Abstract
The past few years have witnessed what in retrospect may be seen as a turning point in the evolution of fuzzy logic. What I have in mind is the debut of four linked methodologies: granular computing, computing with words, the computational theory of perceptions and precisiated natural language. What follows is a view of the links between the underlying structures of these methodologies — a view which is presented from a personal perspective.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Z. Pawlak, Rough sets, International Journal of Computer and Information Science, 11, 341–356, 1982.
J.G. Shanahan, Soft Computing for Knowledge Discovery: Introducing Cartesian Granule Features, Kluwer Academic Publishers, Boston, 2000.
L.A. Zadeh, Fuzzy sets, Information and Control, 8, 338–353, 1965.
L.A. Zadeh, Probability measures of fuzzy events, Journal of Mathematical Analysis and Applications, 23, 421–427, 1968.
L.A. Zadeh, Outline of a new approach to the analysis of complex systems and decision processes, IEEE Transactions on Systems, Man and Cybernetics, SMC-3, 28–44, 1973.
L.A. Zadeh, The concept of a linguistic variable and its application to approximate reasoning, Part I, Information Sciences, 8, 199–249, 1975; Part II, Information Sciences, 8, 301–357, 1975; Part III, Information Sciences, 9. 43–80, 1975.
L.A. Zadeh, Fuzzy sets and information granularity, in: M. Gupta, R. Ragade, and R. Yager (Eds.), Advances in Fuzzy Set Theory and Applications, North-Holland, Amsterdam, 3–18, 1979.
L.A. Zadeh, Test-score semantics for natural languages and meaning representation via PRUF, B. Rieger (Ed.), Empirical Semantics, Brockmeyer, Bochum, 1982.
L.A. Zadeh, Outline of a computational approach to machine and knowledge representation based on the concept of a generalized assignment statement, Proceedings of the International Seminar in Artificial Intelligence and Man-Machine Systems, M. Thoma and A.Wyner (eds), 198–211.
L.A. Zadeh, Test-score semantics as a basis for a computational approach to the representation of meaning, Literary and Linguistic Computing, 1, 24–35, 1986.
L.A. Zadeh, Fuzzy logic = computing with words, IEEE Transactions on Fuzzy Systems, 2, 103–111, 1996.
L.A. Zadeh, Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic, Fuzzy Sets and Systems, 90, 111–127, 1997.
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, 45, 105–119, 1999.
L.A. Zadeh, Outline of a computational theory of perceptions based on computing with words, in: N.K. Sinha and M.M. Gupta (Eds.), Soft Computing & Intelligent Systems: Theory and Applications, Academic Press, London, 2–33, 2001.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Zadeh, L.A. (2002). Some Reflections on Information Granulation and its Centrality in Granular Computing, Computing with Words, the Computational Theory of Perceptions and Precisiated Natural Language. In: Lin, T.Y., Yao, Y.Y., Zadeh, L.A. (eds) Data Mining, Rough Sets and Granular Computing. Studies in Fuzziness and Soft Computing, vol 95. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1791-1_1
Download citation
DOI: https://doi.org/10.1007/978-3-7908-1791-1_1
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-2508-4
Online ISBN: 978-3-7908-1791-1
eBook Packages: Springer Book Archive