Defuzzification using Steiner points

@article{Vetterlein2006DefuzzificationUS,
  title={Defuzzification using Steiner points},
  author={Thomas Vetterlein and Mirko Navara},
  journal={Fuzzy Sets and Systems},
  year={2006},
  volume={157},
  pages={1455-1462}
}
A defuzzification function assigns to each fuzzy set a crisp value in a way that this value may intuitively be understood as the “centre” of the fuzzy set. In the present paper, this vague concept is put into a mathematically rigorous form. To this end, we proceed analogously to the case of sharply bordered subsets, for which the Steiner point is frequently used. The function assigning to each convex subset its Steiner point is characterised by three properties; here, we study functions whose… CONTINUE READING

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