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Towards Fixing Some ‘Fuzzy’ Catchwords: A Terminological Primer

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Computing with Words in Information/Intelligent Systems 1

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 33))

Abstract

Resorting to some semantical considerations and results from basic philosophy and to some basic mathematical concepts we try to fix suitable explanations for some fundamental notions of and around fuzzy set theory on a semiformal level. For some of them this will — to the author’s knowledge for the first time at all — lead us to proposals for definitions of what is to be understood by these terms, simultaneously clarifying their epistemic rôle.

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References

  1. J. Bezdek et al., Fuzziness vs. Probability — Again (! ?), IEEE Trans. on Fuzzy Systems 2 (1994) 1–42.

    Article  MATH  Google Scholar 

  2. M. Black, Vagueness: An exercise in logical analysis, Philos. Sci. 4 (1937), 427–455. (Recently reprinted in Int. J. General Systems 17 (1990), 107–128.

    Google Scholar 

  3. M. Bunge, Scientific Research I: The Search for System ( Springer, Berlin/Heidelberg/New York, 1967 ).

    MATH  Google Scholar 

  4. M. Bunge, Semantics I: Sense and Reference. Vol. 1 of Treatise on Basic Philosophy ( Reidel, Dordrecht/Boston, 1974 ).

    Book  Google Scholar 

  5. M. Bunge, Ontology I: The furniture of the world. Vol. 3 of Treatise on Basic Philosophy ( Reidel, Dordrecht/Boston, 1977 ).

    Book  Google Scholar 

  6. D. Cruse, Lexical Semantics, (Cambridge Univ. Press, Cambridge, 1986 ).

    Google Scholar 

  7. K. Devlin, Logic and information (Cambridge University Press, 1991 ).

    Google Scholar 

  8. D. Dubois and H. Prade, Fuzzy Sets and Systems: Theory and Applications ( Academic Press, New York, 1980 ).

    MATH  Google Scholar 

  9. D. Dubois and H. Prade, An introduction to possibilistic and fuzzy logics, in: P. Smets, E.H. Mamdani, D.Dubois and H. Prade, Eds., Non-Standard Logics for Automated Reasoning (Academic Press, New York, 1988 ) 288–326.

    Google Scholar 

  10. D. Dubois and H. Prade, Possibility Theory. An Approach to Computerized Processing of Uncertainty ( Plenum Press, New York, 1988 ).

    Book  MATH  Google Scholar 

  11. D. Dubois and H. Prade, Fuzzy sets in approximate reasoning, Part 2: Logical approaches, Fuzzy Sets and Systems 40 (1991) 203–244.

    Article  MathSciNet  MATH  Google Scholar 

  12. C. Elkan, The paradoxical success of fuzzy logic (with responses), IEEE Expert 9 (1994), 1–49.

    Article  MathSciNet  Google Scholar 

  13. W. Feller, An Introduction to Probability Theory and its Applications, Vol. 1 ( J. Wiley, New York, 1970 ).

    Google Scholar 

  14. C. Freksa, Fuzzy Systems in AI: An Overview, in: R. Kruse, J. Gebhardt and R. Palm, Eds., Fuzzy Systems in Computer Science ( Vieweg, Braunschweig/Wiesbaden, 1994 ) 155–169.

    Chapter  Google Scholar 

  15. J. Goguen, The logic of inexact concepts, Synthese 19 (1968/69) 325–373.

    Google Scholar 

  16. I.R. Goodman and H.T. Nguyen, Uncertainty Models for Knowledge-Based Systems ( North-Holland, Amsterdam, 1985 ).

    MATH  Google Scholar 

  17. J.W. Grzymala-Busse, Managing Uncertainty in Expert Systems ( Kluwer, Boston/ Dordrecht/London, 1991 ).

    Book  MATH  Google Scholar 

  18. E. Hisdal, Infinite valued logic based on two-valued logic and probability. Part 1.1. Difficulties with present-day fuzzy set theory and their resolution in the TEE model, Int. J. Man. Machine Studies 25 (1986) 89–111.

    Article  MATH  Google Scholar 

  19. E. Hisdal, Infinite valued logic based on two-valued logic and probability. Part 1.2. Different sources of fuzziness, Int. J. Man. Machine Studies 25 (1986) 113–138.

    Article  MATH  Google Scholar 

  20. E. Hisdal, Are grades of membership probabilities ?, Fuzzy Sets and Systems 25 (1988), 325–348.

    Article  MathSciNet  MATH  Google Scholar 

  21. A. Kandel, Fuzzy mathematical techniques with applications, (Addison-Wesley, Reading, Mass. 1986 ).

    MATH  Google Scholar 

  22. G. Klir and T.A. Folger, Fuzzy sets, uncertainty, and information ( Prentice-Hall, Englewood Cliffs, 1988 ).

    MATH  Google Scholar 

  23. B. Kosko, Fuzziness vs. Probability, Internat. J. General Systems 17 (1990) 211–240.

    Article  MATH  Google Scholar 

  24. R. Kruse, E. Schwecke and J. Heinsohn, Uncertainty and Vagueness in Knowledge Based Systems ( Springer, Berlin-Heidelberg-New York, 1991 ).

    Book  MATH  Google Scholar 

  25. F. Palmer, Semantics 2nd ed., (Cambridge Univ. Press, New York, 1981 ).

    Google Scholar 

  26. Z. Pawlak, Rough Sets ( Kluwer, Boston/Dordrecht/London, 1991 ).

    Book  MATH  Google Scholar 

  27. E. Sapir, Grading: A study in semantics, Philosophy Sci. 11 (1944) 93–116.

    Article  Google Scholar 

  28. M. Smithson, Ignorance and Uncertainty ( Springer, Berlin, 1989 ).

    Book  Google Scholar 

  29. H. Toth, From fuzzy-set theory to fuzzy set-theory: some critical remarks on existing concepts, Fuzzy Sets and Systems 23 (1987) 219–237.

    Article  MathSciNet  MATH  Google Scholar 

  30. H. Toth, Categorial properties of f-set theory, Fuzzy Sets and Systems 33 (1989) 99–109.

    Article  MathSciNet  MATH  Google Scholar 

  31. H. Toth, On algebraic properties of f-spaces, Fuzzy Sets and Systems 36 (1990) 293–303.

    Article  MathSciNet  MATH  Google Scholar 

  32. H. Toth, Probabilities and fuzzy events: An operational approach, Fuzzy Sets and Systems 48 (1992) 113–127.

    Article  MathSciNet  MATH  Google Scholar 

  33. H. Toth, Reconstruction possibilities for fuzzy sets: Towards a new level of understanding ?, Fuzzy Sets and Systems 52 (1992) 283–304.

    Article  MathSciNet  Google Scholar 

  34. H. Toth, Fuzziness: From epistemic considerations to terminological clarification, Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems 5 (1997) 481–503.

    Article  MATH  Google Scholar 

  35. G. Vollmer, Evolutionäre Erkenntnistheorie ( Hirzel, Stuttgart, 1983 ).

    Google Scholar 

  36. G. Vollmer, On supposed circularities in an empirically oriented epistemology, in: G. Radnitzky and W.W. Bartley, III, Eds., Evolutionary Epistemology, Theory of Rationality, and the Sociology of Knowledge (Open Court, La Salle, Illinois, 1987 ), 163–200.

    Google Scholar 

  37. P. Wang, The Interpretation of Fuzziness, IEEE Trans. on Systems, Man and Cybernetics — PartB: Cybernetics 26 (1996) 321–326.

    Article  Google Scholar 

  38. R.R. Yager, On the specificity of a possibiity distribution, Fuzzy Sets and Systems 50 (1992) 279–292.

    Article  MathSciNet  MATH  Google Scholar 

  39. L.A. Zadeh, Fuzzy sets as a basis for a theory of possibility, Fuzzy Sets and Systems 1 (1978) 3–28.

    Article  MathSciNet  MATH  Google Scholar 

  40. L.A. Zadeh/K.S. Kacprzyk, Eds., Fuzzy Logic for the Management of Uncertainty ( John Wiley, New York, 1992 )

    Google Scholar 

  41. M. Zeleny, On the (ir)relevancy of fuzzy set theory. Human Systems Management 4 (1984), 301–306.

    Google Scholar 

  42. M. Zeleny, Cognitive equilibrium: A knowledge-based theory of fuzziness and fuzzy sets. Int. J. General Systems 19 (1991) 359–384.

    Article  MATH  Google Scholar 

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Authors and Affiliations

  1. Riedstraße 17a, A-1140, Wien, Austria

    Herbert Toth

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  1. Herbert Toth
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Editors and Affiliations

  1. Berkeley Initiative in Soft Computing (BISC) Computer Science Division and Electronics Research Laboratory Department of Electrical and Electronics Engineering and Computer Science, University of California, 94720-1776, Berkeley, CA, USA

    Lotfi A. Zadeh

  2. Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447, Warsaw, Poland

    Janusz Kacprzyk

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© 1999 Springer-Verlag Berlin Heidelberg

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Toth, H. (1999). Towards Fixing Some ‘Fuzzy’ Catchwords: A Terminological Primer. In: Zadeh, L.A., Kacprzyk, J. (eds) Computing with Words in Information/Intelligent Systems 1. Studies in Fuzziness and Soft Computing, vol 33. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1873-4_8

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  • DOI: https://doi.org/10.1007/978-3-7908-1873-4_8

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-662-11362-2

  • Online ISBN: 978-3-7908-1873-4

  • eBook Packages: Springer Book Archive

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