دورية أكاديمية
Introduction to plithogenic sociogram with preference representations by plithogenic number
| العنوان: | Introduction to plithogenic sociogram with preference representations by plithogenic number |
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| المؤلفون: | Nivetha Martin, Florentin Smarandache, R Priya |
| المصدر: | Journal of Fuzzy Extension and Applications, Vol 3, Iss 1, Pp 96-108 (2022) |
| بيانات النشر: | Ayandegan Institute of Higher Education,, 2022. |
| سنة النشر: | 2022 |
| المجموعة: | LCC:Mathematics |
| مصطلحات موضوعية: | plithogeny, plithogenic sociogram, attributes, preferences generalized plithogenic number, dominant attribute constrained plithogenic number, combined dominant attribute constrained plithogenic number, Mathematics, QA1-939 |
| الوصف: | The theory of Plithogeny is gaining momentum in recent times as it generalizes the concepts of fuzzy, intuitionistic, neutrosophy and other extended representations of fuzzy sets. The relativity of the comprehensive and accommodative nature of plithogenic sets in dealing with attributes shall be applied to handle the decision–making problems in the field of sociology. This paper introduces the concepts of Plithogenic Sociogram (PS) and Plithogenic Number (PN) where the former is the integration of plithogeny to the sociometric technique of sociogram and the latter is the generalization of fuzzy, intuitionistic and neutrosophic numbers that shall be used in representations of preferences in group dynamics. This research work outlines the conceptual development of these two newly proposed concepts and discusses the merits of the existing theory of similar kind with suitable substantiation. The plithogenic sociogram model encompassing the attributive preferences with plithogenic number representation is also developed to explicate how it can be materialized in the real social field. A conjectural illustration is put forth to analyze the efficiency and the feasibility of the proposed plithogenic sociogram model and its function in decision-making. This paper also throws light on generalized plithogenic number, dominant attribute constrained plithogenic number and combined dominant attribute constrained plithogenic number together with its operations and suitable illustrations. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 2783-1442 2717-3453 87530902 |
| Relation: | https://www.journal-fea.com/article_136845_a75fbf9639a72a9305216324a13561f8.pdf; https://doaj.org/toc/2783-1442; https://doaj.org/toc/2717-3453 |
| DOI: | 10.22105/jfea.2021.288057.1151 |
| URL الوصول: | https://doaj.org/article/92d393cd0b1345d48f8e0e8753090274 |
| رقم الأكسشن: | edsdoj.92d393cd0b1345d48f8e0e8753090274 |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 27831442 27173453 87530902 |
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| DOI: | 10.22105/jfea.2021.288057.1151 |