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Dzenan Gusic



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Dzenan Gusic


WSEAS Transactions on Systems and Control


Print ISSN: 1991-8763
E-ISSN: 2224-2856

Volume 14, 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 14, 2019



On Fuzzy Dependencies and g-Generated Fuzzy Implications in Fuzzy Relations

AUTHORS: Dzenan Gusic

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ABSTRACT: In this paper we use the g-generated fuzzy implications to research the concept of automatization in the process of derivation of new fuzzy functional and fuzzy multivalued dependencies from some given set of fuzzy functional and fuzzy multivalued dependencies. The formal definitions of fuzzy functional and fuzzy multivalued dependencies that we apply are based on application of similarity relations and conformance values. In this context, the paper follows similarity based fuzzy relational database approach. In order derive and then apply our results, we identify fuzzy dependencies with fuzzy formulas. The obtained results are verified through the resolution principle.

KEYWORDS: Fuzzy conjunctions, disjunctions and implications, g-implications, inference rules, resolution principle, fuzzy formulas, fuzzy functional and multivalued dependencies

REFERENCES:

[1] M. Baczynski and B. Jayaram, Yager’s classes ´ of fuzzy implications: some properties and intersections, Kybernetika 43, 2007, pp. 157–182.

[2] M. Baczynski and B. Jayaram, ´ Fuzzy Implications, Springer–Verlag, Berlin-Heidelberg 2008

[3] M. Baczynski and B. Jayaram, On the distribu- ´ tivity of fuzzy implications over nilpotent or strict triangular conorms, IEEE Trans. Fuzzy Systems 17, 2009, pp. 590–603.

[4] N. Dukic, D ´ z. Gu ˇ siˇ c, and N. Kajmovi ´ c, Re- ´ ichenbach and f-generated implications in fuzzy database relations, Int. J. of Circuits, Systems and Signal Processing 12, 2018, pp. 285–297.

[5] N. Dukic, D´ z. Gu ˇ siˇ c, A. Muratovi ´ c-Ribi ´ c, A. Al- ´ ihodziˇ c, E. Tabak, and H. Duki ´ c, From fuzzy ´ dependences to fuzzy formulas and vice versa, for Kleene-Dienes fuzzy implication operator, WSEAS Trans. on Systems and Control 13, 2018, pp. 285–297.

[6] J. C. Fodor and M. Roubens, Fuzzy preference modelling and multicriteria decision support, Kluwer, Dordrecht 1994

[7] Dz. Gu ˇ siˇ c, Continuous maps in fuzzy relations, ´ WSEAS Trans. on Systems and Control 13, 2018, pp. 324–344.

[8] B. Jayaram, Yager’s new new class of implications Jf and some classical tautologies, Inform. Sci. 177, 2007, pp. 930–946.

[9] L. Kitainik, Fuzzy decision procedures with binary relations, Kluwer, Dordrecht 1993

[10] Y. Shi, A Deep Study of Fuzzy Implications, Ph.D. dissertation, Faculty of Science, Ghent University, Ghent, 2009.

[11] M. I. Sozat and A. Yazici, A complete axiom- ¨ atization for fuzzy functional and multivalued dependencies in fuzzy database relations, Fuzzy Sets and Systems 117, 2001, pp. 161–181.

[12] J. Villar and M. A. Sanz-Bobi, Semantic analysis of fuzzy models, application to Yager models, in: N. Mastorakis (ed.) Advances in Fuzzy Systems and Evolutionary Computation. Proc. 2nd WSES International Conference on Fuzzy Sets and Fuzzy Systems (FSFS 2001), Puerto de la Cruz 2001, pp. 82-87.

[13] R. R. Yager, On some new classes of implication operators and their role in approximate reasoning, Inform. Sci. 167, 2004, pp. 193–216.

WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 14, 2019, Art. #10, pp. 71-89


Copyright Β© 2019 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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