| On Intuitionistic Fuzzy LI-ideals in Lattice Implication Algebras |
| Received:September 02, 2014 Revised:December 22, 2014 |
| Key Words:
lattice-valued logic lattice implication algebra intuitionistic fuzzy \emph{LI}-ideal
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.60774073). |
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| Abstract: |
| In the present paper, the intuitionistic fuzzy LI-ideal theory in lattice implication algebras is further studied. Some new properties and equivalent characterizations of intuitionistic fuzzy LI-ideals are given. Representation theorem of intuitionistic fuzzy LI-ideal which is generated by an intuitionistic fuzzy set is established. It is proved that the set consisting of all intuitionistic fuzzy LI-ideals in a lattice implication algebra, under the inclusion order, forms a complete distributive lattice. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2015.04.001 |
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