Fuzzy tolerance quotient spaces and fuzzy subsets

@article{Zhang2010FuzzyTQ,
  title={Fuzzy tolerance quotient spaces and fuzzy subsets},
  author={Ling Zhang and Bo Zhang},
  journal={Science China Information Sciences},
  year={2010},
  volume={53},
  pages={704-714}
}
The structure and characteristic of fuzzy subsets are discussed by using the concepts of granulation and hierarchy in quotient space theory. First, the equivalence relation based quotient space theory is extended to the fuzzy tolerance relation. Second, the isomorphism and its discriminant of fuzzy tolerance relations are discussed. Finally, by using the fuzzy tolerance relation to define the fuzzy subset, its properties are addressed. The main results are given below: (1) several equivalent… CONTINUE READING

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