SOFT LATTICE IMPLICATION ALGEBRAS BASED ON FUZZY SETS

作者：Zhan, Jianming^*; Xu, Yang

来源：Hacettepe Journal of Mathematics and Statistics, 2011, 40(4): 483-492.

• (Implicative) filter
• (is an element of is an element of Vq)-fuzzy (implicative) filter
• ((is an element of)over-bar, (is an element of)over-bar V (q)over-bar)-fuzzy (implicative) filter
• Fuzzy (implicative) filter with thresholds
• (Implicative) filteristic soft lattice implication algebra

In this paper, we deal with soft lattice implication algebras based on fuzzy sets. Using the concepts of fuzzy (implicative) filters, (is an element of, is an element of Vq)-fuzzy (implicative) filters and ((is an element of) over bar, (is an element of) over barV (q) over bar)-fuzzy (implicative) filters, some characterizations for is an element of-soft sets and q-soft sets to be (implicative) filteristic soft lattice implication algebras are established.

• 出版日期2011-8
• 单位湖北民族大学; 西南交通大学