Soft residuated lattice based on intuitionistic fuzzy sets
نویسنده
چکیده
In this paper, the concept of intuitionistic fuzzy soft sets is applied to residuated lattices. The notion of intuitionistic fuzzy soft filters of a residuated lattice is introduced and some related properties are investigated. Then the representations of generated intuitionistic fuzzy soft filters are established. We prove that the lattice of all intuitionistic fuzzy soft filters of a residuated lattice is a complete lattice. We determine the compact elements of this lattice and show that it is a distributive algebraic lattice. 2010 AMS Classification: 03G25, 03E72, 08A72, 06D99
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