Multiattribute decision-making by logarithmic operational laws in interval neutrosophic environments

Neutrosophic sets are the generalization of fuzzy sets and intuitionistic fuzzy sets to deal with incomplete, uncertain, and imprecise information in real-life problems. In this article, we have defined new logarithmic operational laws for interval neutrosophic numbers. Then, different algebraic properties of the proposed operational laws have been studied in details. Moreover, we have developed various desirable weighted averaging and weighted geometric aggregation operators which are eventually used to solve multiattribute decision-making problems. The multiattribute decision-making technique has been illustrated through a numerical example and the influence of logarithmic operator for interval neutrosophic numbers and the choice of logarithm base (δ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta$$\end{document}) is explained from a practical point of view. Finally, to demonstrate the proposed multiattribute decision-making technique, we performed a sensitivity analysis here over the attributes which give a fundamental effect in the research area. Finally, a comparative study is done to compare our method with the existing methods for its applicability and rationality.