Journal
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS
Volume 24, Issue 4, Pages 399-420Publisher
WILEY
DOI: 10.1002/int.20342
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Most existing distances between intuitionistic fuzzy sets are defined in linear plane re presentations in 2D or 3D space. Here, we define a new interpretation of intuitionistic fuzzy sets as a restricted spherical surface in 3D space. A new spherical distance tor intuitionistic fuzzy sets is introduced. We prove that the spherical distance is different from those existing distances in that it is nonlinear with respect to the change of the corresponding fuzzy membership degrees. (C) 2009 Wiley Periodicals, Inc.
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