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Granular Computing and Modeling the Human Thoughts in Web Documents

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Foundations of Fuzzy Logic and Soft Computing (IFSA 2007)

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Abstract

The totality of human thoughts in a document set is modeled by a polyhedron. A point represents a THOUGHT, a simplex a CONCEPT, a connected component a COMPLETE CONCEPT, the simplicial structure the whole IDEA. The building block is the simplex; it represents the concept that is carried by a set of high frequency and nearby co-occurring keywords. The simplicial structure of the keywords provides an ”informal” formal language about human thoughts in a document set. The model theory of this language gives the desirable model.

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References

  1. Bairamian, S.: Goal Search in Relational Databases. Thesis, California State University at Northridge (1989)

    Google Scholar 

  2. Brewer, D.C., Nash, M.J.: The Chinese Wall Security Policy. In: IEEE Symposium on Security and Privacy, Oakland, May 1988, pp. 206–214 (1988)

    Google Scholar 

  3. Chu, W., Chen, Q.: Neighborhood and associative query answering. Journal of Intelligent Information Systems 1, 355–382 (1992)

    Article  Google Scholar 

  4. Dubois, D., Prade, H.: Putting rough sets and fuzzy sets together. In: Slowinski, R. (ed.) Decision Support by Experience - Application of the Rough Sets Theory, pp. 203–232. Kluwer Academic Publishers, Dordrecht (1992)

    Google Scholar 

  5. Lin, T.Y.: Granular Computing II: Infrastructures for AI-Engineering. In: Proceedings of 2006 International Conference on Granular Computing, Atlanta, Georgia, USA, May 10-12 (2006)

    Google Scholar 

  6. Lin, T.Y.: Granular Computing: Examples, Intuitions and Modeling. In: Proceedings of 2005 IEEE International Conference on Granular Computing, Beijing, China, July 25-27, 2005, pp. 40–44 (2005)

    Google Scholar 

  7. Lin, T.Y., Chiang, I.-J.: A simplicial complex, a hypergraph, structure in the latent semantic space of document clustering. International Journal of Approximate Reasoning 44, 55–80 (2005)

    Article  MathSciNet  Google Scholar 

  8. Lin, T.Y.: Granular Computing: Structures, Representations, Applications and Future Directions. In: Wang, G., Liu, Q., Yao, Y., Skowron, A. (eds.) RSFDGrC 2003. LNCS (LNAI), vol. 2639, pp. 16–24. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  9. Lin, T.Y.: Granular Computing on Binary Relations II: Rough Set Representations and Belief Functions. In: Skowron, A., Polkowski, L. (eds.) Rough Sets In Knowledge Discovery, pp. 121–140. Springer, Heidelberg (1998)

    Google Scholar 

  10. Lin, T.Y.: Granular Computing on Binary Relations I: Data Mining and Neighborhood Systems. In: Skowron, A., Polkowski, L. (eds.) Rough Sets In Knowledge Discovery, pp. 107–121. Springer, Heidelberg (1998)

    Google Scholar 

  11. Lin, T.Y.: Topological and Fuzzy Rough Sets. In: Slowinski, R. (ed.) Decision Support by Experience - Application of the Rough Sets Theory, pp. 287–304. Kluwer Academic Publishers, Dordrecht (1992)

    Google Scholar 

  12. Lin, T.Y., Huang, K.J., Liu, Q., Chen, W.: Rough Sets, Neighborhood Systems and Approximation. In: Proceedings of the Fifth International Symposium on Methodologies of Intelligent Systems, Knoxville, Tennessee, October 25-27, 1990, (Selected Papers), pp. 130–141 (1990)

    Google Scholar 

  13. Lin, T.Y.: Chinese Wall Security Policy–An Aggressive Model. In: Proceedings of the Fifth Aerospace Computer Security Application Conference, Tuscon, Arizona, Dec. 1989, pp. 282–289 (1989)

    Google Scholar 

  14. Lin, T.Y.: Neighborhood Systems and Relational Database (abstract). In: Proceedings of 1988 ACM Sixteen Annual Computer Science Conference, February 1988, p. 725 (1988)

    Google Scholar 

  15. Munkres, J.: Topology, 2nd edn. Prentice-Hall, Englewood Cliffs (2000)

    MATH  Google Scholar 

  16. Pawlak, Z.: Rough sets. Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishers, Dordrecht (1991)

    MATH  Google Scholar 

  17. Polya, G.: How to Solve It, 2nd edn. Princeton University Press, Princeton (1957)

    Google Scholar 

  18. Sierpinski, W., Krieger, C.: General Topology. University of Toronto Press, Toronto (1952)

    MATH  Google Scholar 

  19. Spanier, E.: Algebric Topology. McGraw-Hill, New York (1966)

    Google Scholar 

  20. Zadeh, L.A.: Fuzzy sets and information granularity. In: Gupta, M., Ragade, R., Yager, R. (eds.) Advances in Fuzzy Set Theory and Applications, pp. 3–18. North-Holland, Amsterdam (1979)

    Google Scholar 

  21. Zadeh, L.A.: Towards a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic. Fuzzy Sets and Systems 19, 111–127 (1997)

    Article  MathSciNet  Google Scholar 

  22. Zadeh, L.A.: Some reflections on soft computing, granular computing and their roles in the conception, design and utilization of information/ intelligent systems. Soft Computing 2, 23–25 (1998)

    Google Scholar 

  23. Zadeh, L.A.: 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, pp. 3–20. Physica, Heidelberg (2002)

    Google Scholar 

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Patricia Melin Oscar Castillo Luis T. Aguilar Janusz Kacprzyk Witold Pedrycz

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Lin, T.Y. (2007). Granular Computing and Modeling the Human Thoughts in Web Documents. In: Melin, P., Castillo, O., Aguilar, L.T., Kacprzyk, J., Pedrycz, W. (eds) Foundations of Fuzzy Logic and Soft Computing. IFSA 2007. Lecture Notes in Computer Science(), vol 4529. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72950-1_27

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  • DOI: https://doi.org/10.1007/978-3-540-72950-1_27

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72917-4

  • Online ISBN: 978-3-540-72950-1

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