Complex Fuzzy Sets with Application in BCK/BCI-Algebras
Bulletin of the Section of Logic (2019)
- Volume: 48, Issue: 3, page 173-185
- ISSN: 0138-0680
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topYoung Bae Jun, and Xiao Long Xin. "Complex Fuzzy Sets with Application in BCK/BCI-Algebras." Bulletin of the Section of Logic 48.3 (2019): 173-185. <http://eudml.org/doc/295559>.
@article{YoungBaeJun2019,
abstract = {As a generation of fuzzy set, the notion of complex fuzzy set which is an innovative concept is introduced by Ramot, Milo, Friedman and Kandel. The purpose of this article is to apply complex fuzzy set to BCK/BCI-algebras. The notions of a complex subalgebra and a complex left (right) reduced ideal in a BCK/BCI- algebra are introduced, and related properties are investigated. Characterizations of a complex subalgebra are provided, and the homomorphic image (preimage) of a complex subalgebra and a complex left (right) reduced ideal.},
author = {Young Bae Jun, Xiao Long Xin},
journal = {Bulletin of the Section of Logic},
keywords = {complex t-norm; min-complex t-norm; complex subalgebra; complex left (right) reduced ideal; complex characteristic function},
language = {eng},
number = {3},
pages = {173-185},
title = {Complex Fuzzy Sets with Application in BCK/BCI-Algebras},
url = {http://eudml.org/doc/295559},
volume = {48},
year = {2019},
}
TY - JOUR
AU - Young Bae Jun
AU - Xiao Long Xin
TI - Complex Fuzzy Sets with Application in BCK/BCI-Algebras
JO - Bulletin of the Section of Logic
PY - 2019
VL - 48
IS - 3
SP - 173
EP - 185
AB - As a generation of fuzzy set, the notion of complex fuzzy set which is an innovative concept is introduced by Ramot, Milo, Friedman and Kandel. The purpose of this article is to apply complex fuzzy set to BCK/BCI-algebras. The notions of a complex subalgebra and a complex left (right) reduced ideal in a BCK/BCI- algebra are introduced, and related properties are investigated. Characterizations of a complex subalgebra are provided, and the homomorphic image (preimage) of a complex subalgebra and a complex left (right) reduced ideal.
LA - eng
KW - complex t-norm; min-complex t-norm; complex subalgebra; complex left (right) reduced ideal; complex characteristic function
UR - http://eudml.org/doc/295559
ER -
References
top- D. Ramot, R. Milo, M. Friedman and A. Kandel, Complex fuzzy sets, IEEE Transactions on Fuzzy Systems 10(2), (2002), pp. 171–186.
- D.E. Tamir and A. Kandel, Axiomatic theory of complex fuzzy logic and complex fuzzy classes, International Journal of Computers Communications & Control, 6 (2011), no. 3, pp. 562–576.
- Y. Al-Qudah and N. Hassan, Operations on complex multi-fuzzy sets, Journal of Intelligent and Fuzzy Systems 33 (2017), pp. 1527–1540. DOI:10.3233/JIFS-162428
- Y. S. Huang, BCI-algebra, Science Press, China (2006).
- J. Meng and Y. B. Jun, BCK-algebras, Kyungmoon Sa Co., Seoul (1994).
- A. Azam, B. Fisher and M. Khan, Common fixed point theorems in complex valued metric spaces, Numerical Functional Analysis and Optimization 32(3), (2011), pp. 243–253.
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