp 197 – 208.

6. A Generalized SPRT for Testing the Equality of two Poisson Means, 1992, Gauhati University Journal of Science, Vol. 21, pp 47 – 49.

7. Partial Andersonian Sequential Probability Ratio Test, 1992, Gauhati University Journal of Science, Vol. 21, pp 57 – 61.

8. One Dimensional Random Walk with Absorbing Barriers, 1994, Bulletin of the Gauhati University Mathematics Association, Vol. 1, pp 61 – 67.

**In Mathematics of Organized Complexity**

1. Effect of Fuzziness on Random Observations: the Case of Regression, 1994, Journal of the Assam Science Society, Vol. 36, No. 4, pp 234 - 242.

2. A Note on Linear Models under Trapezoidal Fuzziness, 1995, Contributions to Applied and Mathematical Statistics, Vol. 1, pp 84 -86.

3. The Latin Square Design using Fuzzy Data, 1997, Journal of Fuzzy Mathematics, (USA), Vol. 5, No. 4, pp 767 – 779.

4. Set Superimposition and Its Application to the Theory of Fuzzy Sets, 1999, Journal of the Assam Science Society, Vol. 40, No. 1 & 2, pp 25 – 31.

5. Fuzzy Membership with respect to a Reference Function, 1999, Journal of the Assam Science Society, Vol. 40, No. 3, pp 65 – 73.

6. Numerical Integration Using Fuzzy Data, 2002, Bulletin of Pure & Applied Sciences, Vol. 21E, No. 2, pp 437 – 439.

7. Fuzzy Arithmetic without Using the Method of α – Cuts, 2003, Bulletin of Pure & Applied Sciences, Vol. 22E, No. 1, pp 45 – 54.

8. Towards Linking Fuzziness and Randomness, 2003, Journal of the Assam Science Society, Vol. 43, June, pp 112 – 114.

9. Ring of Equivalence Classes of Fuzzy Numbers, 2004, Journal of the Assam Science Society, Vol. 45, December, pp 9 – 12.

10. The Possibilistic Mean from a Probabilistic Standpoint, 2004, Assam Statistical Review, Vol. 18, No.1, pp 31 – 38.

11. Iterative Computation of Eigenvalues and Corresponding Eigenvectors of A Fuzzy Matrix, 2004, Journal of Fuzzy Mathematics, (USA), Vol. 12, No. 2, pp 285 – 294.

12. Solution of a Linear Programming Problem with Fuzzy Data, 2004, Journal of Fuzzy Mathematics, (USA), Vol. 12, No. 4, pp 793 – 811.

13. Some Characteristics of Group of Equivalence Classes of Fuzzy Numbers, 2005, Far East Journal of Mathematical Sciences, Vol. 16, No. 3, pp 301 – 311.

14. The Theory of Fuzzy Sets from A New Perspective, 2005, Applied Mathematics E – Notes (Poster), (Taiwan). It is available on the Web since April 27, 2005.

15. A Study of Some Statistical Parameters in Fuzzy Setting, 2005, Far East Journal of Mathematical Sciences, Vol. 17, No. 4, pp 393 – 403.

16. Solution of the Transportation Problem in Fuzzified Form, 2007, Journal of Fuzzy Mathematics, (USA), Vol. 15, No. 1, pp 79 – 95.

17. The Method of Successive Approximation of the System of Linear Equations in Fuzzified Form, 2007, Journal of Fuzzy Mathematics, (USA), Vol. 15, No. 1, pp 97 – 108.

18. Fuzzy Time Series Analysis, 2007, Journal of Fuzzy Mathematics, (USA), Vol. 15, No. 3, pp 513 – 523.

19. Sequential Probability Ratio Test with Fuzzy Observations, 2007, Journal of Fuzzy Mathematics, (USA), Vol. 15, No. 3. 627-643.

**In Mathematical Modeling**

1. A Population Dynamics Model with Time Dependent Mortality, 1990, Journal of the Assam Science Society, Vol. 32, No. 4, pp 1 - 4.

2. A Dynamic Model of Population Growth in India, 1990, Journal of the Assam Science Society, Vol. 33, No. 1, pp 49 – 53.

3. Two New Models of Population Projection, 1991, Journal of the Assam Science Society, Vol. 33, No. 4, pp 50 – 55.

4. A Numerical Method of Population Projection, 1993, Journal of the Assam Science Society, Vol. 35, No. 3, pp 170 – 179.

**In Graph Theory**

1. On Isomorphism of Graphs, 1998, Proceedings of the Forty Second Congress of the Indian Society of Theoretical and Applied Mechanics, Indian Institute of Technology, Kharagpur, pp 179 - 188.

2. Properties of Sub graphs and Complete Graphs, 2000, Proceedings of National Conference on Discrete Mathematics and Applications, Tirunelveli.

**In Stochastic Processes**

1. Analysis of a Poisson Queue with a Threshold Policy and a Grand Vacation Process: An Analytic Approach, 2000, Sankhya, Series B, Indian Statistical Institute, Kolkata, Vol. 62, Part 2, pp 303 - 316.

**In Data Mining**

1. Finding Locally and Periodically Frequent Sets and Periodic Association Rules, Pattern Recognition and Machine Intelligence, Lecture Notes in Computer Science, Springer Verlag, Berlin, December, 2005, pp 576 - 582.

2. Introducing Fuzziness in Mining Maximal Frequent Intervals, Proceedings of the International Conference on Cognition and Recognition, Mysore, December, 2005, pp 291 - 295.

**Research Students**

Dr. Dhritikesh Chakravarty (Mathematical Modeling)

Dr. Pranita Goswami (Fuzzy Statistics)

Dr. Bichitra Kalita (Graph Theory)

Dr. Makani Das (Fuzzy Numerical Analysis)

Dr. Fokrul Alam Majorbhuiya (Data Mining )