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Mathematics
Volume 12
Issue 19
10.3390/math12193095
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This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

Introducing the Third-Order Fuzzy Superordination Concept and Related Results

by
Georgia Irina Oros
1,
Simona Dzitac
2 and
Daniela Andrada Bardac-Vlada
3,*
1
Department of Mathematics and Computer Science, Faculty of Informatics and Sciences, University of Oradea, 410087 Oradea, Romania
2
Department of Energy Engineering, Faculty of Energy Engineering and Industrial Management, University of Oradea, Universitatii 1, 410087 Oradea, Romania
3
Doctoral School of Engineering Sciences, University of Oradea, 410087 Oradea, Romania
*
Author to whom correspondence should be addressed.
Mathematics 2024, 12(19), 3095; https://doi.org/10.3390/math12193095
Submission received: 29 August 2024 / Revised: 30 September 2024 / Accepted: 1 October 2024 / Published: 2 October 2024
(This article belongs to the Special Issue Advanced Research in Complex Analysis Operators and Special Classes of Analytic Functions)
Versions Notes

Abstract

Third-order fuzzy differential subordination studies were recently initiated by developing the main concepts necessary for obtaining new results on this topic. The present paper introduces the dual concept of third-order fuzzy differential superordination by building on the known results that are valid for second-order fuzzy differential superordination. The outcome of this study offers necessary and sufficient conditions for determining subordinants of a third-order fuzzy differential superordination and, furthermore, for finding the best subordinant for such fuzzy differential superordiantion, when it can be obtained. An example to suggest further uses of the new outcome reported in this work is enclosed to conclude this study.
Keywords: fuzzy set; third-order fuzzy differential subordination; third-order fuzzy differential superordination; fuzzy subordinant; best fuzzy subordinant fuzzy set; third-order fuzzy differential subordination; third-order fuzzy differential superordination; fuzzy subordinant; best fuzzy subordinant

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MDPI and ACS Style

Oros, G.I.; Dzitac, S.; Bardac-Vlada, D.A. Introducing the Third-Order Fuzzy Superordination Concept and Related Results. Mathematics 2024, 12, 3095. https://doi.org/10.3390/math12193095

AMA Style

Oros GI, Dzitac S, Bardac-Vlada DA. Introducing the Third-Order Fuzzy Superordination Concept and Related Results. Mathematics. 2024; 12(19):3095. https://doi.org/10.3390/math12193095

Chicago/Turabian Style

Oros, Georgia Irina, Simona Dzitac, and Daniela Andrada Bardac-Vlada. 2024. "Introducing the Third-Order Fuzzy Superordination Concept and Related Results" Mathematics 12, no. 19: 3095. https://doi.org/10.3390/math12193095

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