States on finite monoidal t-norm based algebras

@article{Liu2011StatesOF,
  title={States on finite monoidal t-norm based algebras},
  author={Lianzhen Liu},
  journal={Inf. Sci.},
  year={2011},
  volume={181},
  pages={1369-1383}
}
The aim of this paper is to study the existences of Bosbach states and Riečan states on finite monoidal t-norm based algebras (MTL-algebras for short). We give some examples to show that there exist MTL-algebras having no Bosbach states and Riečan states. The conditions under which MTL-algebras have Bosbach states and Riečan states are investigated, respectively. We prove that Riečan states on MTL-algebras are reduced to states on IMTL-algebras. Furthermore, the necessary and sufficient… CONTINUE READING

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