TY - CHAP
T1 - A Note on the KM Algorithm for Computing the Variance of an Interval Type-2 Fuzzy Set
AU - Figueroa-García, Juan Carlos
AU - Franco, Carlos
AU - Tenjo-García, Jhoan Sebastian
N1 - Publisher Copyright:
© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.
PY - 2022
Y1 - 2022
N2 - This work presents some considerations about the computation of the relative variance for Interval Type-2 Fuzzy Sets. Based on experimental evidence, the computation of the relative variance of an interval Type-2 fuzzy set using the KM algorithm needs more computations than using the original KM algorithm in order to obtain their boundaries since the variance combined with the KM algorithm results in a nonlinear behavior. A modified KM algorithm for computing the relative variance of an interval type-2 fuzzy set is proposed and a comprehensive analysis of its behavior is provided through two examples.
AB - This work presents some considerations about the computation of the relative variance for Interval Type-2 Fuzzy Sets. Based on experimental evidence, the computation of the relative variance of an interval Type-2 fuzzy set using the KM algorithm needs more computations than using the original KM algorithm in order to obtain their boundaries since the variance combined with the KM algorithm results in a nonlinear behavior. A modified KM algorithm for computing the relative variance of an interval type-2 fuzzy set is proposed and a comprehensive analysis of its behavior is provided through two examples.
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U2 - 10.1007/978-3-030-82099-2_12
DO - 10.1007/978-3-030-82099-2_12
M3 - Chapter
AN - SCOPUS:85113374273
SN - 9783030820985
T3 - Lecture Notes in Networks and Systems
SP - 130
EP - 140
BT - Explainable AI and Other Applications of Fuzzy Techniques - Proceedings of the 2021 Annual Conference of the North American Fuzzy Information Processing Society, NAFIPS 2021
A2 - Rayz, Julia
A2 - Raskin, Victor
A2 - Dick, Scott
A2 - Kreinovich, Vladik
PB - Springer Science and Business Media Deutschland GmbH
T2 - Annual Conference of the North American Fuzzy Information Processing Society, NAFIPS 2021
Y2 - 7 June 2021 through 9 June 2021
ER -