Soft MTL-algebras based on fuzzy sets

zbMATH Open1289.03052arXiv1003.4595MaRDI QIDQ2861376

Jianming Zhan, Wiesław A. Dudek

Publication date: 8 November 2013

Published in: Scientific Bulletin. Series A. Applied Mathematics and Physics. Politehnica University of Bucharest (Search for Journal in Brave)

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/1003.4595

zbMATH Keywords

fuzzy filter with thresholdssoft MTL-algebra

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Other algebras related to logic (03G25) MV-algebras (06D35)

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