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Soft Lattice Implication Subalgebras

Gaoping Zheng, Zuhua Liao, Nini Wang, Licheng Zhang, Yingying Fan, Chan Zhu
2013 Applied Mathematics & Information Sciences  
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.
doi:10.12785/amis/070341 fatcat:vdjhqxfl7bhtzffxabdesmlgwm