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@Article{VetterleinNavara-FSS_Steiner,
author = {Vetterlein, Thomas and Navara, Mirko},
title = {Defuzzification using {S}teiner points},
year = {2006},
month = {June},
pages = {1455--1462},
journal = {Fuzzy Sets and Systems},
publisher = { Elsevier Science },
address = { Amsterdam, The Netherlands },
issn = { 0165-0114 },
authorship = { 50-50 },
volume = {157},
number = {11},
annote = {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
domains consist of fuzzy sets and which fulfil analogous
properties. Although uniqueness can no longer be achieved, we
give a complete characterisation of what we call Steiner points of
fuzzy sets.},
keywords = {fuzzy set, defuzzification, support function,
Steiner point, computer vision, medical imaging},
psurl = { [PDF] },
}