Exploring Neutrosophic Linear Programming in Advanced  Fuzzy Contexts

Shubham Kumar Tripath; Arindam Dey; Said Broumi; Ranjan, Kumar

Authors

Shubham Kumar Tripath VIT-AP University, Inavolu, Beside AP Secretariat, Amaravati AP, India
Arindam Dey VIT-AP University, Inavolu, Beside AP Secretariat, Amaravati AP, India
Said Broumi
Ranjan, Kumar VIT-AP University, Inavolu, Beside AP Secretariat, Amaravati AP, India

Keywords:

Fuzzy Linear Programming problems; Linear Programming problems; Uncertainty principle; Mem bership function; Single valued trapezoidal neutrosophic numbers; NFMOLP- problems

Abstract

A neutrosophic set is a mathematical framework that extends fuzzy and intuitionistic sets to han
dle indeterminate or contradictory information using three components: truth, falsity, and indeterminacy
membership degrees which deal with handling indeterminate, imprecise, and uncertain data, while Extended
Fuzzy Theory extends the standard fuzzy set theory to manage more intricate membership degrees. The pri
mary objective of this review is to thoroughly investigate and summarize the existing literature on trapezoidal
neutrosophic environments, particularly focusing on aspects such as the NFMOLP Problems in SVTpN envi
ronments. Ultimately, this comprehensive review article aims to enhance the understanding of the potential of
these integrated methodologies for effectively presenting decision-making amidst complex and uncertain condi
tions

DOI: 10.5281/zenodo.10939251