FUZZY TRANSLATIONS AND FUZZY MULTIPLICATIONS OF BCK/BCI-ALGEBRAS

被引：11
|
作者：
Lee, Kyoung Ja [1 ]
Jun, Young Bae [2 ]
Doh, Myung Im [3 ]
机构：
[1] Hannam Univ, Dept Math Educ, Daejeon 306791, South Korea
[2] Gyeongsang Natl Univ, Dept Math Educ & RINS, Chinju 660701, South Korea
[3] Gyeongsang Natl Univ, Dept Math, Chinju 660701, South Korea
来源：
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2009年 / 24卷 / 03期
关键词：
fuzzy translation; (normalized maximal) fuzzy extension; fuzzy multiplication;
D O I：
10.4134/CKMS.2009.24.3.353
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The study of BCK-algebras was initiated by K. Iseki in 1966 as a generalization of the concept of set-theoretic difference and propositional calculus. For the general development of BCK/BCI-algebras, the ideal theory and its fuzzification play an important role. Jun (together with Kim, Meng, Song, and Xin) studied fuzzy trends of several notions in BCK/BCI-algebras (see [2, 3, 4, 6]). In this paper, we discuss fuzzy translations, (normalized, maximal) fuzzy extensions and fuzzy multiplications of fuzzy subalgebras in BCK/BCI- algebras. We investigate relations among fuzzy translations, (normalized, maximal) fuzzy extensions and fuzzy multiplications.
引用
收藏
页码：353 / 360
页数：8
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