SOFT MTL-ALGEBRAS BASED ON FUZZY SETS

作者：Zhan, Jianming^*; Dudek, Wieslaw A.

来源：University Politehnica of Bucharest Scientific Bulletin-series A-applied Mathematics and Physics, 2012, 74(2): 41-56.

• Soft MTL-algebra
• (is an element of, is an element of Vq)-fuzzy (Boolean, G- and MV-) filter
• ((is an element of)over-bar, (is an element of)over-bar V(q)over-bar)-fuzzy (Boolean, G- and MV-) filter
• fuzzy (Boolean, G- and MV-) filter with thresholds
• (Boolean, G- and MV-) filteristic soft MTL-algebra

In this paper, we deal with soft MTL-algebras based on fuzzy sets. By means of is an element of-soft sets and q-soft sets, some characterizations of (Boolean, G- and MV-) filteristic soft MTL-algebras are investigated. Finally, we prove that a soft set is a Boolean filteristic soft MTL-algebra if and only if it is both a G-filteristic soft MTL-algebra and an MV-filteristic soft MTL-algebra.

• 出版日期2012
• 单位湖北民族大学