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2007
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A Vector Similarity Measure for Interval Type-2 Fuzzy Sets

13 years 7 months ago
A Vector Similarity Measure for Interval Type-2 Fuzzy Sets
Fuzzy logic is frequently used in computing with words (CWW). When input words to a CWW engine are modeled by interval type-2 fuzzy sets (IT2 FSs), the CWW engine's output can also be an IT2 FS, A, which needs to be mapped to a linguistic label so that it can be understood. Because each linguistic label is represented by an IT2 FS Bi, there is a need to compare the similarity of A and Bi to find the Bi most similar to A. In this paper, a vector similarity measure (VSM) is proposed for IT2 FSs, whose two elements measure the similarity in shape and proximity, respectively. A comparative study shows that the VSM gives more reasonable results than all other existing similarity measures for IT2 FSs.
Dongrui Wu, Jerry M. Mendel
Added 16 Aug 2010
Updated 16 Aug 2010
Type Conference
Year 2007
Where FUZZIEEE
Authors Dongrui Wu, Jerry M. Mendel
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