Combining interval-valued intuitionistic fuzzy sets, t-norm T and s-norm S on D [0, 1] with the notion of ideal in lattice implication algebras, the concepts of interval-valued intuitionistic (T, S)-fuzzy LI-ideal and interval-valued intuitionistic (T, S)-fuzzy lattice ideal are introduced, some their properties are investigated. Some characterization theorems of interval-valued intuitionistic (T, S)-fuzzy LI-ideals are obtained. It is proved that the notion of interval-valued intuitionistic (T, S)-fuzzy LIideal is equivalent to the notion of interval-valued intuitionistic (T, S)-fuzzy lattice ideal in a lattice H implication algebra.
CITATION STYLE
Liu, C. H. (2017). Interval-valued intuitionistic (T, S)-fuzzy LI-ideals in lattice implication algebras. In Advances in Intelligent Systems and Computing (Vol. 510, pp. 337–347). Springer Verlag. https://doi.org/10.1007/978-3-319-46206-6_33
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