Pythagorean Fuzzy Numbers Descriptor Systems

Chuan-qiang Fan; Wei-he Xie; Feng Liu

Pythagorean Fuzzy Numbers Descriptor Systems

Chuan-qiang Fan * §

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Wei-he Xie

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Feng Liu

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§ Liaoning Shihua University

Pythagorean Fuzzy Numbers Descriptor Systems

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Abstract

By using pythagorean fuzzy sets and T-S fuzzy descriptor systems, the new (α, β)pythagorean fuzzy descriptor systems are proposed in this paper. Their definition is given firstly, and the stability of this kind of systems is studied, the relation of (α, β)-pythagorean fuzzy descriptor systems and T-S fuzzy descriptor systems is discussed. The (α, β)-pythagorean fuzzy controller and the stability of (α, β)-pythagorean fuzzy descriptor systems are deeply researched. The (α, β)-pythagorean fuzzy descriptor systems can be better used to solve the problems of actual nonlinear control. The (α, β)-pythagorean fuzzy descriptor systems will be a new research direction, and will become a universal method to solve practical problems. Finally, an example is given to illustrate effectiveness of the proposed method.

References

13 Cites in Article

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Chuan-qiang Fan, Wei-he Xie, Feng Liu. 2020. "Pythagorean Fuzzy Numbers Descriptor Systems". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 20 (GJSFR Volume 20 Issue F1).

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GJSFR Volume 20 Issue F1

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-F Classification MSC 2010: 12D15

03B52

Submission ReceivedNovember 24, 2019
Peer Review Double Blind
Handling Editor
Accepted December 24, 2019
Published January 4, 2020

Version of record

v1.2

Issue date

February 18, 2020

Language

English

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