基于模糊集的软MTL-代数
Soft MTL-algebras based on fuzzy sets
摘要：
本文研究了基于模糊集的软MTL-代数。利用$\in$ -软集和q-软集，研究了（Boolean，G-和MV-）滤子性软MTL-代数的一些刻画.最后，我们证明了一个软集是布尔滤子软MTL-代数当且仅当它既是G-滤子软MTL-代数又是MV-滤子软MTL-代数。
英文摘要：
In this paper, we deal with soft MTL-algebras based on fuzzy sets. By means of $\in$-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.
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