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Two Identification Methods for a Nonlinear Membership Function
Author(s) -
Yuejiang Ji,
Lixin Lv
Publication year - 2021
Publication title -
complexity
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.447
H-Index - 61
eISSN - 1099-0526
pISSN - 1076-2787
DOI - 10.1155/2021/5515888
Subject(s) - nonlinear system , identification (biology) , function (biology) , mathematical optimization , mathematics , computer science , iterative method , algorithm , gradient method , botany , physics , quantum mechanics , evolutionary biology , biology
This paper proposes two parameter identification methods for a nonlinear membership function. An equation converted method is introduced to turn the nonlinear function into a concise model. Then a stochastic gradient algorithm and a gradient-based iterative algorithm are provided to estimate the unknown parameters of the nonlinear function. The numerical example shows that the proposed algorithms are effective.

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