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Reseach Article

Article:Fuzzy Subset Dependencies

by Jyothi Singaraju
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 8 - Number 13
Year of Publication: 2010
Authors: Jyothi Singaraju
10.5120/1305-1646

Jyothi Singaraju . Article:Fuzzy Subset Dependencies. International Journal of Computer Applications. 8, 13 ( October 2010), 29-36. DOI=10.5120/1305-1646

@article{ 10.5120/1305-1646,
author = { Jyothi Singaraju },
title = { Article:Fuzzy Subset Dependencies },
journal = { International Journal of Computer Applications },
issue_date = { October 2010 },
volume = { 8 },
number = { 13 },
month = { October },
year = { 2010 },
issn = { 0975-8887 },
pages = { 29-36 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume8/number13/1305-1646/ },
doi = { 10.5120/1305-1646 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T19:57:18.665603+05:30
%A Jyothi Singaraju
%T Article:Fuzzy Subset Dependencies
%J International Journal of Computer Applications
%@ 0975-8887
%V 8
%N 13
%P 29-36
%D 2010
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The fuzzy relational databases which use the special types of constraints, called dependencies, as a semantic tool for expressing properties of the data like a classical relational databases. Fuzzy functional dependencies(ffd) and fuzzy multivalued dependencies(fmvd) are the most common types of dependencies. Similar to classical relational database, a full utilization of fuzzy multivalued dependencies in the design of fuzzy relational databases requires that fuzzy embedded multivalued dependencies(fEmvd) and fuzzy subset dependencies(fsd). These multivalued dependencies hold in a projection of a relation but not necessarily in the relation itself. The main object of this paper is to extend the concept of Embedded Multivalued Dependency (EMVD) and Subset Dependency (SD) to fuzzy relational database.

References
  1. Baldwin. J.F, “Fuzzy Logic and its Application to Fuzzy Reasoning”, in Advances in Fuzzy Set Theory and Applications, M.M.Gupta et al., eds., North-Holland, Amsterdam, 1979.
  2. Beeri. C, Fagin. R, and Howard. J. H, “ A Complete Aximatization for Functional and Multivalued Dependencies in Database Relations”, ACM SIGMOD Conf., 1977, 47-61.
  3. Codd. E.F, “Further Normalization of the Database Relational Model” in Database Systems, R, Rustin, ed., Prentice-Hall, Englewood Cliffs, NJ, 1972.
  4. Dubois. D and Prade. H, “Fuzzy Sets and Systems: Theory and Applications”, Academic Press, New York, 1980.
  5. Kandle. A, Fuzzy Mathematical Techniques with Applications, Addison-Wesley, California, 1986.
  6. Kaufmann. A, “An Introduction to the Theory of Fuzzy Subsets”, Vol. 1, Academic Press, New York, 1975.
  7. Jyothi. S, “Design Theory for Fuzzy Relational Databases “, Ph.D Thesis, S.V.University,Tirupati,1992.
  8. Jyothi. S and Syam Babu. M, “ Multivalued Dependencies in Fuzzy Relational Databases and Lossless Join Decomposition”, Fuzzy Sets and Systems, 88, 1997.
  9. Mamdani. E.H, “ Applications of Fuzzy Logic to Approximate Reasoning using Linguistic Systems, IEEE Trans, Comput, C-26, 1977.
  10. Miazumoto. M, Fukumi. S and Tanaka. K, “Some Methods of Fuzzy Reasoning” in Advances in Fuzzy Set Theory and Applications, M.M.Gupta et al., eds., North-Holland, Amsterdam, 1979.
  11. Prade. H and Testemale. C, “ Generalizing Database Relational Algebra for the Treatment of Incomplete or Uncertain Information and Vague Queries”, Information Sciences, 3, 1984.
  12. Prade. H, “ Lipski’s Approach to Incomplete Information Database Restated and Generalized in the Setting of Zadeh’s Possibility Theory”, Information Systems, 9, 1984.
  13. Raju. K.V. S. V. N and Majumdar. A. K, “Fuzzy Relational Databases”, Ph.D Thesis, Andhra university, Waltair, 1988.
  14. Raju. K.V. S. V. N and Majumdar. A. K, “Fuzzy Functional Dependencies and Lossless Join Decomposition of Fuzzy Ralational Database Systems” ACM Trans., Database Systems, 13, 1988.
  15. Sagiv. Y, and Walecka. S. F, “ Subset Dependencies and a Completeness Result for a Subclass of Embedded Multivalued Dependencies, JACM, 29, 2, 373-393, 1982.
  16. Senoi. S and Melton. A, “ proximity Relations in the Fuzzy Relational Database Model”, North-Holland, Elsevier, 1989.
  17. Zadeh. L. A, “ A Theory of Approximate Reasoning” in Machine Intelligence, J. Hayes et al. eds., 9, Ellis Horwood Ltd., Sussex, UK, 1979.
  18. Zadeh. L. A, “PRUF-aA Meaning Representation Language for Natural Language” in Fuzzy reasoning and Applications, E. H. Mamdani and B.R. Gaines, eds., Academic Press, New York, 1981.
  19. Zemankova-Leech. M and Kandel. A, “Fuzzy Relational Databases-A key to Expert Systems, Verlag TUV, Rhineland, 1984.
Index Terms

Computer Science
Information Sciences

Keywords

Fuzzy relational databases Fuzzy functional dependencies Fuzzy multivalued dependencies Fuzzy embedded multivalued dependencies Fuzzy subset dependencies