Abstract
The purpose of this paper is twofold. First, we discuss the various issues of linguistic approximation in the context of intelligent systems. Second, we address one of the approximation issues in particular, which seems to be somewhat neglected in the literature.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
J. C. Bezdek, D. Dubois, and H. Prade, editors. Fuzzy Sets in Approximate Reasoning and Information Systems. Kluwer, Boston, 1999.
A. Dvořák. On Linguistic Approximation in the Frame of Fuzzy Logic Deduction. Soft Computing, 3(2):111–115, 1999.
F. Eshragh and E. H. Mamdani. A General Approach to Linguistic Approximation. International Journal of Man-Machine Studies, 11:501–519, 1979.
S. Gottwald. Generalized Solvability Criteria for Fuzzy Equations. Fuzzy Sets and Systems, 17(3):285–296, 1985.
P. Hájek. Metamathematics of Fuzzy Logic. Kluwer, Boston, 1999.
M. Higashi and G. J. Klir. On the Notion of Distance Representing Information Closeness: Possibility and Probability Distribution. International Journal of General Systems, 19(2):103–115, 1983.
E. E. Kerre and M. de Cock. Linguistic Modifiers: An Overview. In G. Chen et al., editor, Fuzzy Logic and Soft Computing. Kluwer, Boston, 1999.
G. J. Klir. On Fuzzy-set Interpretation of Possibility Theory. Fuzzy Sets and Systems, 108(3):263–273, 1999.
G. J. Klir and M. J. Wierman. Uncertainty-Based Information: Elements of Generalized Information Theory. Physica/Springer, Heidelberg and New York, 1998.
G. J. Klir and B. Yuan. Fuzzy Sets and Fuzzy Logic: Theory and Applications. Prentice Hall, PTR, Upper Saddle River, NJ, 1995.
G. J. Klir and B. Yuan, editors. Fuzzy Sets, Fuzzy Logic, and Fuzzy Systems: Selected Papers by Lot. A. Zadeh. World Scientific, 1996.
G. Lako. Hedges: A Study in Meaning Criteria and the Logic of Fuzzy Concepts. Journal of Philosophical Logic, 2:458–508, 1973.
M. Mareš and R. Mesiar. Calculation over Verbal Quantities. In L. A. Zadeh and J. Kacprzyk, editors, Computing with Words in Information/ Intelligent Systems, volume 1, pages 409–427. Physica, 1999.
M. Mareš and R. Mesiar. Dual Meaning of Verbal Quantities. Kybernetika, 38(6):709–716, 2002.
V. Novák. Fuzzy Sets and Their Applications. Adam Hilger, Bristol and Philadelphia, 1989.
A. Ramer and C. Padet. Nonspecificity in Rn. International Journal of General Systems, 30(6):661–680, 2001.
J. Talašová. Fuzzy Methods of Multicriteria Valuation and Decision Making (in Czech). Palacký University Press, 2003.
P. P. Wang, editor. Computing with Words. John Wiley, 2001.
R. R. Yager, S. Ovchinnikov, R. M. Tong, and H. T. Nguyen, editors. Fuzzy Sets and Applications - Selected Papers by L. A. Zadeh. John Wiley, New York, 1987.
L. A. Zadeh. The Concept of a Linguistic Variable and its Application to Approximate Reasoning. Parts 1 and 2. Information Sciences, 8:199–249, 301–357, 1975.
L. A. Zadeh. The Concept of a Linguistic Variable and its Application to Approximate Reasoning. Part 3. Information Sciences, 9:43–80, 1975.
L. A. Zadeh. Fuzzy Logic = Computing with Words. IEEE Transactions on Fuzzy Systems, 4(2):103–111, 1996.
L. A. Zadeh. From Computing with Numbers to Computing with Words - From Manipulation of Measurements to Manipulation of Perceptions. IEEE Transactions on Circuits and Systems - I. Fundamental Theory and Applications, 45(1):105–119, 1999.
L. A. Zadeh and J. Kacprzyk, editors. Computing with Words in Information/ Intelligent Systems. Physica/Springer, Heidelberg and New York, 1999.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer
About this chapter
Cite this chapter
Klir, G.J., Sentz, K. (2007). On the Issue of Linguistic Approximation. In: Aspects of Automatic Text Analysis. Studies in Fuzziness and Soft Computing, vol 209. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-37522-7_3
Download citation
DOI: https://doi.org/10.1007/978-3-540-37522-7_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-37520-3
Online ISBN: 978-3-540-37522-7
eBook Packages: EngineeringEngineering (R0)