دورية أكاديمية
Complex Linear Diophantine Fuzzy Sets over AG-Groupoids with Applications in Civil Engineering
العنوان: | Complex Linear Diophantine Fuzzy Sets over AG-Groupoids with Applications in Civil Engineering |
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المؤلفون: | Hao Guan, Faisal Yousafzai, Muhammad Danish Zia, Murad-ul-Islam Khan, Muhammad Irfan, Kostaq Hila |
المصدر: | Symmetry, Vol 15, Iss 1, p 74 (2022) |
بيانات النشر: | MDPI AG, 2022. |
سنة النشر: | 2022 |
المجموعة: | LCC:Mathematics |
مصطلحات موضوعية: | complex linear Diophantine fuzzy set, CLDF-score left (right) ideals, CLDF-score (0,2)-ideals, Mathematics, QA1-939 |
الوصف: | Intuitionistic fuzzy sets (IFS), Pythagorean fuzzy sets (PFS), and q-rung orthopair fuzzy sets (q-ROFS) are among those concepts which are widely used in real-world applications. However, these theories have their own limitations in terms of membership and non-membership functions, as they cannot be obtained from the whole unit plane. To overcome these restrictions, we developed the concept of a complex linear Diophantine fuzzy set (CLDFS) by generalizing the notion of a linear Diophantine fuzzy set (LDFS). This concept can be applied to real-world decision-making problems involving complex uncertain information. The main motivation behind this paper is to study the applications of CLDFS in a non-associative algebraic structure (AG-groupoid), which has received less attention as compared to associative structures. We characterize a strongly regular AG-groupoid in terms of newly developed CLDF-score left (right) ideals and CLDF-score (0,2)-ideals. Finally, we construct a novel approach to decision-making problems based on the proposed CLDF-score ideals, and some practical examples from civil engineering are considered to demonstrate the flexibility and clarity of the initiated CLDF-score ideals. |
نوع الوثيقة: | article |
وصف الملف: | electronic resource |
اللغة: | English |
تدمد: | 15010074 2073-8994 |
Relation: | https://www.mdpi.com/2073-8994/15/1/74; https://doaj.org/toc/2073-8994 |
DOI: | 10.3390/sym15010074 |
URL الوصول: | https://doaj.org/article/8a7eed53dc8f440c8b16d175298f3157 |
رقم الأكسشن: | edsdoj.8a7eed53dc8f440c8b16d175298f3157 |
قاعدة البيانات: | Directory of Open Access Journals |
تدمد: | 15010074 20738994 |
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DOI: | 10.3390/sym15010074 |