Indeterminacy-Balanced Evidence Granulation for Ecotoxicological
Prioritization under Single-Valued Neutrosophic Assessments
Arwa Hajjari1,*
1Cairo University, Cairo, Egypt
Email: Hajjarint8843@gmail.com
Abstract
Decision environments that combine laboratory indicators, expert warnings, chemical descriptors, and regulatory traces rarely produce a
single consistent description of risk. Classical aggregation rules usually collapse incomplete, contradictory, and partially reliable evidence
into one scalar before the contradiction itself has been modelled. This paper develops an indeterminacy-balanced neutrosophic granulation
method for prioritization problems in which truth, falsity, and hesitation must remain simultaneously visible during fusion. Each alternative
is represented by a single-valued neutrosophic profile, criterion weights are obtained from a contrast-sensitive entropy functional, and
the final ranking is produced by an indeterminacy-penalized evidence score. The mathematical contribution is a bounded fusion operator
that separates positive support, negative pressure, and contradiction-induced hesitation. A numerical study reports detailed intermediate
matrices, criterion weights, fused memberships, ranking stability, sensitivity to the indeterminacy penalty, ablation results, and computational
complexity. The findings show that retaining indeterminacy during fusion changes the ordering of borderline alternatives and makes
the decision trace easier to audit than scalar aggregation alone.
Keywords: Neutrosophic set; Single-valued neutrosophic set; Information fusion; Indeterminacy; Contradiction; Aggregation operator;
Decision support; MCDM