Some Single-Valued Neutrosophic Uncertain Linguistic Maclaurin Symmetric Mean Operators and Their Application to Multiple-Attribute Decision Making

Abstract

The Maclaurin symmetric mean (MSM) operator has a good aggregation effect. It can capture the relationships between multiple input parameters, and the neutrosophic uncertain linguistic numbers can well represent some indeterminate and incomplete information. In this paper, we combine the MSM operator with the singled-valued neutrosophic uncertain linguistic set and propose some MSM operators based on single-valued neutrosophic uncertain linguistic environment, such as single-valued neutrosophic uncertain linguistic Maclaurin symmetric mean(SVNULMSM) operator and single-valued neutrosophic uncertain linguistic generalized Maclaurin symmetric mean(SVNULGMSM) operator. First of all, according to the neutrosophic set and uncertain linguistic numbers, we propose the single-valued neutrosophic uncertain linguistic numbers and give some operating rules. Furthermore, considering the influence of attribute weight on the results, we introduce the weighted SVNULMSM operator and weighted SVNULGMSM operator. Then, we propose a method to deal with MSDM problems and give the specific steps to solve the problem. Finally, an investment example is used to verify the effectiveness of our method, and the superiority of the method is proved by comparing with other methods.

Hamacher Operations for Complex Cubic q-Rung Orthopair Fuzzy Sets and Their Application to Multiple-Attribute Group Decision Making

“…Ali et al [50] proposed complex intuitionistic fuzzy Maclaurin symmetric mean operators and their applications for emergency program selection. Song et al [51] proposed some single-valued neutrosophic uncertain linguistic Maclaurin symmetric mean operators and their application to multiple-attribute decision making. Aliya et al [52] proposed Maclaurin symmetric mean aggregation operators based on cubic Pythagorean linguistic fuzzy number.…”

EDAS Method for Single‐Valued Neutrosophic Number Multiattribute Group Decision‐Making and Applications to Physical Education Teaching Quality Evaluation in Colleges and Universities

“…In the past, people used a single criterion to make decisions [7][8][9]. Complexity requires decision-making activities under multiple irreplaceable criteria, and the MADM problem emerges as the times require [10,11]. MADM has a wide applications in society, economy, enterprise, urban management, ecological environment, energy system engineering, transportation system, agricultural system engineering, education system, and military system engineering [12][13][14].…”