Discrete Dynamics in Nature and Society

Discrete Dynamics in Nature and Society / 2006 / Article

Open Access

Volume 2006 |Article ID 046546 | https://doi.org/10.1155/DDNS/2006/46546

Aarthi Chandramohan, M. V. C. Rao, "Novel, useful, and effective definitions for fuzzy linguistic hedges", Discrete Dynamics in Nature and Society, vol. 2006, Article ID 046546, 13 pages, 2006. https://doi.org/10.1155/DDNS/2006/46546

Novel, useful, and effective definitions for fuzzy linguistic hedges

Received12 Dec 2005
Revised15 Apr 2006
Accepted25 Apr 2006
Published06 Sep 2006


The main emphasis of this paper is on fuzzy linguistic hedging, used to modify membership functions. This paper investigates the issues of obtaining new definitions for hedges which exceed the traditional definitions given by Zadeh (and others), particularly seeing that the effect of applying these hedges does not cross beyond the reasonable limits of membership values [0,1] and is still meaningful from the point of view of magnitude of membership value and hence be really effective for an application. Some of the most commonly used hedges are presented, these hedges are very, positively, negatively, slightly more, and slightly less. The effects of these hedges on numeric examples are charted.


  1. W. Banks, “Mixing crisp and fuzzy logic in applications,” in Proceedings of Idea/Microelectronics. Conference Record (WESCON '94), pp. 94–97, California, September 1994. View at: Google Scholar
  2. B. Bouchon-Meunier, “Linguistic hedges and fuzzy logic,” in Proceedings of 1st IEEE International Conference on Fuzzy systems, pp. 247–254, California, March 1992. View at: Google Scholar
  3. E. Cox, The Fuzzy Systems Handbook, AP Professional, New York, 2nd edition, 1998. View at: Google Scholar
  4. N. C. Ho and W. Wechler, “Hedge algebras: an algebraic approach to structure of sets of linguistic truth values,” Fuzzy Sets and Systems, vol. 35, no. 3, pp. 281–293, 1990. View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNet
  5. C.-Y. Huang, C.-Y. Chen, and B.-D. Liu, “Current-mode linguistic hedge circuit for adaptive fuzzy logic controllers,” Electronics Letters, vol. 31, no. 17, pp. 1517–1518, 1995. View at: Publisher Site | Google Scholar
  6. B.-D. Liu, C.-Y. Chen, and J.-Y. Tsao, “Design of adaptive fuzzy logic controller based on linguistic-hedge concepts and genetic algorithms,” IEEE Transactions on Systems, Man and Cybernetics, Part B, vol. 31, no. 1, pp. 32–53, 2001. View at: Publisher Site | Google Scholar
  7. J. G. Marin-Blazquez and Q. Shen, “From approximative to descriptive fuzzy classifiers,” IEEE Transactions on Fuzzy Systems, vol. 10, no. 4, pp. 484–497, 2002. View at: Publisher Site | Google Scholar
  8. V. Novak, “A horizon shifting model of linguistic hedges for approximate reasoning,” in Proceedings of the 5th IEEE International Conference on Fuzzy Systems, vol. 1, pp. 423–427, Louisiana, September 1996. View at: Google Scholar
  9. T. J. Ross, Fuzzy Logic with Engineering Applications, McGraw Hill, New York, 1997. View at: Google Scholar
  10. H. Shi, R. Ward, and N. Kharma, “Expanding the definitions of linguistic hedges,” in Proceedings of 9th International Conference on IFSA World Congress and 20th NAFIPS, vol. 5, pp. 2591–2595, Vancouver, July 2001. View at: Google Scholar
  11. L. A. Zadeh, “A fuzzy-set-theoretic interpretation of linguistic hedges,” Journal of Cybernetics, vol. 2, no. 3, pp. 4–34, 1972. View at: Google Scholar | MathSciNet
  12. L. A. Zadeh, “Outline of a new approach to the analysis of complex systems and decision processes,” IEEE Transactions on Systems, Man, and Cybernetics, vol. SMC-3, pp. 28–44, 1973, [31–39]. View at: Google Scholar | Zentralblatt MATH

Copyright © 2006 Aarthi Chandramohan and M. V. C. Rao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

More related articles

 PDF Download Citation Citation
 Order printed copiesOrder

Related articles

We are committed to sharing findings related to COVID-19 as quickly as possible. We will be providing unlimited waivers of publication charges for accepted research articles as well as case reports and case series related to COVID-19. Review articles are excluded from this waiver policy. Sign up here as a reviewer to help fast-track new submissions.