A Study on Subsequent Expansions of the Operators , Algebraic Sum, and Geometric Product over IVTNFSS

 

K. Rajesh1, Nasreen kausar2, M. Kaviyarasu3, Behzad Omidi Koma4,*

1Department of Mathematics, Pachaiyappa’s College for Men, Kanchipuram, and Tamil Nadu – 631 501, India

2Department of Mathematics, Faculty of Arts and Science, Balikesir University, 10145 Balikesir, Turkey,

3Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Avad-600 062, Chennai, India

4College of Engineering, American University of the Middle East, Kuwait

Emails: rajeshagm@gmail.com; nasreen.kausar@balikesir.edu.tr; drkaviyarasum@veltech.edu.in; behzad.omidi@aum.edu.kw

 

 

Abstract

In this work, subsequent expansions of the operators , algebraic sum and geometric product over IVTNFs. The first of  is called the shrinking operator and the second, which is an extension of the first, is called  - shrink operator. The membership values & the values of non-membership be not completion our for all time possible, although in the branch of IVTNFS, it plays an additional significant character at this time, since the interval valued temporal neutrosophic fuzzy sets provides the best solution for finding the shortest distance in deciding one's career, judgment making and image processing and many more areas. Especially in medical diagnosis, when using this concept, there is a real chance that there will be a non-zero fraction of hesitation at any point in the assessment.

 

Keywords: Interval valued intuitionistic fuzzy sets; Neutrosophic sets; Interval neutrosophic fuzzy sets; Fuzzy sets