International Journal of Computational Intelligence Systems

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Volume 14, Issue 1, 2021, Pages 282 - 294

Differential Calculus of Fermatean Fuzzy Functions: Continuities, Derivatives, and Differentials

Authors
Zaoli Yang1, Harish Garg2, *, ORCID, Xin Li1, ORCID
1College of Economics and Management, Beijing University of Technology, Beijing, China
2School of Mathematics, Thapar Institute of Engineering and Technology, Deemed University, Punjab, India
*Corresponding author. Email: harishg58iitr@gmail.com
Corresponding Author
Harish Garg
Received 19 October 2020, Accepted 7 December 2020, Available Online 22 December 2020.
DOI
10.2991/ijcis.d.201215.001How to use a DOI?
Keywords
Fermatean fuzzy sets; Continuities; Derivatives; Differentials; Calculus
Abstract

Fermatean fuzzy sets are an effective way to handle uncertainty and vagueness by expanding the spatial scope of membership and nonmembership of the intuitionistic fuzzy set and the Pythagorean fuzzy set. However, existing studies only analyzed the discrete information and neglected the continuous state of Fermatean fuzzy sets. In this paper, we investigated the properties of continuous Fermatean fuzzy information by firstly proposing Fermatean fuzzy functions, then defining the subtraction and division operations of Fermatean fuzzy functions and discussing their properties. Further, we examined the continuity, derivatives, and differentials of Fermatean fuzzy functions. Effective approximate calculations regarding nonlinear problems in the Fermatean fuzzy environment were provided, and some examples were presented to verify the feasibility and effectiveness of approximate calculations using the Fermatean fuzzy functions.

Copyright
© 2021 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
14 - 1
Pages
282 - 294
Publication Date
2020/12/22
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.d.201215.001How to use a DOI?
Copyright
© 2021 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Zaoli Yang
AU  - Harish Garg
AU  - Xin Li
PY  - 2020
DA  - 2020/12/22
TI  - Differential Calculus of Fermatean Fuzzy Functions: Continuities, Derivatives, and Differentials
JO  - International Journal of Computational Intelligence Systems
SP  - 282
EP  - 294
VL  - 14
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.201215.001
DO  - 10.2991/ijcis.d.201215.001
ID  - Yang2020
ER  -