Neutrosophic Rings for Modeling and Optimizing Cross-Border E-Commerce Digital Marketing Campaigns
This paper presents a new symbolic mathematical structure called the Neutrosophic Evaluation Ring (NER) for assessing the effectiveness of digital marketing in cross-border e-commerce environments. The model is built upon a neutrosophic triplet system, where each marketing campaign is represented by...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2025-07-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | https://fs.unm.edu/NSS/34NeutrosophicRings.pdf |
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| Summary: | This paper presents a new symbolic mathematical structure called the Neutrosophic Evaluation Ring (NER) for assessing the effectiveness of digital marketing in cross-border e-commerce environments. The model is built upon a neutrosophic triplet system, where each marketing campaign is represented by a three-component element that reflects degrees of persuasiveness, uncertainty, and rejection. These components interact under custom-defined binary operations that satisfy the axioms of a commutative ring with neutrosophic characteristics. By introducing specialized addition and multiplication operations within this ring, the model captures the real-world behaviors of marketing messages as they are perceived differently across cultural and linguistic boundaries. The ring structure enables logical manipulation of marketing states while preserving the interactions between clarity, ambiguity, and opposition. The paper establishes the mathematical foundation of the proposed ring, proves its key properties, and provides full numerical examples that illustrate its utility. A detailed case study simulates marketing performance across three international markets, demonstrating how the ring framework can detect unstable regions in campaign strategies and reveal hidden layers of customer interpretation. The proposed model offers a rigorous and adaptive way to evaluate digital campaigns under the complex, uncertain conditions of global ecommerce. |
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| ISSN: | 2331-6055 2331-608X |