A single-valued neutrosophic(SVN) set is a powerful general formal framework that generalizes the concept of fuzzy set and intuitionistic fuzzy set. In SVN set, indeterminacy is quantified explicitly, and truth member...
We introduce the notion of a right bi-Giraud recollement for abelian categories. We show that right bi-Giraud recollements are bijective to cohereditary and hereditary torsion pairs. We obtain such torsion pairs in th...
Supported by the National Natural Science Foundation of China(Grant No.60774073);the Higher School Research Foundation of Inner Mongolia(Grant No.NJSY14283)
In the present paper, the interval-valued (ε, εv q)-fuzzy LI-ideal theory in lattice implication algebras is further studied. Some new properties of interval-valued (ε, ε v q)-fuzzy LI-ideals are given. Repres...
Supported by the National Natural Science Foundation of China.(Grant No.60774073)
In the present paper, the intuitionistic fuzzy LI-ideal theory in lattice implication algebras is further studied. Some new properties and equivalent characterizations of intuition- istic fuzzy LI-ideals are given. ...
We introduce the notions of implicative ideals and fuzzy implicative ideals of a distributive implication groupoid. Some properties of these ideals will be investigated. In particular, the necessary and sufficient con...