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Complex Linear Diophantine Fuzzy Sets over AG-Groupoids with Applications in Civil Engineering

التفاصيل البيبلوغرافية
العنوان: Complex Linear Diophantine Fuzzy Sets over AG-Groupoids with Applications in Civil Engineering
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
الوصف
تدمد:15010074
20738994
DOI:10.3390/sym15010074