Application of Neutrosophic SuperHyperSoft Sets in MADM
Year: 2025
Type: article
Abstract: In this work, we introduce the concept of Neutrosophic SuperHyperSoft Sets (NSHSS) by considering a universe of discourse and disjoint attribute structures, and develop fundamental operations including addition, multiplication, scalar multiplication, and scalar exponentiation. A novel Neutrosophic SuperHyperSoft Weighted Aggregation (NSHSWA) operator is proposed, and a new entropy measure is defined to quantify uncertainty, with its theoretical properties validated. Building on this, we propose a Multi-Attribute Decision-Making (MADM) framework for selecting optimal mobile phones by combining NSHSS with entropy-based weighting. Five primary criteria- operational efficiency, power endurance, imaging capability, cost, and robustness are evaluated using power sets and neutrosophic modelling to capture uncertainty in user preferences. Subjective linguistic evaluations are mapped to neutrosophic values, and aggregated using the NSHSWA operator. Among 162 propositions constructed, the top alternatives are identified and ranked using a neutrosophic score function. The proposed methodology offers a comprehensive and reliable tool for guiding consumers toward selecting high quality mobile phones based on personalized needs, while providing a strong foundation for future uncertain information modelling and decision support.
Authors: Ramesh Ramasamy, Krishnaprakash Shanmugavel, Florentin Smarandache
Language: English
Topic: Fuzzy and Soft Set Theory
Field: Decision Sciences
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W6911921644
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