Induction of Shadowed Sets Based on the Gradual Grade of Fuzziness

  title={Induction of Shadowed Sets Based on the Gradual Grade of Fuzziness},
  author={Hooman Tahayori and Alireza Sadeghian and Witold Pedrycz},
  journal={IEEE Transactions on Fuzzy Systems},
The existing methods of determining an α-cut of a fuzzy set to construct its underlying shadowed set do not fully comply with the concept of shadowed sets, namely, a retention of the total amount of fuzziness and its localized redistribution throughout a universe of discourse. Moreover, no closed formula to calculate the corresponding α-cut is available. This paper proposes analytical formulas to calculate threshold values required in the construction of shadowed sets. We introduce a new… CONTINUE READING