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A Vector Similarity Measure for Interval Type-2 Fuzzy Sets

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2 Author(s)
Dongrui Wu ; Southern California Univ., Los Angeles ; Mendel, J.M.

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 tilde, 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 tilde and B tildei to find the B tildei most similar to A tilde. 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.

Published in:

Fuzzy Systems Conference, 2007. FUZZ-IEEE 2007. IEEE International

Date of Conference:

23-26 July 2007

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