Neutrosophic interval-valued anti fuzzy linear space

被引：0

作者：

Sivaramakrishnan S. ^{[1
]}

Vijayabalaji S. ^{[2
]}

Balaji P. ^{[3
]}

机构：

[1] Department of Mathematics, Manakula Vinayagar Institute of Technology, Kalitheerthal Kuppam, Puducherry

[2] Department of Mathematics (S & H), University College of Engineering Panruti, A Constituent College of Anna University Chennai, Tamil Nadu, Panruti

[3] Department of Mathematics, MEASI Academy of Architecture, Royapettah, Tamil Nadu, Chennai

来源：

Neutrosophic Sets and Systems | 2024年 / 63卷

关键词：

Anti fuzzy linear space; Fuzzy linear space; Neutrosophic fuzzy set; Neutrosophic interval-valued anti fuzzy linear space;

D O I：

10.5281/zenodo.10531827

中图分类号：

学科分类号：

摘要：

In this research paper, we have introduced the concept of Neutrosophic interval-valued anti fuzzy linear space (NIVAFLS) and have also examined its various distinct characteristics. A counter example has demonstrated that the intersection of two Neutrosophic interval-valued anti fuzzy linear spaces (NIVAFLSs) does not possess the capability to be a Neutrosophic interval-valued anti fuzzy linear space (NIVAFLS). Conversely, the union of two Neutrosophic interval-valued anti fuzzy linear spaces (NIVAFLSs) does form a Neutrosophic interval-valued anti fuzzy linear space (NIVAFLS). Additionally, we have defined and provided an explanation for the cartesian product of two (NIVAFLSs). Furthermore, we have performed a study on the homomorphic image and inverse image of Neutrosophic Anti-Fuzzy Linear Space (NIVAFLS), along with investigating some related properties. © (2024) All Rights Reserved.

引用

页码：271 / 284

页数：13

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