Fuzzy Least Squares Approximation Using Fuzzy Polynomial | Zendy

Liu Kun | Zendy; Xiaobin Guo | Zendy

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Fuzzy Least Squares Approximation Using Fuzzy Polynomial

Author(s) -

Liu Kun,

Xiaobin Guo

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/9979544

Subject(s) - mathematics , fuzzy logic , fuzzy number , polynomial , simple (philosophy) , property (philosophy) , least squares function approximation , defuzzification , fuzzy mathematics , mathematical optimization , fuzzy set operations , fuzzy set , computer science , artificial intelligence , mathematical analysis , statistics , philosophy , epistemology , estimator

In this paper, the fuzzy polynomial is introduced and applied to investigate the least squares approximation problem based on LR fuzzy numbers. A new and simple approach to solve the original problem is constructed by using approximate fuzzy polynomial. Two numerical examples are given to illustrate the proposed method. Since a large number of data exist as an uncertain property and need a function relation to reflect the laws between different variables, our results enrich fuzzy numerical approximation theory.

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