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Lattices of (generalized) fuzzy filters in residuated lattices
Journal of Intelligent & Fuzzy Systems, 2014(Generalized) fuzzy filters in logical algebras were extensively researched. In this paper, associated with the notion of tip-extended pair of fuzzy sets, it is proved, respectively, that the sets of all fuzzy filters and all generalized fuzzy filters form bounded distributive lattices.
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Linear Representation of Residuated Lattices
2012We reconsider the notion of semilinear space and consider it as a couple of two semimodules connected by residuated scalar multiplications. We show that under certain conditions the semigroup of endomorphisms of a semilinear space is a residuated, commutative l-monoid.
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Q-residuated lattices and lattice pseudoeffect algebras
Soft Computing, 2022Xiaohong Zhang 0001, Mei Wang, Nan Sheng
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On v-filters and normal v-filters of a residuated lattice with a weak vt-operator
Information Sciences, 2008Zhudeng Wang
exaly
Conical residuated lattice-ordered idempotent monoids
Semigroup Forum, 2009Xianzhong Zhao, Xiaojiang Guo
exaly
Spectrum Topology of a Residuated Lattice
Fuzzy Information and Engineering, 2013Mahmood Bakhshi
exaly
Variety generated by conical residuated lattice-ordered idempotent monoids
Semigroup Forum, 2019Yizhi Chen
exaly
Intuitionistic fuzzy automata based on complete residuated lattice-valued logic
International Journal of Materials and Product Technology, 2012Qiansheng Zhang, Yirong Huang
exaly

