Generalized Fuzzy Ideals of BCK-Algebras

Author

Sun, Shaoquan ; Guozhu, Liu

Author_Institution

Coll. of Math. & Phys., Qingdao Univ. of Sci. & Technol., Qingdao, China

Volume

2

fYear

2009

fDate

28-30 Oct. 2009

Firstpage

18

Lastpage

21

Abstract

In this paper, the concepts of generalized fuzzy sub-algebras , generalized fuzzy ideals and generalized fuzzy implicative ideals of BCK-algebras are introduced. The following results are obtained: for a BCK-algebra X, any generalized fuzzy ideal of X must be a generalized fuzzy sub-algebra; a fuzzy set A of X is a generalized fuzzy ideal (implicative ideal) of X if and only if, for all t Â¿ (Â¿, Â¿), A_t is either empty or an ideal (implicative ideal) of X; suppose that A and B are generalized fuzzy ideals of X with A Â¿ B b, if A is a generalized fuzzy implicative ideal of X, then so is B. Also, several characterizations of generalized fuzzy implicative ideals are given.

Keywords

algebra; fuzzy set theory; BCK-algebra; fuzzy implicative ideal; fuzzy set; fuzzy subalgebras; Algebra; Computer science; Educational institutions; Fuzzy sets; Mathematics; Physics; Sun; BCK-algebra; fuzzy ideal; fuzzy sub-algebra; generalized fuzzy sub-algebra; generalized fuzzy(implicative) ideal;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Science and Engineering, 2009. WCSE '09. Second International Workshop on

Conference_Location

Qingdao

Print_ISBN

978-0-7695-3881-5

Type

conf

DOI

10.1109/WCSE.2009.757

Filename

5403369