@article{Liu2024, 
author = {Ning Liu and Zengtai Gong},
title = {Derivatives and indefinite integrals of single valued neutrosophic functions},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {1},
pages = {391-411},
keywords = {single-valued neutrosophic set, single-valued neutrosophic function, continuities, derivatives, differentials, indefinite integrals},
url = {https://www.sciopen.com/article/10.3934/math.2024022},
doi = {10.3934/math.2024022},
abstract = {With the continuous development of the fuzzy set theory, neutrosophic set theory can better solve uncertain, incomplete and inconsistent information. As a special subset of the neutrosophic set, the single-valued neutrosophic set has a significant advantage when the value expressing the degree of membership is a set of finite discrete numbers. Therefore, in this paper, we first discuss the change valuesof single-valued neutrosophic numbers when treating them as variables and classifying these change values with the help of basicoperations. Second, the convergence of sequences of single-valued neutrosophic numbers are proposed based on subtractionand division operations. Further, we depict the concept of single-valued neutrosophic functions (SVNF) andstudy in detail their derivatives and differentials. Finally, we develop the two kinds of indefinite integrals of SVNFand give the relevant examples.}
}