A new study on soft rough fuzzy lattices (ideals, filters) over lattices

作者：Zhu, Kuan Yun; Hu, Bao Qing^*

来源：Journal of Intelligent and Fuzzy Systems, 2017, 33(4): 2391-2402.

DOI：10.3233/JIFS-17520

• Soft rough set
• fuzzy sublattice (ideal,filter)
• soft rough fuzzy lattice (ideal,filter)

In this paper, we investigate the relationship among soft sets, rough sets, fuzzy sets and lattices. The notion of soft rough fuzzy lattices (ideals, filters) over lattices is introduced, which is an extended notion of soft rough lattices (ideals, filters) and rough fuzzy lattices (ideals, filters) over lattices. Moreover, we study roughness in lattices with respects to a soft approximation space. Some new soft rough fuzzy operations over lattices are explored. In particular, lower and upper soft rough fuzzy lattices (ideals, filters) over lattices with respect to another fuzzy soft set are investigated.

• 出版日期2017
• 单位武汉大学