Highly Influenced

@article{Tahayori2013InductionOS, 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}, year={2013}, volume={21}, pages={937-949} }

- Published 2013 in IEEE Transactions on Fuzzy Systems
DOI:10.1109/TFUZZ.2012.2236843

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