Complex Fuzzy Sets with Application in BCK/BCI-Algebras

Young Bae Jun; Xiao Long Xin

doi:10.18778/0138-0680.48.3.02

Authors

Young Bae Jun Gyeongsang National University, Department of Mathematics Education
Xiao Long Xin Northwest University, China, School of Mathematics

DOI:

https://doi.org/10.18778/0138-0680.48.3.02

Keywords:

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

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.

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