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Mathematical Problems in Engineering
Volume 2017, Article ID 3634258, 13 pages
Research Article

Hesitant Anti-Fuzzy Soft Set in BCK-Algebras

1Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
2Department of Natural and Engineering Science, Faculty of Applied Studies and Community Service, King Saud University, Riyadh, Saudi Arabia

Correspondence should be addressed to Halimah Alshehri; as.ude.usk@irhehslaah

Received 6 January 2017; Accepted 30 April 2017; Published 5 June 2017

Academic Editor: Anna M. Gil-Lafuente

Copyright © 2017 Halimah Alshehri and Noura Alshehri. 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.


We introduce the notions of hesitant anti-fuzzy soft set (subalgebras and ideals) and provide relation between them. However, we study new types of hesitant anti-fuzzy soft ideals (implicative, positive implicative, and commutative). Also, we stated and proved some theorems which determine the relationship between these notions.