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Fuzzy, Intuitionistic Fuzzy, What Next? Read chapter Read first chapter

2016 | OriginalPaper | Chapter

Intuitionistic Fuzzy Logic and Provisional Acceptance of Scientific Theories: A Tribute to Krassimir Atanassov on the Occasion of His Sixtieth Birthday

Author : A. G. Shannon

Published in: Imprecision and Uncertainty in Information Representation and Processing

Publisher: Springer International Publishing

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Abstract

This essay attempts to outline some essential features of Atanassov’s intuitionistic fuzzy logic within the framework of the philosophy of science. In particular, it aims to highlight the brilliance of Atanassov’s conceptual and symbolic originality. It also illustrates the danger of the univocal caricaturing of scientific terminology.

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previous chapter Fuzzy, Intuitionistic Fuzzy, What Next?
next chapter On the Atanassov Concept of Fuzziness and One of Its Modification
Literature
1.
Lam, H.K., Ling, S.H., Nguyen, H.T.: Computational Intelligence and Its Applications. Imperial College Press, London (2012)CrossRef
2.
Shannon, A.G., Nguyen, H.T.: Empirical approaches to the application of mathematical techniques in health technologies. Int. J. Bioautomation 17(3), 125–150 (2013)
3.
Atanassov, K.T., Vassia Atanassova, A.G., Shannon, J.C.T.: New Visual Perspectives on Fibonacci Numbers. World Scientific, New York/Singapore (2002)CrossRefMATH
4.
Atanassov, K.: General index matrices. Comptes rendus de l’Académie Bulgare des Sciences 40(11), 15–18 (1987)MATH
5.
Atanassov, K.: Theory of generalized nets: a topological aspect. Methods Oper. Res. 51, 217–226 (1984)MathSciNetMATH
6.
McCulloch, W., Pitts, W.: A logical calculus of the ideas immanent in nervous activity. Bull. Math. Biophysics 5(4), 115–133 (1943)MathSciNetCrossRefMATH
7.
Polikarov, A., Atanassov, K.: Refutability of physical theories: a new approach. Notes Intuitionistic Fuzzy Sets 8(2002), 37–41 (2002)MathSciNetMATH
8.
Russell, B.: Vagueness. Aust. J. Philos. 1(1), 84–92 (1923)
9.
Poincaré, H.: Science and Hypothesis. Walter Scottp,xxi, London (1905)MATH
10.
Maurer, A.: St. Thomas Aquinas: The Division and Methods of the Sciences, pp. 51–52. (Pontifical Institute of Medieval Sciences, Toronto 1958)
11.
Atanassov, K.T., Shannon, A.G.: A note on intuitionistic fuzzy logics. Acta Philosophica 7, 121–125 (1998)
12.
Carnap, R.: Logical Foundations of Probability. University of Chicago Press, Chicago, IL (1962)MATH
13.
Popper, K.R.: The Logic of Scientific Discovery. Hutchinson, London (1959)MATH
14.
Duhem, P.: The Aim and Structure of Physical Theory. Atheneum, New York (1954)MATH
15.
Einstein, A.: The Collected Papers, vol. 2, p. 283. Princeton University Press, Princeton, NJ (1989)
16.
Abboud, A.J.: The fundamental moral philosophy of Peter singer and the methodology of utilitarianism. Cuadernos Filosofía 18, 1–105 (2008)
17.
Franklin, J.: What Science Knows and How it Knows It. Encounter Books, New York (2009)
18.
Atkins, P.: The Limitless Power of Science. In: Cornwell, J. (ed.) Nature’s Imagination—The Frontiers of Scientific Vision, p. 125. Oxford University Press, Oxford (1995)
19.
Burke, C.: Authority and Freedom in the Church, p. 76. Four Courts Press, Dublin (1988)
20.
Charlesworth, M.J. (ed.): St. Anselm’s Proslogion. University of Notre Dame Press, Notre Dame, IN (2003). Translator & editor
21.
Hitchens, C.: God Is Not Great: How Religion Poisons Everything. Twelve Books, New York (2007)
22.
McCaughan, J.B.T.: Capillarity—a lesson in the epistemology of physics. Phys. Educ. 22, 100–106 (1987)CrossRef
23.
White, J.J.: A Humean Critique of David Hume’s Theory of Knowledge. (Gueguen, J.A. (ed.)), Section VII. (University Press of America, New York 1998)
24.
Dawkins, R.: The God Delusion. (Houghton Mifflin, Boston 2006)
25.
Setnes, M., Roubos, H.: GA-fuzzy modeling and classification: complexity and performance. IEEE Trans. Fuzzy Syst. 8(5), 509–522 (2000)CrossRef
26.
Roeva, O., Pencheva, T., Shannon, A., Atanassov, K.: Generalized Nets in Artificial Intelligence, Vol. 7: Generalized Nets and Genetic Algorithms. (Prof. M. Drinov Academic Publishing House, Sofia 2013)
27.
28.
Atanassov, K.T.: Intuitionistic Fuzzy Sets: Theory and Applications. Physica-Verlag, Heidelberg (1999)CrossRefMATH
29.
Pencheva, T., Atanassov, K.T., Shannon, A.G.: Modelling of a roulette wheel selection operator in genetic algorithms using generalized nets. Int. J. Bioautomation 13(4), 257–264 (2009)
30.
McCaughan, J.B.T.: Remove god, lose reason: the sorry cases of hawking and dawkins. Quadrant. 55(6): 66–71 (2011)
31.
Singer, P.: Ethics. Oxford University Press, Oxford (1994)
32.
Dummett, M.: Elements of Intuitionism. Clarendon Press, Oxford (1977)MATH
33.
Halmos, P.R.: I Want to be a Mathematician. Mathematical Association of America, Washington, DC (1985)CrossRefMATH
34.
Hardy, G.H.: A Mathematician’s Apology. (With a Foreword by C.P. Snow). (Cambridge University Press, Cambridge 1967)
35.
Iverson, K.E.: Notation as a tool of thought. Commun. Assoc. Comput. Mach. 23(8), 444–465 (1980)MathSciNet
36.
Bucchianico di, A., Loeb, D.E., Rota, G.C.: Umbral Caluclus in Hilbert Space. In: Sagan, B.E., Stanley, R.P. (ed.) Mathematical Essays in Honor of Gian-Carlo Rota, pp. 213–238. (Birkhäuser, Boston 1998)
37.
38.
Sanguineti, J.J.: Logic, pp.194–200. (Sinag-Tala, Manila 1982)
Metadata
Title
Intuitionistic Fuzzy Logic and Provisional Acceptance of Scientific Theories: A Tribute to Krassimir Atanassov on the Occasion of His Sixtieth Birthday
Author
A. G. Shannon
Copyright Year
2016
Book
Imprecision and Uncertainty in Information Representation and Processing

Print ISBN: 978-3-319-26301-4

Electronic ISBN: 978-3-319-26302-1

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-26302-1_2

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