A Neutrosophic Algebraic Framework for Evaluating the  Effectiveness of Highway Asphalt Pavement Maintenance

Haocheng Xiong; Haowen Zheng

Authors

Haocheng Xiong School of Civil and Resources Engineering, University of Science and Technology Beijing, Beijing, 100083, China
Haowen Zheng School of Civil and Resources Engineering, University of Science and Technology Beijing, Beijing, 100083, China

Keywords:

Neutrosophic logic; Fermatean Quadripartitioned Sets; Subtraction Algebra; Pavement Maintenance; Highway Infrastructure; Obfuscated Neutrosophic Structures; Maintenance Effectiveness Index.

Abstract

This paper presents a novel mathematical model for evaluating the
effectiveness of highway asphalt pavement maintenance using Fermatean
Quadripartitioned Neutrosophic Structures (FQNS). Traditional methods often
struggle with uncertain, contradictory, and incomplete data, especially in complex
engineering environments like pavement performance monitoring. We propose a
new concept called Obfuscated Fermatean Neutrosophic Substructures (OFNS),
which captures pavement sections that appear to meet maintenance effectiveness
criteria but violate key algebraic closure properties. By modeling each road section
using four neutrosophic membership degrees truth, contradiction, uncertainty,
and falsity, we construct an algebraic structure over subtraction operations. We
then define a new index, the Maintenance Effectiveness Index (MEI), to classify
pavement outcomes more accurately. A practical scenario is discussed to
demonstrate the potential of the model to detect misleading or hidden failures in
highway maintenance, providing a more intelligent and mathematically rigorous
evaluation method.

DOI: 10.5281/zenodo.16389562