In this paper, we deal with soft MTL-algebras based on fuzzy sets. By meansof $\in$-soft sets and q-soft sets, some characterizations of (Boolean, G- andMV-) filteristic soft MTL-algebras are investigated. Finally, we prove that asoft set is a Boolean filteristic soft MTL-algebra if and only if it is both aG-filteristic soft MTL-algebra and an MV-filteristic soft MTL-algebra.
展开▼
机译:在本文中,我们基于模糊集处理软MTL代数。通过$ \ in $-软集和q-软集,研究了(布尔,G-和MV-)过滤软MTL代数的一些特征。最后,当且仅当它既是aG过滤软MTL代数又是MV过滤软MTL代数时,我们证明asoft集是布尔过滤软MTL代数。
展开▼