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Dzenan Gusic



Authors and WSEAS

Dzenan Gusic


WSEAS Transactions on Mathematics


Print ISSN: 1109-2769
E-ISSN: 2224-2880

Volume 18, 2019

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.


Volume 18, 2019



Completeness of Inference Rules for New Vague Multivalued Dependencies

AUTHORS: Dzenan Gusic

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In this paper we prove that the set of the main inference rules for new vague functional and vague multivalued dependencies is complete set. More precisely, we prove that there exists a vague relation instance on given scheme, which satisfies all vague functional and vague multivalued dependencies from the set of all vague functional and vague multivalued dependencies that can be derived from given ones by repeated applications of the main inference rules, and violates given vague functional resp. vague multivalued dependency which is initially known not to be an element of the aforementioned set of derived vague dependencies. The paper can be considered as a natural continuation of our previous study, where new definitions of vague functional and vague multivalued dependencies are introduced, the corresponding inference rules are listed, and are shown to be sound

KEYWORDS: Vague functional and vague multivalued dependencies, inference rules, completeness

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[3] Dz. Gu ˇ siˇ c, Soundness and Completeness of In- ´ ference Rules for New Vague Functional Dependencies, MATEC Web of Conferences, to appear.

[4] Dz. Gu ˇ siˇ c, Soundness of Inference Rules for ´ New Vague Multivalued Dependencies, MATEC Web of Conferences, to appear.

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[8] J. Mishra and S. Ghosh, A New Functional Dependency in a Vague Relational Database Model, International Journal of Computer Applications 39, 2012, pp. 29–36.

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[10] M. Sozat and A. Yazici, A complete axiomatization for fuzzy functional and multivalued dependencies in fuzzy database relations, Fuzzy Sets and System 117, 2001, pp. 161–181.

[11] F. Zhao and Z.–M. Ma, Functional Dependencies in Vague Relational Databases, in: IEEE International Conference on Systems, Man, and Cybernetics, vol. 5, Taipei 2006, pp. 4006–4010.

WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 18, 2019, Art. #38, pp. 295-306


Copyright Β© 2018 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

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