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arxiv: 1003.4595 · v1 · pith:RUKPK75Vnew · submitted 2010-03-24 · 🧮 math.LO

Soft MTL-algebras based on fuzzy sets

classification 🧮 math.LO
keywords softsetsmtl-algebramtl-algebrasbooleanfilteristicfuzzycharacterizations
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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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