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