Bhutani CV

CURRICULUM VITAE

Kiran R. Bhutani, Professor
Department of Mathematics
The Catholic University of America
Washington, D.C. 20064
Phone: 202-319-5221 (email: bhutani@cua.edu)

Education:

McMaster University, Hamilton, Ontario, Canada, Ph.D. Mathematics, May 1983
Thesis Title: Abelian Groups in a Topos of Sheaves on a Locale
Advisor: Professor Benhard Banaschewski

McMaster University, Canada, M.Sc. Mathematics, June 1979
Indian Institute of Technology, New Delhi, India, M.Sc. Mathematics, June 1975
Delhi University , India, BA (honors), Mathematics, 1973

College or University Faculty Experience:

The Catholic University of America, Washington D.C.
Professor: September 2003 -Present
Associate Professor: September 1992-August 2003
Assistant Professor: September 1986 -August 1992

George Mason University, Fairfax, VA
Visiting Assistant Professor, Sept. 85 -Aug. 86
St. Stephen’s College, Delhi University, India
Lecturer, July 75 -July 78

Publications: Books:

1. John Mordeson, Kiran R. Bhutani and Azriel Rosenfeld, Fuzzy Group Theory, Springer-Verlag, 2005.

Refereed Articles:

1. John N. Mordeson and Kiran R. Bhutani, Vague groups and vague .elds, Journal of Fuzzy Mathematics, 15 (2007), no. 4, 927-944.  

2. Bilal Khan, Kiran R. Bhutani and Delaram Kahrobaei, A Graphical Generalization of Arithmetic, Integers, Electronic Journal of Combinatorial Number Theory, 7 (2007), #A12

3. Kiran R. Bhutani and John N. Mordeson, Similarity Relations, Vague Groups and Fuzzy Subgroups, New Mathematics & Natural Computations, Vol. 2 (2006), 195-208.

4. Kiran R. Bhutani and Bilal Khan, Distance Between Graphs Using Graph Labelings, Ars Combinatoria, 77 (2005) 45 -52.  

5. Kiran R. Bhutani and John N. Mordeson, Vague Groups and O Vague Groups, New Mathematics & Natural Computations, Vol. I (2005), no. 2, 229 -242.  

6. Kiran R. bhutani, R. L. Crist and John Mordeson, Free (s, t]-fuzzy subgroups, J. Fuzzy Math. 13 (2005), no. 4, 983–993.

7. Kiran R. Bhutani, John Mordeson and Azriel Rosenfeld, On Degrees of End Nodes and Cut Nodes in Fuzzy Graphs, Iranian Journal of Fuzzy Systems, Vol I, (2004), no. 1 57-64.  

8. Kiran R. Bhutani and Bilal Khan, Optimal Distribution of a Hierarchy of Network Management Agents, Information Sciences 149 (2003), 235-248.

9. Kiran R. Bhutani, Abdella Battou and Bilal Khan, Two Approaches For Aggregation Of Peer Group Topology in Hierarchical PNNI Networks, Journal of Intelligent Automation and Soft Computing, AutoSoft Press, vol. 6 no. 2 (2000), 125-134.

10. Kiran R.Bhutani and Bilal Khan, A Metric on the Set of Connected Simple Graphs of a Given Order, Aequationes Mathematicae, 66(3), 232-240, December 2003.  

11. Kiran R. Bhutani and Abdella Battou, On M-strong Fuzzy Graphs, Information Sciences, vol. 155 (2003), 103-109.

12. Kiran R. Bhutani and Azriel Rosenfeld, Geodesics in Fuzzy Graphs, Electronic Notes in Discrete Mathematics, Vol. 15 (2003) 51 -54.

13. Kiran R. Bhutani and Azriel Rosenfeld, Strong Arcs in Fuzzy Graphs, Information Sciences, vol. 152 (2003) 319-322.

14. Kiran R. Bhutani and Azriel Rosenfeld, Fuzzy End Nodes in Fuzzy Graphs, Information Sciences, vol. 152 (2003), 323-326.  

15. Kiran R. Bhutani and Azriel Rosenfeld, Dissimilarity Measures Between Fuzzy Sets or Fuzzy Structures, Information Sciences, vol. 152 (2003), 313-318. [Also appeared as a chapter in a book; see book chapter item on next page].

16. Kiran R. Bhutani, B.B. Chaudhuri and Azriel Rosenfeld, Corrigendum to: A Modi.ed Hausdor. Distance Between Fuzzy Sets, Information Sciences 148 (2002) 233-234.

17. Kiran R. Bhutani and Alexander Levin, The problem of sawing a chain, Journal of Recreational Mathematics, vol. 31, No. 1 (2002-2003), 32 -35.  

18. Kiran R. Bhutani and Alexander Levin, Graceful Numbers, International Journal of Mathematics and Mathematical Sciences, vol. 29(2002), no. 8, 495-499.  

19. Kiran R. Bhutani and Abdella Battou, An Application of Fuzzy Relations to Image Enhancement, Pattern Recognition Letters 16(1995) 901-909.

20. Kiran R. Bhutani, On Functors Between Categories of Fuzzy Structures, Journal of Fuzzy Mathematics, vol. 3, No.3 (1995), 671-681.

21. Kiran R. Bhutani, Fuzzy Sets, Fuzzy Relations and Fuzzy Groups: Some Inter-relations, Information Sciences 73(1993), 107-115.

22. Kiran R. Bhutani, On Automorphisms of Fuzzy Graphs, Pattern Recognition Letters, vol. 9 (1990), 159-162.  

23. Kiran R. Bhutani, Stability of Abelian Groups in a Topos of Sheaves, Journal of Pure and Applied Algebra, vol 68(1990), 47-54.

24. Kiran R. Bhutani, Abelian Groups in a Topos of Sheaves:     Torsion and Essential Extensions, International Journal of Mathematics and Mathematical Sciences, vol. 12, No. 1(1989), 89-98.  

25. Kiran R. Bhutani, Characterizing Complete Boolean Algebras in Terms of Pure Essentialness, Bulletin of the Australian Mathematical Society, vol. 38(1989), 23-30.

26. Kiran R. Bhutani, Injectivity and Injective Hulls of Abelian Groups in a Localic Topos, Bulletin of the Australian Mathematical Society, vol. 37, no. 1 (1998), 43 -59.

27. B. Banaschewski and Kiran R. Bhutani, Boolean Algebras in a Localic Topos, Mathematical Proceedings of the Cambridge Philosophical Society, vol. 100, Part I (1986), 43-56.  

Papers Submitted

1. John N. Mordeson, Kiran R. Bhutani and Terry D. Clark, The Rationality of Fuzzy Choice Functions.

Papers in Progress

1. Bilal Khan and Kiran R. Bhutani, On Sparse Goldbach Sets.

2. Bilal Khan and Kiran R. Bhutani, Overlay Networks and Graph Compressibility.

3. Kiran R. Bhutani and Bilal Khan, A Metric Representing Dilation Between Connected Simple Graphs of a Given Order.

4. Bilal Khan and Kiran R. Bhutani, Graphic arithmetic:  . irreducibility, canonical decompositions and cancellation laws.  

Book in Progress

1. John Mordeson and Kiran R. Bhutani, Fuzzy Graph Theory [In Preparation].

Recent Conference Proceedings

1. Bilal Khan and Kiran R. Bhutani, On Sparse Goldbach sets, ICM 2008, March 3 -6, Al Ain, UAE.

2. Bilal Khan and Kiran R. Bhutani, Graphic Arithmetic II: + Irreducibility, Canonical Decompositions and Cancellation Laws, ICM 2008, March 3 -6, Al Ain, UAE.  

3. Bilal Khan and Kiran R. Bhutani, Compression and Expansion in Graphs using Overlays, ICM 2008, March 3 -6, Al Ain, UAE.  

4. Kiran R. Bhutani and John Mordeson, On H-Vague Groups, Proceedings of the 10th Joint Conference on Information Sciences, JCIS 2007, Salt Lake City.

5. Kiran R. Bhutani, John Mordeson and P. Kumar Saha, (s,t]-Fuzzy Graphs, 8th Joint conferences on Information Sciences JCIS 2005 Salt Lake City.

6. Kiran R. Bhutani, John Mordeson and Azriel Rosenfeld, Properties of Geodesics in Fuzzy Graphs, Proceedings of the 7th Joint Conference on Information Sciences, September 2003, Raleigh NC.

7. Kiran R. Bhutani and Bilal Khan, Minimizing Computational Load and Communication Cost In Multi-Agent Systems, Proceedings of the International Conference on Parallel and Distributed Computing and Systems held at MIT, Cambridge, November 2002.

Book Chapter: Kiran R. Bhutani and Azriel Rosenfeld, Dissimilarity Measures Between Fuzzy Sets or Fuzzy Structures. This paper (item 10 in publication) has appeared as Chapter 5 in the book: Soft Computing Approach To Pattern Recognition and Image Processing, Series in Machine Perception Arti.cial Intelligence, Volume 53, Published by World Scienti.c, 2002.

Technical Reports:

1. Kiran R. Bhutani, A. Farsaie and B. Day, A fuzzy neural model for target recognition, (Application of fuzzy graph theory) Naval Surface Warfare Center, White Oak, TR 91-76.

2. Kiran R. Bhutani, An algorithm for optimization of pipe line deployment routes. (Application of graph theory). TCN 94-167, US Army, Ft. Belvoir, VA.

3. Kiran R. Bhutani, Analysis of quality conformance testing for water desalination, (Applied tools from Statistics) TCN: 95-142, US Army, Ft. Belvoir, VA.

4. Kiran R. Bhutani, On Assigning Intervals of Priorities to Alternatives  in a Multi-Criterion Decision Making Situation, (Applied tools from Statistics/fuzzy sets ) Edge-wood Research, Develop. and Eng. Center, MD, TCN Number: 96-156.  

5. Kiran R. Bhutani, On Veri.cation of Structural Designs in Work.ow Graphs, (App. Graph theory) Tech. Report, Naval Research Lab, Washington DC, August 1999.

 Professional and Research Experience:

1. Won research contracts (2000 and 2001) by the Naval Research Lab, Washington D.C., for investigating applications of graph theory to distributed computing.

2. Won research contract (2000) by the National Library of Medicine, National Institutes of Health, Bethesda, Maryland. I investigated applications of fuzzy theory in developing methods for automating the task of segmentation and classi.cation of cervical and lumbar spine vertebrae in digitized X-ray images, a topic of interest to researchers working in the area of Osteophytes and Osteoarthritis. A prototype system using MATLAB’s Graphical User Interface was developed.

3. Won summer faculty fellowships (1994,1995, 1996 and 1999) by di.erent agencies of DOD for investigating applications of graph theory.  

4. Research Contract awarded by Kaman Sciences corp. (1997): developed an algorithm for aggregation of peer group topology for routing in hierarchical ATM networks.  

5. Awarded research contract (1996) by the Naval Research Laboratory, Washington D.C. for conducting research involving Virtual Paths in ATM networks. I investigated applications of Graph theory in this emerging area of Asynchronous transfer mode.

6. January 7, 1990 -January 6, 1991: Postdoctoral Fellow, sponsored by the O.ce of Naval Technology. I investigated the feasibility of using Arti.cial Neural Network technology for solving problems in pattern recognition. I was exploring graph theoretic and fuzzy set approaches for developing a neural network model. During this period a multi-level, multi-layer model based on fuzzy theory for classi.cation was developed.  

7. May 1984-September 1985: Visiting Associate, Division of Computer Research and Technology, National Institutes of Health, Bethesda, MD. This gave me an opportunity to get  hands-on experience with applications of Mathematics for biomedical research. Besides the research that I was doing in Category Theory, I was involved with REDUCE, the system for algebraic and symbolic manipulation and its potential usefulness for problems in Math and Statistics of interest to NIH community.

8. May 1983-August 1983: Postdoctoral Fellow, Department of Mathematics, McMaster University, Hamilton, Ontario, Canada.

Professional Services:

1. Associate Editor of the Journal, Intelligent Automation and Soft Computing, Auto Soft Press, Albuquerque, NM, USA.  

2. I was invited to serve on the math panel (chaired it twice), for evaluating applications to the National Defense Science and Engineering Graduate Fellowships Program (1997, 1998, 2000 -2008).  

3. I have also been invited to serve on a defense panel for evaluating applications submitted for postdoctoral fellowships/grants to various DOD agencies.  

4. I was invited by the American Association of University Women Educational Foundation to be chair of the math panel for evaluating applications in the selected Professions Fellowship Program (1996, 1997, 1998, 1999).

5. I was a reader for doctoral dissertation of three students in Electrical Eng. Department at CUA. Their research was in fuzzy theory and applications of graph theory.  

6. I have been a referee for the following Journals: IEEE transactions on fuzzy systems, Pattern Recognition Letters, Information Sciences, Journal of Fuzzy Mathematics, Iranian Journal of Sciences, Integers Journal, Intelligent Automation and soft Computing, Journal of Approximate Reasoning, Indian Journal of Pure and Applied Mathematics published by the Indian National Science Academy.

7. I was involved with the Preparing Future Faculty Program within The Howard University Cluster.

8. Member of the Committee on Appointments & Promotions in the school of Arts & Sciences at CUA.

9. Member of the Academic Senate at The Catholic University of America.  

Awards and Other Distinctions:

1. Awarded research contracts by Naval Research Lab in 1996, 1997, 2000 and 2001.  

2. Awarded research contract in 2000 by the National Institutes of Health, Maryland.  

3. Awarded DOD Summer faculty fellowships in 1994, 1995, 1996 and 1999.  

4. Awarded Intergovernmental Personnel Act contract by the Naval Surface Warfare Center. (January 1991 -September 1991).  

5. Awarded postdoctoral fellowship by the O.ce of Naval Technology, for pursuing work in Neural Networks (January 1990 -December 1990).  

6. Awarded Canadian Commonwealth Scholarship to pursue Ph.D. in Mathematics (1978-1983). It was an India-wide competition.  

7. In recognition of my status as a Commonwealth Scholar in the Ph.D. program, I was awarded McMaster University Scholarship (1979-1983).

8. Ranked highest at the Entrance Exam and First Year Exam in M.Sc. Mathematics (1974 and 1975) at the Indian Institute of Technology, New Delhi, India. Awarded merit prizes in 1974 and 1975.  

9. Government of India Merit Scholarship while pursuing M.Sc. Mathematics at the Indian Institute of Technology (1973-1975).

10. Ranked .rst amongs all graduating female students at Delhi University in 1973. I was awarded for that.

11. Merit Scholarship in my second year while pursuing BA honors in Mathematics, Delhi University, India (1971-1972).