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On Fuzzy Lattice

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Rough Sets and Current Trends in Computing (RSCTC 2000)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2005))

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Abstract

The notion of lattice has a wide variety of applications in the areas of physical sciences, communication systems, and information analysis. Fuzzy set theory, with its proximity to a a multitude of areas closely related to AI, provides an alternative to the traditional concept of set membership. Nanda[4] proposed the concept of fuzzy lattice, using the notion of fuzzy partial ordering. But after a critical study, it has been observed that his definition contains some redundency. As a consequence of this observation, we present a modified definition of fuzzy lattice in this paper. . . .

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References

  1. Birko., G.: Lattice theory. 3rd edn. Amer. Math. Soc. Colloquium Pub.25 (1984)

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  2. Chakrabarty, K.: On Bags and Fuzzy Bags. Advances in Soft Computing. Soft Computing Techniques and Applications. Physica-Verlag, Heidelberg New York (2000) 201–212

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  3. Dubois, D., Prade, H.: Fuzzy Sets and Systems-Theory and Applications. Academic Press. (1980)

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  4. Nanda, S.: Fuzzy Lattices, Bulletin Calcutta Math.Soc. 81 (1989) 1–2

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  5. Zadeh, L.A.: Fuzzy Sets, Inform.Con. 8 (1965) 338–353

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Author information

Authors and Affiliations

  1. School of Mathematical and Computer Sciences, The University of New England, Armidale 2351, New South Wales, Australia

    Kankana Chakrabarty

Authors
  1. Kankana Chakrabarty
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of Regina Regina, S4S 0A2, Saskatchewan, Canada

    Wojciech Ziarko  & Yiyu Yao  & 

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© 2001 Springer-Verlag Berlin Heidelberg

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Chakrabarty, K. (2001). On Fuzzy Lattice. In: Ziarko, W., Yao, Y. (eds) Rough Sets and Current Trends in Computing. RSCTC 2000. Lecture Notes in Computer Science(), vol 2005. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45554-X_28

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  • DOI: https://doi.org/10.1007/3-540-45554-X_28

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43074-2

  • Online ISBN: 978-3-540-45554-7

  • eBook Packages: Springer Book Archive

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