Emeritus Professor Anthony Greville Shannon AM

Fellow, Warrane College, The University of New South Wales

PO Box 123, Kensington NSW 1465, Australia

Current and recent academic roles

  • Deputy Chancellor, University of Notre Dame Australia (2016-);
  • Emeritus Professor, University of Technology Sydney, Australia;
  • Adjunct Professor, Central Queensland University, Australia;
  • Foundation Dean, Graduate Research School, UTS, Australia;
  • Patron, Foundation of the Pontifical University of the Holy Cross, Rome, Italy;
  • Deputy Chair, Council, St John’s College, the University of Sydney;
  • Member, Register of Experts for Quality Assessment of Universities, Papua New Guinea;
  • Member, Panel of Experts, Tertiary Education Quality and Standards Agency, Australia;
  • Member, Appeals Committee, Royal Australasian College of Physicians (Aust & New Zealand);
  • Sector/Subject Specialist, Council for Accreditation of Academic Qualifications, Hong Kong;
  • Supervision and examination of PhD candidates at several universities in various countries.

Academic Degrees Awarded

  • BSc (1961) DipEd (1962) MA (1973) PhD (1976) MLitt (1985) EdD (1997) DSc (1998)

Honours

  • AM: Member of the Order of Australia (Queen Elizabeth’s Birthday Honours List, 1987) for contributions to Education particularly in the field of Applied Mathematics
  • Knight Commander with Star of the Equestrian Order of the Holy Sepulchre of Jersualem (KC*HS) for contributions to Education

Professional Societies: I am, or have been, a member of the

  • Royal Society of Medicine (Fellow: FRSocMed)
  • College of Preceptors (Fellow: FCP)
  • Institute of Mathematics & Its Applications (Fellow: FIMA & Chartered Mathematician: CMath)
  • Australian Mathematical Society (Fellow: FAustMS & Life Member)
  • Australian College of Educators (Fellow: FACE, Life Member, Former State Presdient)
  • New York Academy of Sciences (Member)
  • Indian Mathematical Society (Life Member)
  • Bulgarian Union of Scientists (Jubilee Member)
  • Korean Jangjeon Mathematical Society (Managing Editor)

Current Editorial Board Memberships

  • Advanced Studies in Contemporary Mathematics (former Managing Editor)
  • Education Today (former Guest Editor)
  • International Journal Bioautomation
  • International Journal of Mathematical Education in Science and Technology
  • Notes on Intuitionistic Fuzzy Sets
  • Notes on Number Theory and Discrete Mathematics (Joint Editor in Chief)
  • Proceedings of the Jangjeon Mathematical Society (former Managing Editor)

Selected Publications (First and last few in each category - complete list available on request)

Books and Monographs

  • Shannon, AG., L. G. Dale. How Hot Is It? (Junior Secondary Science Project, Green Series 5) Melbourne: Cheshire, 1968.[**]
  • Shannon, AG., L. G. Dale. Forces and Interactions. (JSSP Red Series, Unit 4) Melbourne: Cheshire, 1968.
  • Shannon, AG., L. G. Dale. Work and Energy. (JSSP Red Series, Unit 6) Melbourne: Cheshire, 1969.
  • Allen, AL., R. P. Sullivan, A. G. Shannon. Collecting and Selecting. (A Teachers’ Guide to Set Theory and Logic) Konedobu: PNG Department of Education, 1970.
  • Shannon, AG., Y. K. Yap. An Introductory Background to Propositional Logic. Sydney: NSWIT Union, 1982.
  • Philps, R., A. G. Shannon (eds). What Do We Expect of Education? Melbourne: Australian College of Education, 1983.
  • Shannon, AG., B. A. Hortle, Computers in Schools. Melbourne: Australian College of Education, 1983.
  • Shannon, AG., A Meta-analysis of Research on Diabetic Microangiopathy. Sydney: Kellion Foundation, 1984.

…

  • Roeva, O., T. Pencheva, A. Shannon, K. Atanassov. 2013. Generalized Nets in Artificial Intelligence, Vol. 7: Generalized Nets and Genetic Algorithms. Sofia: Prof. M. Drinov Academic Publishing House [ISBN 978-954-322-700-6].
  • Graham, Clive, Shannon, Tony (Eds). 2013. The Australian Institute of Music Occasional papers Research and Scholarship. Volume 4. Sydney/Melbourne: AIM [ISBN 978-0-9942256-3-4].
  • Graham, Clive, Shannon, Tony (Eds). 2014. The Australian Institute of Music Occasional papers Research and Scholarship. Volume 5. Sydney/Melbourne: AIM [ISBN 978-0-9942256-4-1].
  • Graham, Clive, Shannon, Tony (Eds). 2015. The Australian Institute of Music Occasional papers Research and Scholarship. Volume 6. Sydney/Melbourne: AIM [ISBN 978-0-9942256-5-8].
  • Crothers, J.N., Shannon, A.G. 2016. Quantics: Diophantine Congruences in Special Fibonacci Lattices. Ahmedabad: Sara Books [978-1-63040-806-0].

Chapters in Books

  • Shannon, AG., Some problems and solutions, in Majorie Bicknell and Verner E Hoggatt Jr (eds) Fibonacci’s Problem Book, Fibonacci Association, San Jose State University, 1974, pp. 8, 23, 39, 55, 56.
  • Horadam, A.F.,R. P, Loh, A. G. Shannon. Divisibility properties of some Fibonacci-type sequences, in A.F. Horadam and W. D. Wallis (eds), Combinatorial Mathematics VI, Springer-Verlag, Heidelberg, 1979, 55-64.
  • Shannon, AG., P. Lamb. Introductory Chapter to Philps and Shannon, What Do We Expect of Education, Australian College of Education, Carlton, 1983, 1–4, 46.
  • Sekhon, JG., A. G. Shannon, C. Chiarella, A. F. Horadam. Mathematical modelling and the preparation of industrial mathematicians, in J.S. Berry, D.N. Burghes, I.D. Huntley, D.J.G. James and A.O. Moscardini. Teaching and Applying Mathematical Modelling, Ellis Horwood, Chichester, 1984, 235–245.
  • HoradamA.F., A. G. Shannon. Cyclotomy-generated polynomials of Fibonacci-type, in A. N. Philippou, G. E. Bergum and A. F. Horadam (eds), Fibonacci Numbers and Their Applications, Reidel, Dordrecht, 1986, 81–97.
  • Owens, D.R., A. G. Shannon, I. R. Jones, J. Bora, T. M. Hayes, S. Luzio, S. Williams. Metabolic and hormonal derangement in newly presenting, previously untreated non-insulin dependent diabetic patients, in R. Tattersall (ed), Non Insulin Dependent Diabetes Mellitus, Novo, Copenhagen, 1986, 23–28.

…

  • Atanassov, Krassimir, Evdokia Sotirova, Veselina Bureva, Anthony Shannon. 2013. Temporal Intuitionistic Fuzzy Index matrices. In Krassimir Atanassov, Janusz Kacprzyk, Maciej Krawczak, Eulalia Szmidt (eds). Issues in Intuitonistic Fuzzy Sets and Generalized Nets. Volume 10. Warsaw: Warsaw School of Information Technology [ISBN 978-83-61551-08-9], pp.54-65.
  • Andonov, Velin, Anthony Shannon. 2015. Intuitionistic evaluation of the behavior of tokens in Generalized Nets. In P. Angelov and S. Sotirov (eds) ]. Advances in Intelligent Systems and Computing. 322. Studies in Fuzziness and Soft Computing 332. Berlin: Springer-Verlag,. pp.633-644. [ISBN 978-3-319-11313-5]..
  • Pencheva, Tania, Olympia Roeva, Anthony Shannon. 2016. Generalized Net Models of Basic Genetic Algorithm Operators. In P. Angelov and S. Sotirov (eds). Imprecision and Uncertainty in Information Representation and Processing. Studies in Fuzziness and Soft Computing 332. Berlin: Springer-Verlag, Ch2, pp.305-325. [ISBN 978-3-319-26301-4].
  • Pencheva, Tania, Olympia Roeva, Anthony Shannon. 2016. Generalized Net Models of Basic Genetic Algorithm Operators. In P. Angelov and S. Sotirov (eds). Imprecision and Uncertainty in Information Representation and Processing. Studies in Fuzziness and Soft Computing 332. Berlin: Springer-Verlag, Ch2, pp.305-325. [ISBN 978-3-319-26301-4].
  • Shannon, A.G. 2016. Intuitionistic Fuzzy Logic and Provisional Acceptance of Scientific Theories. In P. Angelov and S. Sotirov (eds). Imprecision and Uncertainty in Information Representation and Processing. Studies in Fuzziness and Soft Computing 332. Berlin: Springer-Verlag, Ch.2, pp.15-23. [ISBN 978-3-319-26301-4]

Mathematics Articles

  • Shannon, AG., Recurrence relations and stochastic service systems. Polygon. 2, 1, 1970, 12–16.
  • Shannon, AG., A. F. Horadam. Reciprocals of generalized Fibonacci numbers. Fibonacci Quart. 9, 3, 1971, 299–306.
  • Shannon, AG., A. F. Horadam. A generalized Pythagorean theorem. Fibonacci Quart. 9, 3, 1971, 307-–312.
  • Shannon, AG., A. F. Horadam. Generating functions for powers of third order recurrence sequences. Duke Math. J. 38, 4, 1971, 791–794.
  • Shannon, AG., A. F. Horadam. Some properties of third order recurrence relations. Fibonacci Quart. 10, 2, 1972, 135–145.
  • Shannon, AG.. Iterative formulas associated with generalized third order recurrence relations. SIAM J Appl Math. 23, 3, 1972, 364–8.

…

  • Leyendekkers, J.V., Shannon, A.G. 2016. Sequences obtained from x2 ± y2. Notes on Number Theory and Discrete Mathematics. 22 (2): 58-63.
  • Shannon, A.G. 2016. Catalan triangles and Finucan’s hidden folders. Notes on Number Theory and Discrete Mathematics. 22 (2): 10-16.
  • Shannon, Anthony, Vassia Atanassova, Krassimir Atanassov. 2016. Operation “concatenation” over intuitionistic fuzzy index matrices. Notes on Intuitionistic Fuzzy Sets. 22 (3): 106-111.
  • Shannon, A.G., J.V. Leyendekkers. 2016. Unit fractions and the Erdös-Straus conjecture. Journal of Advances in Mathematics 12(6): 6295-6303.

Medicine Articles

  • Rozsasi, R.I., A. G. Shannon. An analog computer simulation of diabetes mellitus. Reflections. 7, 3, 1982, 9–11.
  • Shannon, AG., Combination and comparison of research results: applications to diabetic microangiopathy. Proceedings of the Australian Diabetes Society, 1984.
  • Colagiuri, S., A. G. Shannon, R.G. Moses. Development of an insulin dosage meter. Proceedings of the Australian Diabetes Educators Association, 1985, E7.
  • Moses, R.G., S, Colagiuri, A. G. Shannon. Effectiveness of mass screening for diabetes using random capillary blood glucose measurement. Medical Journal of Australia. 143, 1985, 544–546. (Abstract in S. Baba (ed.) Diabetes Research and Clinical Practice, Elsevier, Amsterdam, 1985, p. S395.)

…

  • Shannon, A.G. 2010. Gamma Variate Analysis of Insulin Kinetics in Type 2 Diabetes. International Journal Bioautomation. 14 (4): 263-270.
  • Shannon, Anthony G. 2011. Reflections on Some Mathematical Modeling in Endocrinology. International Journal Bioautomation. 15 (3): 182-199.
  • Shannon, Anthony G., Hung T. Nguyen. 2013. Empirical Approaches to the Application of Mathematical Techniques in Health Technologies. International Journal Bioautomation. 17 (3): 125-150.
  • Ribagin, Simeon, Anthony Shannon, Maciej Krawczak, Krassimir Atanassov. 2015. Intuitionistic fuzzy evaluations of the elbow joint range of motion in the sagittal plane. Notes on Intuitionistic Fuzzy Sets, 21 (2): 134–139.

Education Articles

  • Shannon, AG. The art that is called modern. Studies. 34, 2, 1961, 67–60.
  • Shannon, AG.. Nobody wants State Aid, in S E Lee (ed), Drylight, The Teachers’ College, Sydney, 1961, 45–50.
  • Wright, F.I., A. G. Shannon. A London GCE Physics programme. Aust Sc Teachers’ J. 12, 1, 1966, 57–65.
  • Shannon, AG.. Science through mathematics. Aust Sc Teachers’ J. 13, 3, 1967, 94–99.
  • Shannon, AG.. Individual study for Forms V and VI: Generating functions. Aust Math Teacher. 24, 4, 1968, 59–60.

…

  • Sotirova, Evdokia, Anthony Shannon, Sotir Sotiriv, Maciej Krawczak. 2014. Intuitionistic fuzzy estimation of the doctoral comprehensive examination. Notes on Intuitionistic Fuzzy Sets. 20 (2): 119-125.
  • Galeazzi, Michael, Zofia Krawczyk-Bernotas, Anthony G Shannon. 2015. Graduate folio presentations in the creative & performing arts. International Journal of Research in Education Methodology. 7 (3): 1158-1175.
  • Leyendekkers, J.V., A.G. Shannon. 2015. The odd number sequence: squares and sums. International Journal of Mathematical Education in Science & Technology. 46 (8): 1222-1228.
  • Shannon, Anthony G., Zofia Krawczyk-Bernotas. 2015. Effective teaching techniques at the tertiary level. International Journal of Research in Education Methodology. 7 (1): 1073-1077.
  • Sotirova, Evdokia, A.G. Shannon. 2015. Application of InterCriteria Decision Making to the rankings of Australian universities. Notes on Intuitionistic Fuzzy Sets. 21 (4): 136-142.

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