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Bipolar Neutrosophic Dombi Aggregation Operators With Application in Multi-Attribute Decision Making Problems

مشغلو تجميع دومبي نيوتروسوفيك ثنائي القطب مع التطبيق في مشاكل صنع القرار متعددة السمات
Authors: Muhammad Khalid Mahmood; Shouzhen Zeng; Muhammad Gulfam; Shahbaz Ali; Yun Jin;

Bipolar Neutrosophic Dombi Aggregation Operators With Application in Multi-Attribute Decision Making Problems

Abstract

Dans cet article, la norme t de Dombi (TN) et la norme t de Dombi (TCN) sont utilisées pour générer des règles de fonctionnement plus complexes, flexibles et réalisables en gérant un paramètre dans un environnement flou neutrosophique bipolaire (BNF). Nous introduisons la notion d'agrégation géométrique pondérée de Dombi neutrosophique bipolaire (BNDWGA) et d'opérateurs d'agrégation géométrique ordonnée de Dombi neutrosophique bipolaire (BNDOWGA). Nous discutons de leurs différentes propriétés ainsi que des preuves et étudions également les méthodes de prise de décision multi-attributs (MADM) sur la base des opérateurs d'agrégation proposés dans un environnement flou neutrosophique bipolaire (BNF). Nous proposons un algorithme de sélection de culture pour expliquer les méthodes proposées dans un environnement flou neutrosophique bipolaire (BNF). L'effet du paramètre sur nos opérateurs d'agrégation neutrosophique bipolaire proposés est discuté graphiquement. De plus, la comparaison de nos méthodes proposées avec les méthodes existantes pour tester leurs préférences appropriées est discutée en détail.

En este artículo, Dombi t-norm (TN) y Dombi t-conorm (TCN) se utilizan para generar reglas de operación más complejas, flexibles y factibles mediante la gestión de un parámetro en un entorno bipolar neutrosófico difuso (BNF). Introducimos la noción de operadores bipolares neutrosóficos de agregación geométrica ponderada de Dombi (BNDWGA) y operadores bipolares neutrosóficos de agregación geométrica ponderada ordenada de Dombi (BNDOWGA). Discutimos sus diferentes propiedades junto con pruebas y también investigamos métodos de toma de decisiones multiatributo (MADM) sobre la base de operadores de agregación propuestos en un entorno bipolar neutrosófico difuso (BNF). Proponemos un algoritmo de selección de cultivos para explicar los métodos propuestos en un entorno bipolar neutrosófico difuso (BNF). El efecto del parámetro en nuestros operadores bipolares propuestos de agregación neutrosófica de Dombi se discute gráficamente. Además, la comparación de nuestros métodos propuestos con los métodos existentes para probar sus preferencias adecuadas se discute en detalle.

In this paper, Dombi t-norm (TN) and Dombi t-conorm (TCN) are used to generate more complex, flexible and feasible operation rules by managing a parameter in bipolar neutrosophic fuzzy (BNF) environment.We introduce the notion of bipolar neutrosophic Dombi weighted geometric aggregation (BNDWGA) and bipolar neutrosophic Dombi ordered weighted geometric aggregation (BNDOWGA) operators.We discuss their different properties along with proofs and also investigate multi-attribute decision making (MADM) methods on basis of propose aggregation operators under bipolar neutrosophic fuzzy (BNF) environment.We propose an algorithm of selection of cultivating crop to explain the proposed methods under bipolar neutrosophic fuzzy (BNF) environment.The effect of parameter on our proposed bipolar neutrosophic Dombi aggregation operators are discussed graphically.Moreover, the comparison of our proposed methods with existing methods to test their suitable preferences are discussed in detail.

في هذه الورقة، يتم استخدام Dombi t - norm (TN) و Dombi t - norm (TCN) لتوليد قواعد تشغيل أكثر تعقيدًا ومرونة وقابلية للتطبيق من خلال إدارة معلمة في بيئة ضبابية نيوتروسوفيك ثنائية القطب (BNF). نقدم مفهوم التجميع الهندسي الموزون بالنيوتروسوفيك ثنائي القطب (BNDWGA) ومشغلي التجميع الهندسي الموزون بالنيوتروسوفيك ثنائي القطب (BNDOWGA). نناقش خصائصهم المختلفة جنبًا إلى جنب مع البراهين ونبحث أيضًا في طرق صنع القرار متعددة السمات (MADM) على أساس مشغلي التجميع المقترحين في بيئة ضبابية نيوتروسوفيك ثنائية القطب (BNF). علاوة على ذلك، نقترح خوارزمية اختيار زراعة المحاصيل لشرح الطرق المقترحة في بيئة الضبابية النيوتروسوفيك ثنائية القطب (BNF). يتم مناقشة تأثير المعلمة على مشغلي التجميع النيوتروسوفيك ثنائي القطبين المقترحين. علاوة على ذلك، تتم مناقشة المقارنة بين طرقنا المقترحة لطرق الاختبار الحالية لتفضيلاتها المناسبة بالتفصيل.

Keywords

Artificial intelligence, FOS: Political science, Mathematical proof, Norm (philosophy), Social Sciences, Geometry, Group Decision Making, FOS: Law, Multi-Criteria Decision Making, Management Science and Operations Research, Basis (linear algebra), Decision Sciences, Multi-Objective Transportation Problem Optimization, Bipolar neutrosophic set, Engineering, Selection (genetic algorithm), FOS: Mathematics, Political science, Mathematical optimization, decisionmaking environment, Computer science, TK1-9971, bipolar neutrosophic Dombi aggregation operator, Fuzzy logic, Control and Systems Engineering, Physical Sciences, Electrical engineering. Electronics. Nuclear engineering, Law, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
13
Top 10%
Average
Top 10%
gold