The Equivalence Relations Between Two Fuzzy Implications

Yuan Liang Han

doi:10.4028/www.scientific.net/AMM.644-650.2224

Paper Titles

A Kind of Self-Constructed Category Dictionary in Chinese Text Classification
p.2206

Multivariate Principal Component Analysis for Production and Energy Consumption of Cutter Suction Dredger
p.2211

An Improved Grid Search Algorithm for Parameters Optimization on SVM
p.2216

Adaptive Algorithm for Determination of Optimal Wavelet Decomposition Level Based on Jarque-Bera Test
p.2220

The Equivalence Relations Between Two Fuzzy Implications
p.2224

Study on the Determination of the Separated Layer Water Injection Based on the Grey Synthetic Degree
p.2227

Research of MPC Method on Preventing PIOs and Comparison with other Methods
p.2231

Design of Household Heat Metering Management System Based on Cloud Computing
p.2235

A New Delegation Provable Data Possession in Public Cloud Storage
p.2239

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 644-650The Equivalence Relations Between Two Fuzzy...

The Equivalence Relations Between Two Fuzzy Implications

Abstract:

A deep study on the equivalent conditions between and implications. Several equivalent theorems were given, which help to better understand the relationships between them, also enrich the content of fuzzy implication theory.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 644-650)

Pages:

2224-2226

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.644-650.2224

Citation:

Cite this paper

Online since:

September 2014

Authors:

Yuan Liang Han*

Keywords:

Automorphism, Fuzzy Implication, Strong Negation, Triangular Norm

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

* - Corresponding Author

References

[1] E.E. Kerre, C. Huang, and D. Ruan. Fuzzy Set Theory Approximate Reasoning. Wu Han University Press, Wu Chang (2004).

Google Scholar

[2] S. Gottwald. A Treatise on Many-valued Logic. Research Studies Press, Baldock (2001).

Google Scholar

[3] M. Mas, M. Monserrat, J. Torrens, and E. Trillas. A survey on fuzzy implication functions. IEEE Transactions on Fuzzy Systems, 15(2007)6: 1107-1121.

DOI: 10.1109/tfuzz.2007.896304

Google Scholar

[4] H. Bustince, V. Mohedano, E. Barrenechea, and M. Pagola. Definition and construction of fuzzy DI-subsethood measures. Information Sciences, 176(2006): 3190-3231.

DOI: 10.1016/j.ins.2005.06.006

Google Scholar

[5] P. Yan and G. Chen. Discovering a cover set of Arsi with hierarchy from quantitative databases. Information Sciences, 173(2005): 319-336.

DOI: 10.1016/j.ins.2005.03.003

Google Scholar

[6] M. Baczynski and B. Jayaram. Fuzzy Implications. Springer, Berlin Heidelberg (2008).

Google Scholar

[7] Sun W Z and Wang X Z. A study on properties of a family of fuzzy implications. Fuzzy Systems and Mathematics, 24(2010)6: 27-33.

Google Scholar

[8] J.C. Fodor. Contrapositive symmetry of fuzzy implications. Fuzzy Sets and Systems, 69(1995): 141-156.

DOI: 10.1016/0165-0114(94)00210-x

Google Scholar

[9] E.P. Klement, R. Mesiar and E. Pap. Triangular norms. Kluwer Academic Publishers, Dordrecht (2000).

Google Scholar

[10] H. Bustince, P. Burillo and F. Soria, Automorphisms, negations and implication operators, Fuzzy Sets and Systems, 134(2003): 209-229.

DOI: 10.1016/s0165-0114(02)00214-2

Google Scholar

[11] M. Baczynski, Residual implications revisited. Notes on the Smets-Magrez theorem, Fuzzy Sets and Systems, 145(2004): 267-277.

DOI: 10.1016/s0165-0114(03)00245-8

Google Scholar