In this paper, we introduce the concepts of soft lattice implication subalgebras, endow a parameter set as a lattice implication algebra, and further discuss its equivalent characterization. Then, new operations of soft lattice implication subalgebras are introduced, under which two soft lattice implication subalgebras is also a soft lattice implication subalgebra. Finally, the concepts of image and preimage of a soft lattice implication subalgebra and their properties are presented.
Zheng, Gaoping; Liao, Zuhua; Wang, Nini; Zhang, Licheng; Fan, Yingying; and Zhu, Chan
"Soft Lattice Implication Subalgebras,"
Applied Mathematics & Information Sciences: Vol. 07
, Article 41.
Available at: https://dc.naturalspublishing.com/amis/vol07/iss3/41