A Neutrosophic Mathematical Model for Evaluating Innovation Modes in Higher Arts Education

Authors

  • Lechen Dong School of Arts, Shandong University, Jinan, Shandong, 250001, China
  • Yao Wu School of Visual Communication Design, Shandong University of Art & Design, Jinan, Shandong, 250001, China
  • Hao Chen Alibaba Cloud Computing Co. Ltd，Jinan, Shandong, 250001, China

Keywords:

Neutrosophic measure; arts education; innovation modeling; indeterminacy; mathematical evaluation; neutrosophic probability; hybrid art modes

Abstract

 Innovation in higher arts education is often difficult to measure. Traditional 
models cannot fully describe hybrid, uncertain, or controversial artistic practices. This 
paper presents a new mathematical model based on neutrosophic theory to evaluate 
different types of innovation in arts education. The model uses three parts: the accepted 
part of innovation, the uncertain part, and the opposing or resisted part. Each type of 
innovation is measured as a triplet using a neutrosophic measure. The model also includes 
a neutrosophic integral to evaluate innovation over time. A sample case study with fully 
calculated values is provided to show how the model works. This framework gives 
educators and researchers a new way to understand and improve innovation in artistic 
teaching and practice. 

 

DOI: 10.5281/zenodo.16734068

Downloads

Download data is not yet available.

Downloads

Published

2025-12-01

Issue

Vol. 91 (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

Lechen Dong, Yao Wu, & Hao Chen. (2025). A Neutrosophic Mathematical Model for Evaluating Innovation Modes in Higher Arts Education. Neutrosophic Sets and Systems, 91, 60-68. https://fs.unm.edu/nss8/index.php/111/article/view/6947