Pythagorean Fuzzy Numbers Descriptor Systems

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Chuan-qiang Fan
Chuan-qiang Fan
σ
Wei-he Xie
Wei-he Xie
ρ
Feng Liu
Feng Liu
α Liaoning Shihua University

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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
  1. Yager R R,A Abbasov (2013). Pythagorean membership grades, complex numbers, and decision making.
  2. Ronald Yager (2014). Pythagorean Membership Grades in Multicriteria Decision Making.
  3. H Grag (2016). A new generalized pythagorean fuzzy information aggregation using einstein operations and its applicaion to decision making.
  4. Guiwu Wei (2017). RETRACTED: Pythagorean fuzzy interaction aggregation operators and their application to multiple attribute decision making.
  5. Kazuo Tanaka,Michio Sugeno (1992). Stability analysis and design of fuzzy control systems.
  6. M Sugeno,G Kang (1988). Fuzzy modelling and control of multilayer incinerator.
  7. T Taniguchi,K Tanaka,K Yanafuji,H O Wang (1999). Fuzzy descriptor systems: stability analysis and design via LMIs.
  8. T Taniguchi,K Tanaka,H O Wang (2000). Fuzzy descriptor systems and nonlinear model following control.
  9. L Zadeh (1975). The concept of a linguistic variable and its application to approximate reasoning—I.
  10. L Sheng,Ma X Y (2014). Stability analysis and controller design of discrete interval type-2 fuzzy systems.
  11. K Atanassov,G Gargov (1989). Interval valued intuitionistic fuzzy sets.
  12. Krassimir Atanassov (1994). Operators over interval valued intuitionistic fuzzy sets.
  13. Liu Feng,Yuan Xue-Hai (2007). Fuzzy number intuitionistic fuzzy set.

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. 2020. \u201cPythagorean Fuzzy Numbers Descriptor Systems\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 20 (GJSFR Volume 20 Issue F1): .

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Issue Cover
GJSFR Volume 20 Issue F1
Pg. 23- 35
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification: MSC 2010: 12D15, 03B52
Version of record

v1.2

Issue date

February 18, 2020

Language
en
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Published Article

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.

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Pythagorean Fuzzy Numbers Descriptor Systems

Chuan-qiang Fan
Chuan-qiang Fan Liaoning Shihua University
Wei-he Xie
Wei-he Xie
Feng Liu
Feng Liu

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