Complex Fuzzy Sets with Application in BCK/BCI-Algebras

• Autorzy: Young Bae Jun , Xiao Long Xin
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

complex t-norm; min-complex t-norm; complex subalgebra; complex left (right) reduced ideal; complex characteristic function

• Wydawca: Wydawnictwo Uniwersytetu Łódzkiego
• Czasopismo: Bulletin of the Section of Logic
• Rocznik: 2019
• Tom: 48
• Numer: 3
• Strony: 173-185

Daty

wydano

2019-10-30

Twórcy

autor

Young Bae Jun

• Gyeongsang National University, Department of Mathematics Education

autor

Xiao Long Xin

• Northwest University, China, School of Mathematics

Bibliografia

• 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.

Identyfikatory

DOI

10.18778/0138-0680.48.3.02