A Unification of Intuitionistic Fuzzy Calculus Theories Based on Subtraction Derivatives and Division Derivatives

Intuitionistic fuzzy calculus replaces real numbers in classical calculus with intuitionistic fuzzy numbers that are the basic elements of Atanassov's intuitionistic fuzzy sets. Intuitionistic fuzzy calculus consists of two parallel parts, which are respectively developed based on the subtracti...

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Bibliographic Details
Published in:IEEE transactions on fuzzy systems Vol. 25; no. 5; pp. 1023 - 1040
Main Authors: Lei, Qian, Xu, Zeshui
Format: Journal Article
Language:English
Published: IEEE 01.10.2017
Subjects:
Atanassov's intuitionistic fuzzy set (A-IFS)
Business
Calculus
Clustering algorithms
division derivative
Fuzzy sets
Indexes
intuitionistic fuzzy calculus
intuitionistic fuzzy function (IFF)
intuitionistic fuzzy number (IFNs)
Programmable logic arrays
subtraction derivative
Uncertainty
ISSN:1063-6706, 1941-0034
Online Access:Get full text
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Summary:Intuitionistic fuzzy calculus replaces real numbers in classical calculus with intuitionistic fuzzy numbers that are the basic elements of Atanassov's intuitionistic fuzzy sets. Intuitionistic fuzzy calculus consists of two parallel parts, which are respectively developed based on the subtraction derivatives and the division derivatives. This paper focuses on building the relationships between the two independent intuitionistic fuzzy calculus theories, and unifying them into a whole theory.
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2016.2593498