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Foundation of Interval-Valued Intuitionistic Fuzzy Limit and Differential Theory and an Application to Continuous Data
Joint Authors
Xu, Zeshui
Ai, Zhenghai
Shu, Xiaoqin
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-10-27
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The intuitionistic fuzzy calculus (IFC), based on the basic operational laws of intuitionistic fuzzy numbers (IFNs), has been put forward.
However, the interval-valued IFC (IVIFC), based on the basic operational laws of interval-valued IFNs (IVIFNs), is only in the original stage.
To further develop the theory of the IVIFC and make it be rigorous, the primary task is to systematically investigate the characteristics of the limits and differentials, which is a foundation of the IVIFC.
Moreover, there is quite a lot of literature on IVIFNs; however, the scholars did not reveal the relationships between IFNs and the IVIFNs.
To do that, we first investigate the limit of interval-valued intuitionistic fuzzy sequences, and then, we focus on investigating the limit, the continuity, and the differential of IVIFFs in detail and reveal their relationships.
After that, due to the fact that the IFC and the IVIFC are based on the basic operational laws of IFNs and IVIFNs, respectively, we reveal the relationships between the IFNs and the IVIFNs via some homomorphic mappings.
Finally, a case study about continuous data of IVIFNs is provided to illustrate the advantages of continuous data.
American Psychological Association (APA)
Ai, Zhenghai& Shu, Xiaoqin& Xu, Zeshui. 2019. Foundation of Interval-Valued Intuitionistic Fuzzy Limit and Differential Theory and an Application to Continuous Data. Complexity،Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1131635
Modern Language Association (MLA)
Ai, Zhenghai…[et al.]. Foundation of Interval-Valued Intuitionistic Fuzzy Limit and Differential Theory and an Application to Continuous Data. Complexity No. 2019 (2019), pp.1-14.
https://search.emarefa.net/detail/BIM-1131635
American Medical Association (AMA)
Ai, Zhenghai& Shu, Xiaoqin& Xu, Zeshui. Foundation of Interval-Valued Intuitionistic Fuzzy Limit and Differential Theory and an Application to Continuous Data. Complexity. 2019. Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1131635
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1131635