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The Scientific World Journal
Volume 2015, Article ID 198672, 6 pages
Research Article

Int-Soft (Generalized) Bi-Ideals of Semigroups

1Department of Mathematics Education, Gyeongsang National University, Jinju 660-701, Republic of Korea
2Department of Mathematics, Jeju National University, Jeju 690-756, Republic of Korea

Received 14 August 2014; Accepted 23 December 2014

Academic Editor: Guilong Liu

Copyright © 2015 Young Bae Jun and Seok-Zun Song. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The notions of int-soft semigroups and int-soft left (resp., right) ideals in semigroups are studied in the paper by Song et al. (2014). In this paper, further properties and characterizations of int-soft left (right) ideals are studied, and the notion of int-soft (generalized) bi-ideals is introduced. Relations between int-soft generalized bi-ideals and int-soft semigroups are discussed, and characterizations of (int-soft) generalized bi-ideals and int-soft bi-ideals are considered. Given a soft set over U, int-soft (generalized) bi-ideals generated by are established.