复模糊集在BCK/ bci代数中的应用

Q2 Arts and Humanities Bulletin of the Section of Logic Pub Date : 2019-10-30 DOI:10.18778/0138-0680.48.3.02

Y. Jun, X. Xin

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引用次数: 9

摘要

复模糊集作为模糊集的一代，是Ramot、Milo、Friedman和Kandel等人提出的一个创新概念。本文的目的是将复模糊集应用于BCK/ bci代数。引入了BCK/BCI-代数中的复子代数和复左(右)约简理想的概念，并研究了相关性质。给出了复子代数的刻画，并给出了复子代数与复左(右)约简理想的同态像(原像)。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Complex Fuzzy Sets with Application in BCK/BCI-Algebras

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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