US 11,941,545 B2
Systems and methods for generating a boundary of a footprint of uncertainty for an interval type-2 membership function based on a transformation of another boundary
Md Rajibul Huq, Shrewsbury, MA (US); and Alec Stothert, Hopkinton, MA (US)
Assigned to The MathWorks, Inc., Natick, MA (US)
Filed by The MathWorks, Inc., Natick, MA (US)
Filed on Dec. 17, 2019, as Appl. No. 16/717,108.
Prior Publication US 2021/0182715 A1, Jun. 17, 2021
Int. Cl. G06N 5/04 (2023.01); G06N 5/048 (2023.01); G06N 7/02 (2006.01)
CPC G06N 5/048 (2013.01) [G06N 7/02 (2013.01); G06N 7/023 (2013.01)] 26 Claims
OG exemplary drawing
 
1. A system, comprising:
a processor coupled to a memory, the processor configured to:
receive a plurality of first parameters for a first type-1 membership function (MF) that defines a first boundary of a footprint of uncertainty for an interval type-2 MF, wherein the interval type-2 MF is utilized by a fuzzy inference system that is executable in a computing environment, the fuzzy inference system included in an executable model where execution of the executable model executes the fuzzy inference system and generates results;
receive at least one second parameter, wherein the at least one second parameter is utilized to transform the first type-1 MF that defines the first boundary of the footprint of uncertainty for the interval type-2 MF;
generate, based on a transformation of the first type-1 MF utilizing the at least one second parameter, a second type-1 MF,
wherein the second type-1 MF defines a second boundary of the footprint of uncertainty for the interval type-2 MF, and
wherein the first type-1 MF and the second type-1 MF have a geometrical relationship relative to each other; and
adjust, after the transforming, the plurality of first parameters of the first type-1 MF and the at least one second parameter to adjust the footprint of uncertainty of the fuzzy inference system included in the executable model, wherein the adjusting is performed without needing to consider the geometrical relationship and the adjusting automatically maintains the geometrical relationship between the first and second boundaries, and wherein the footprint of uncertainty is defined by a total number of parameters that is equal to the plurality of first parameters and the at least one second parameter.