Enhanced Interval Approach for Encoding Words into Interval Type-2 Fuzzy Sets and Its Convergence Analysis

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dc.contributor.author Wu, D. en
dc.contributor.author Mendel, Jerry M., 1938- en
dc.contributor.author Coupland, Simon en
dc.date.accessioned 2012-08-14T10:50:20Z
dc.date.available 2012-08-14T10:50:20Z
dc.date.issued 2011
dc.identifier.citation Wu, D., Mendel, J. and Coupland, S. (2011) Enhanced Interval Approach for Encoding Words into Interval Type-2 Fuzzy Sets and Its Convergence Analysis. IEEE Transactions on Fuzzy Systems, 20 (3), pp. 499-513 en
dc.identifier.issn 10636706
dc.identifier.uri http://hdl.handle.net/2086/6823
dc.description.abstract Construction of interval type-2 fuzzy setmodels is the first step in the perceptual computer, which is an implementation of computing with words. The interval approach (IA) has, so far, been the only systematic method to construct such models from data intervals that are collected from a survey. However, as pointed out in this paper, it has some limitations, and its performance can be further improved. This paper proposes an enhanced interval approach (EIA) and demonstrates its performance on data that are collected from a web survey. The data part of the EIA has more strict and reasonable tests than the IA, and the fuzzy set part of the EIA has an improved procedure to compute the lower membership function. We also perform a convergence analysis to answer two important questions: 1) Does the output interval type-2 fuzzy set from the EIA converge to a stable model as increasingly more data intervals are collected, and 2) if it converges, then how many data intervals are needed before the resulting interval type-2 fuzzy set is sufficiently similar to the model obtained from infinitely many data intervals? We show that the EIA converges in a mean-square sense, and generally, 30 data intervals seem to be a good compromise between cost and accuracy. en
dc.language.iso en en
dc.subject Computing with words (CWW) en
dc.subject convergence analysis en
dc.subject enhanced interval approach (EIA) en
dc.subject interval approach (IA) en
dc.subject interval type-2 fuzzy sets (IT2 FSs) en
dc.subject perceptual computing en
dc.title Enhanced Interval Approach for Encoding Words into Interval Type-2 Fuzzy Sets and Its Convergence Analysis en
dc.type Article en
dc.identifier.doi http://dx.doi.org/10.1109/TFUZZ.2011.2177272
dc.researchgroup Centre for Computational Intelligence en
dc.ref2014.selected 1367395509_0210680095793_11_2


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