On some new classes of implication operators and their role in approximate reasoning

@article{Yager2004OnSN,
  title={On some new classes of implication operators and their role in approximate reasoning},
  author={Ronald R. Yager},
  journal={Inf. Sci.},
  year={2004},
  volume={167},
  pages={193-216}
}
The basic properties required of the multivalued implication operator are introduced. The generation of these operators using the S and R implications is discussed. We suggest two new approaches for obtaining multivalued implications based on the direct use of additive generating functions. Some new classes of implication operators using these generators methods are derived. The role of the multivalued implication within the fuzzy logic based theory of approximate reasoning is described. A… CONTINUE READING

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