Sustainability analysis in agriculture using Linguistic Pythagorean Neutrosophic number through Einstein aggregation operators

Authors

  • S. Annadurai Department of Mathematics, St. Joseph's College of Engineering, India.
  • R. Sundareswaran Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, India
  • M. Shanmugapriya Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, India
  • M. Mohanalakshmi Department of Chemical Engineering, Sri Sivasubramaniya Nadar College of Engineering, India.

Keywords:

Linguistic Pythagorean Neutrosophic set; LPN Einstein Weighted Average Operator, LPN Einstein Order Weighted Average Operator, Multi-Criteria Decision Making

Abstract

The Linguistic Pythagorean Neutrosophic (LPN) set is a powerful framework for handling 
uncertainty in assessments by integrating linguistic variables with Pythagorean Neutrosophic 
numbers (PNNs). In this study, we define new fundamental operations on Linguistic Pythagorean 
Neutrosophic Numbers (LPNNs) based on Einstein operations and examine their interrelationships.
To address the challenges of LPNN fusion, we propose several LPN aggregation operators, namely
the LPN Einstein Weighted Averaging (LPNEWA), and LPN Einstein Order Weighted Averaging 
(LPNEOWG) operators, and investigate their key characteristics. To demonstrate the proposed 
methodology’s usefulness, we present an illustrative case study in sustainability agriculture. This 
case study highlights the practicality and effectiveness of the proposed decision-making model.

 

DOI 10.5281/zenodo.17335151

Downloads

Download data is not yet available.

Downloads

Published

2025-12-25

Issue

Vol. 94 (2025): Neutrosophic Sets and Systems

Section

Article

License

Copyright (c) 2025 Neutrosophic Sets and Systems

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

S. Annadurai, R. Sundareswaran, M. Shanmugapriya, & M. Mohanalakshmi. (2025). Sustainability analysis in agriculture using Linguistic Pythagorean Neutrosophic number through Einstein aggregation operators. Neutrosophic Sets and Systems, 94, 12-31. https://fs.unm.edu/nss8/index.php/111/article/view/7134

Most read articles by the same author(s)