The Neutro-Stability Analysis of Neutrosophic Cubic Sets with Application in Decision Making Problems

Joint Authors

Al Shumrani, Mohammed A.
Gulistan, Muhammad
Khan, Salma

Source

Journal of Mathematics

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-16, 16 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-12-01

Country of Publication

Egypt

No. of Pages

16

Main Subjects

Mathematics

Abstract EN

The neutrosophic cubic sets (NCSs) attained attraction of many researchers in the current time, so the need to discuss and study their stability was felt.

Thus, in this article, we discuss the three types of stability of NCSs such as truth-stability, indeterminacy-stability, and falsity-stability.

We define the left (resp., right) truth-left evaluative set, left (resp., right) indeterminacy-evaluative set, and left (resp., right) falsity-evaluative set.

A new notion of stable NCSs, partially stable NCSs, and unstable NCSs is defined.

We observe that every NCS needs not to be a stable NCS but each stable NCS must be an NCS, i.e., every internal NCS is a stable NCS but an external NCS may or may not be a stable NCS.

We also discuss some conditions under which the left and right evaluative points of an external NCS becomes a neutrosophic bipolar fuzz set.

We have provided the condition under which an external NCS becomes stable.

Moreover, we discuss the truth-stable degree, indeterminacy-stable degree, and falsity-stable degree of NCSs.

We have also defined an almost truth-stable set, almost indeterminacy-stable set, almost falsity-stable set, almost partially stable set, and almost stable set with examples.

Application of stable NCSs is given with a numerical example at the end.

American Psychological Association (APA)

Al Shumrani, Mohammed A.& Gulistan, Muhammad& Khan, Salma. 2020. The Neutro-Stability Analysis of Neutrosophic Cubic Sets with Application in Decision Making Problems. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1188230

Modern Language Association (MLA)

Al Shumrani, Mohammed A.…[et al.]. The Neutro-Stability Analysis of Neutrosophic Cubic Sets with Application in Decision Making Problems. Journal of Mathematics No. 2020 (2020), pp.1-16.
https://search.emarefa.net/detail/BIM-1188230

American Medical Association (AMA)

Al Shumrani, Mohammed A.& Gulistan, Muhammad& Khan, Salma. The Neutro-Stability Analysis of Neutrosophic Cubic Sets with Application in Decision Making Problems. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1188230

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1188230