An architecture for making judgments using computing with words

Jerry Mendel

International Journal of Applied Mathematics and Computer Science (2002)

  • Volume: 12, Issue: 3, page 325-335
  • ISSN: 1641-876X

Abstract

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Our thesis is that computing with words needs to account for the uncertainties associated with the meanings of words, and that these uncertainties require using type-2 fuzzy sets. Doing this leads to a proposed architecture for making it judgments by means of computing with words, i.e., to a perceptual computer-the Per-C. The Per-C includes an encoder, a type-2 rule-based fuzzy logic system, and a decoder. It lets all human-computer interactions be performed using words. In this paper, a quantitative language is established for the Per-C, and many open issues about the perceptual computer are described.

How to cite

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Mendel, Jerry. "An architecture for making judgments using computing with words." International Journal of Applied Mathematics and Computer Science 12.3 (2002): 325-335. <http://eudml.org/doc/207590>.

@article{Mendel2002,
abstract = {Our thesis is that computing with words needs to account for the uncertainties associated with the meanings of words, and that these uncertainties require using type-2 fuzzy sets. Doing this leads to a proposed architecture for making it judgments by means of computing with words, i.e., to a perceptual computer-the Per-C. The Per-C includes an encoder, a type-2 rule-based fuzzy logic system, and a decoder. It lets all human-computer interactions be performed using words. In this paper, a quantitative language is established for the Per-C, and many open issues about the perceptual computer are described.},
author = {Mendel, Jerry},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {footprint of uncertainty; computing with words; type-2 fuzzy logic system; judgments; perceptual computer},
language = {eng},
number = {3},
pages = {325-335},
title = {An architecture for making judgments using computing with words},
url = {http://eudml.org/doc/207590},
volume = {12},
year = {2002},
}

TY - JOUR
AU - Mendel, Jerry
TI - An architecture for making judgments using computing with words
JO - International Journal of Applied Mathematics and Computer Science
PY - 2002
VL - 12
IS - 3
SP - 325
EP - 335
AB - Our thesis is that computing with words needs to account for the uncertainties associated with the meanings of words, and that these uncertainties require using type-2 fuzzy sets. Doing this leads to a proposed architecture for making it judgments by means of computing with words, i.e., to a perceptual computer-the Per-C. The Per-C includes an encoder, a type-2 rule-based fuzzy logic system, and a decoder. It lets all human-computer interactions be performed using words. In this paper, a quantitative language is established for the Per-C, and many open issues about the perceptual computer are described.
LA - eng
KW - footprint of uncertainty; computing with words; type-2 fuzzy logic system; judgments; perceptual computer
UR - http://eudml.org/doc/207590
ER -

References

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  1. Karnik N.N. and Mendel J.M. (2001): Centroid of a type-2 fuzzy set.- Inf. Sci., Vol. 132, pp. 195-220. Zbl0982.03030
  2. Klir G.J. and Wierman M.J. (1998): Uncertainty-Based Information. -Heidelberg: Physica-Verlag. Zbl0902.68061
  3. Liang Q. and Mendel J.M. (2000): Interval type-2 fuzzy logic systems: Theory and design. - IEEE Trans. Fuzzy Systems, Vol. 8, No. 5, pp. 535-550. 
  4. Mendel J.M. (1999): Computing with words, when words can mean different things to different people. - Proc. 3rd Int. ICSC Symp. Fuzzy Logic and Applications, Rochester Univ., Rochester, NY, June, pp. 158-164. 
  5. Mendel J.M. (2001a): Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions. - Upper Saddle River, NJ: Prentice-Hall. Zbl0978.03019
  6. Mendel J.M. (2001b): On the importance of interval sets in type-2 fuzzy logic systems. - Proc. IFSA/NAFIPS Conf., Vancouver, Canada, July, pp. 1647-1652. 
  7. Mendel J.M. (2001c): The Perceptual Computer: An architecture for computing with words. - Proc. IEEE Conf. Fuzzy Systems, Melbourne, Australia, pp. 35-38. 
  8. Mendel J.M. (2002): Uncertainty, type-2 fuzzy sets, and footprints of uncertainty. - Proc. 9th Int. Conf. Information Processing and Management of Uncertainty in Knowledge-Based Systems, Annecy, France, pp. 325-331. 
  9. Mendel J.M. and Wu H. (2002): Uncertainty versus choice in rule-based fuzzy logic systems. - Proc. IEEE WCCI, FUZZ Conf., Honolulu, HI, pp. 1336-1341. 
  10. Wang L.-X. (1997): A Course in Fuzzy Systems and Control. - Upper Saddle River, NJ: Prentice-Hall. 
  11. Wang P.P. (Ed.) (2001): Computing With Words. - New York: Wiley. 
  12. Yager R.R. and Filev D.P. (1994): Essentials of Fuzzy Modeling and Control. - New Jersey: Wiley. 
  13. Zadeh L.A. (1996): Fuzzy logic = computing with words. - IEEE Trans. Fuzzy Syst., Vol. 4, No. 2, pp. 103-111. 
  14. Zadeh L.A. (1999): From computing with numbers to computing with words-from manipulation of measurements to manipulation of perceptions. - IEEE Trans. Circ. Syst.-I: Fund. Theory Applic., Vol. 4, No. 1, pp. 105-119. Zbl0954.68513

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