English

Soft MTL-algebras based on fuzzy sets

Logic 2013-05-28 v1

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.

Keywords

Cite

@article{arxiv.1003.4595,
  title  = {Soft MTL-algebras based on fuzzy sets},
  author = {J. Zhan and W. A. Dudek},
  journal= {arXiv preprint arXiv:1003.4595},
  year   = {2013}
}
R2 v1 2026-06-21T15:01:46.065Z