Exploring Neutrosophic Linear Programming in Advanced Fuzzy Contexts

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 ExtendedFuzzy 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 trapezoidalneutrosophic 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 ofthese integrated methodologies for effectively presenting decision-making amidst complex and uncertain conditions.

Keywords

• fuzzy linear programming problems
• linear programming problems
• uncertainty principle
• membership function
• single valued trapezoidal neutrosophic numbers