2019
DOI: 10.1016/j.engappai.2019.06.012
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Recommendations on designing practical interval type-2 fuzzy systems

Abstract: Interval type-2 (IT2) fuzzy systems have become increasingly popular in the last 20 years. They have demonstrated superior performance in many applications. However, the operation of an IT2 fuzzy system is more complex than that of its type-1 counterpart. There are many questions to be answered in designing an IT2 fuzzy system: Should singleton or non-singleton fuzzifier be used? How many membership functions (MFs) should be used for each input? Should Gaussian or piecewise linear MFs be used? Should Mamdani o… Show more

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Cited by 113 publications
(39 citation statements)
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References 56 publications
(99 reference statements)
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“…IT2 fuzzy sets mainly consider trapezoidal membership function. In this framework, it is mainly aimed to minimize uncertainty occurred in the classical fuzzy sets [22][23]. Alpha cuts are considered in the fuzzy systems-based decision-making analysis with the aim of solving the problem more effectively and appropriately [27].…”
Section: A Proposed Methodsmentioning
confidence: 99%
See 2 more Smart Citations
“…IT2 fuzzy sets mainly consider trapezoidal membership function. In this framework, it is mainly aimed to minimize uncertainty occurred in the classical fuzzy sets [22][23]. Alpha cuts are considered in the fuzzy systems-based decision-making analysis with the aim of solving the problem more effectively and appropriately [27].…”
Section: A Proposed Methodsmentioning
confidence: 99%
“…The fifth step includes the identification of the network relation map by considering the equations (21)- (23).…”
Section: Appendix C -Alpha Level Setsmentioning
confidence: 99%
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“…where K represents the sample range; ) (k Y denotes the weight sequence of the output, which is obtained by sorting the rule consequents of the rule base in increasing order; y l and y r represent the left and right boundaries of the reduced fuzzy set, respectively; and L and R are estimated according to the KM algorithm [34]. The detailed process is described in [16] and [34].…”
Section: ) Type-reductionmentioning
confidence: 99%
“…Generally, there is no restriction on the number of MFs one could use; however, it is practically recommended to use less than 7 MFs in each input domain of a type-1 or type-2 fuzzy system to reduce computational cost, reduce number of rules, and make interpreting more straightforward [46]. The common MF shapes in type-2 are Gaussian, bell-shaped and piecewise linear.…”
Section: Rvs Modeling Based On Interval Type-2 Fuzzy Systemmentioning
confidence: 99%