Distances between interval-valued intuitionistic fuzzy sets

J H Park · Ki Moon Lim · Young Chel Kwun

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Fuzzy and Soft Set Theory Multi-Criteria Decision Making Advanced Algebra and Logic

Abstract

We give a geometrical interpretation of the interval-valued fuzzy set (IVFS). Based on the geometrical background, we propose new distance measures between IVFSs and compare these measures with distance measures proposed by Burillo and Bustince (1996) and Grzegorzewski (2004), respectively. Furthermore, we extend three methods for measuring distances between IVFSs to interval-valued intuitionistic fuzzy sets.

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References

1965Fuzzy sets 1986Intuitionistic fuzzy sets 1989Interval valued intuitionistic fuzzy sets 2000Distances between intuitionistic fuzzy sets 1996Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets 2002On the relationship between some extensions of fuzzy set theory 2003Distances between intuitionistic fuzzy sets and/or interval-valued fuzzy sets based on the Hausdorff metric 2005Relationship between similarity measure and entropy of interval valued fuzzy sets

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