2020
DOI: 10.1016/j.ins.2019.09.027
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On the choice of similarity measures for type-2 fuzzy sets

Abstract: Similarity measures are among the most common methods of comparing type-2 fuzzy sets and have been used in numerous applications. However, deciding how to measure similarity and choosing which existing measure to use can be difficult. Whilst some measures give results that highly correlate with each other, others give considerably different results. We evaluate all of the current similarity measures on type-2 fuzzy sets to discover which measures have common properties of similarity and, for those that do not,… Show more

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Cited by 23 publications
(7 citation statements)
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“…IAA method can effectively reduce the quantity and degree of assumptions. In addition, this method constructs nonparametric model based on interval data without determining the specific type of FSs (such as Gaussian and Triangular) 50 , 51 . At same times it can greatly diminish the loss of information when reduce the higher ordered model 52 .…”
Section: Methodsmentioning
confidence: 99%
“…IAA method can effectively reduce the quantity and degree of assumptions. In addition, this method constructs nonparametric model based on interval data without determining the specific type of FSs (such as Gaussian and Triangular) 50 , 51 . At same times it can greatly diminish the loss of information when reduce the higher ordered model 52 .…”
Section: Methodsmentioning
confidence: 99%
“…[15] and Section 3, based mostly on traditional and on interval-valued fuzzy sets (aka interval type-2 fuzzy sets), are the main premise to consider general type-2 fuzzy sets and type-2 fuzzy logic systems to be applied. This idea is mainly inspired by many successful applications of type-2 fuzzy logic systems [27,28,29,30,31,32] supported via pioneer descriptions and explanations of building T2FLSs by Mendel et al [22,33,34,35,36]. Our first attempt to apply higher order fuzzy logic systems in managing the SCR process is presented in [15], however from the current point of view, it was limited to interval type-2 fuzzy set only; here, we present T2FLSs based on general (mostly triangular type-2 fuzzy sets) and the results achieved are promising.…”
Section: Type-2 Fuzzy Logic Systems Managing Data In the Scr Processmentioning
confidence: 99%
“…Firstly, the fuzzy sets [21][22] A1, A2 and A3 are taken to represent three levels of user tag weights, namely "small, moderate and large" respectively, and the corresponding ones are generated MDF [23], as shown in Figure 4 (taking social tag as an example). In this paper, gaussian function [24] is used to represent fuzzy sets.…”
Section: Determination Of Membership Degree Function (Mdf)mentioning
confidence: 99%