Structured Neutrosophic Sets with Entropy-Derived Indeterminacy: Injectivity, Stability, and Aggregation Guarantees for Variability-Sensitive MCDM
Year: 2026
Type: article
Abstract: In neutrosophic multi-criteria decision-making, indeterminacy has been universally encoded as a scalar valuea design choice that systematically suppresses distributional information and undermines ranking reliability.This paper shows that this scalar encoding leads to three different pathologies in the structure: many-to-one representational collapse, ranking instability when the ___________________________________________________________________________ D. Janak Raj Amit Kumar, Dr. I. Paulraj Jayasimman.Structured Neutrosophic Sets with Entropy-Derived Indeterminacy: Injectivity, Stability, and Aggregation Guarantees for Variability-Sensitive MCDM formally -many-to-one collapse; (iii) score function monotonicity preserving preference order;(iv) an explicit Lipschitz perturbation stability bound.Structure-aware aggregation operators include witnesses of idempotency, commutativity, and boundary preservation.Empirical results, using two real educational datasets and three controlled benchmarks, compared to five competing neutrosophic methods, are obtained with a mean discrimination gain of 34.7% above the mean discrimination gain of the standard SVNS in all cases, compared to the expert-validated ground truth.
Language: English
Field: Decision Sciences
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W7203545809