Article
Version 1
Preserved in Portico This version is not peer-reviewed
On Extending Lr-Norm Based Derivatives to Intuitionistic Fuzzy Set
Version 1
: Received: 7 November 2023 / Approved: 8 November 2023 / Online: 8 November 2023 (04:49:07 CET)
A peer-reviewed article of this Preprint also exists.
Wungreiphi, A.S.; Mazarbhuiya, F.A.; Shenify, M. On Extended -Norm-Based Derivatives to Intuitionistic Fuzzy Sets. Mathematics 2024, 12, 139. Wungreiphi, A.S.; Mazarbhuiya, F.A.; Shenify, M. On Extended -Norm-Based Derivatives to Intuitionistic Fuzzy Sets. Mathematics 2024, 12, 139.
Abstract
Study of differential equation theory has come a long way with applications in the various fields. In 1961, Zygmund and Calderón introduced the notion of derivatives on metric Lr which proved to be better in applications than approximate derivatives. But most of the studies involved are on fuzzy set theory, so it seems likely that intuitionistic fuzzy Lr - norm - based derivatives deserve study. In the study, the fuzzy derivative is extended to intuitionistic fuzzy derivatives with respect.to Lr - norm - based derivatives using intuitionistic fuzzy number valued functions. The efficacy of the proposed method is established by proving the associated theorems along with numerical examples. Further, the Cauchy problem is also studied with respect to intuitionistic fuzzy setting.
Keywords
fuzzy set; intuitionistic fuzzy number; Hukuhara differentiable; generalized Hukuhara differentiable
Subject
Computer Science and Mathematics, Other
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment