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Fuzzy distance discrimination method based on joint fuzzy extension principle

A discriminant method and fuzzy technology, which can be used in complex mathematical operations and other directions, and can solve the problem of less research work on fuzzy discriminant analysis.

Active Publication Date: 2018-11-30
LIAONING TECHNICAL UNIVERSITY
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  • Claims
  • Application Information

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Problems solved by technology

Due to the ergodic problem in the calculation of fuzzy numbers, there are great limitations in fuzzy discriminant analysis, so there are few researches on fuzzy discriminant analysis at home and abroad.

Method used

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  • Fuzzy distance discrimination method based on joint fuzzy extension principle
  • Fuzzy distance discrimination method based on joint fuzzy extension principle
  • Fuzzy distance discrimination method based on joint fuzzy extension principle

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Embodiment Construction

[0064] The specific embodiments of the present invention will be described in further detail below with reference to the accompanying drawings and embodiments. The following examples are intended to illustrate the present invention, but not to limit the scope of the present invention.

[0065] In this embodiment, the records of a tea shop are taken as an example, and a fuzzy distance discrimination method based on the principle of joint fuzzy expansion of the present invention is used to discriminate and classify the tea leaves to be discriminated.

[0066] A fuzzy distance discrimination method based on the principle of joint fuzzy expansion, such as figure 1 shown, including the following steps:

[0067] Step 1. From two sample populations G 1 and G 2 extract n from 1 and n 2 samples, each sample measures p indicators, and each indicator is fuzzy data;

[0068] The two sample populations G 1 ,G 2 As shown in the following two formulas:

[0069]

[0070]

[007...

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Abstract

The invention provides a fuzzy distance discrimination method based on the joint fuzzy extension principle and relates to the technical field of fuzzy discrimination. The method includes: sampling twosample populations, measuring p indexes of each sample, and expressing the measured fuzzy number of each index of the samples as the linear form of structural element E; solving the fuzzy distance between a to-be-measured sample and the two sample populations and the fuzzy covariance matrix and kernel matrix of each sample, judging the relation among the kernel matrixes, and solving fuzzy distance difference and discrimination function thereof; setting fuzzy discrimination criteria according to the discrimination function, and using the fuzzy discrimination criteria to perform fuzzy discrimination classification on the to-be-measured sample. The fuzzy distance discrimination method has the advantages that classical statistical extension is used in fuzzy statistics, the structural elementexpressing method of the fuzzy number is used, the finite operation difficulty during calculation is solved, experiment errors are reduced greatly, and accurate experiment results are achieved.

Description

technical field [0001] The invention relates to the technical field of fuzzy discrimination, in particular to a fuzzy distance discrimination method based on the principle of joint fuzzy expansion. Background technique [0002] Statistical analysis is an important tool to analyze, process and solve the characteristics, laws and relationships of things in the field of natural and social sciences based on observational data. With the continuous development of information science and technology, statistical analysis methods and basic principles are increasingly used in In the field of data mining, its application background is getting wider and wider. However, in many practical problems, due to the diversity and heterogeneity of data sources, the difficulty or inaccuracy of information measurement, etc., it is meaningless to express data accurately. In addition, strictly speaking, any statistical sample is obtained through corresponding investigation or observation. Therefore,...

Claims

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Application Information

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IPC IPC(8): G06F17/18
CPCG06F17/18
Inventor 郭嗣琮赵小倩
Owner LIAONING TECHNICAL UNIVERSITY