The Lattice of Interval Valued Open image in new window-fuzzy Filters in a Given MTL-algebra

  • Chunhui LiuEmail author
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1074)


In the present paper, the interval valued Open image in new window -fuzzy filter theory in MTL-algebras is further studied. Some new properties of interval valued Open image in new window -fuzzy filters are given. It is proved that the set consisting of all interval valued Open image in new window -fuzzy filters in a given MTL-algebra, under the partial order \(\sqsubseteq \), forms a complete distributive lattice.


Many-valued logic MTL-algebra Interval-valued Open image in new window -fuzzy filter Complete distributive lattice 


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Authors and Affiliations

  1. 1.School of Mathematics and StatisticsChifeng UniversityChifengChina

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