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The Neutrosophic Exponential Distribution

التوزيع الأسي النيتروسوفيكي

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 Publication date 2018
and research's language is العربية
 Created by Shamra Editor




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We present in this paper the neutrosophic exponential distribution, which is an extension of the classical exponential distribution according to the neutrosophic logic (a new non-classical logic which was founded by the American philosopher and mathematical Florentin Smarandache, which he introduced as a generalization of fuzzy logic especially the intuitionistic fuzzy logic), so that it can handle all the data that it is not precisely defined.


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Research summary
يقدم هذا البحث توزيعًا جديدًا يسمى التوزيع الأسي النيتروسوفيكي، وهو امتداد للتوزيع الأسي الكلاسيكي باستخدام منطق النيتروسوفيك. منطق النيتروسوفيك هو منطق غير كلاسيكي أسسه الفيلسوف والرياضي فلورنتن سمارانداكه، ويهدف إلى التعامل مع البيانات غير المحددة بدقة. يوضح البحث أن وجود اللاتحديد في البيانات يؤثر على قيمة الاحتمال النهائي، وبالتالي لا يمكن تجاهل هذه القيم للحصول على نتائج دقيقة. يتناول البحث تعريف التوزيع الأسي النيتروسوفيكي وخصائصه، ويقدم أمثلة عملية لتوضيح كيفية تطبيقه. كما يسلط الضوء على أهمية هذا التوزيع في مختلف المجالات مثل الطب والفيزياء ونظم المعلومات، ويشجع الباحثين على استخدام منطق النيتروسوفيك في دراساتهم لتحقيق نتائج أكثر دقة وواقعية.
Critical review
دراسة نقدية: يعد البحث خطوة مهمة نحو توسيع نطاق استخدام التوزيعات الاحتمالية لتشمل البيانات غير المحددة بدقة، وهو ما يعكس تطورًا هامًا في مجال الإحصاء الرياضي. ومع ذلك، قد يكون من المفيد تقديم المزيد من الأمثلة العملية والتطبيقات الواقعية لتوضيح الفوائد العملية لهذا التوزيع الجديد. كما أن البحث يمكن أن يستفيد من مقارنة أعمق بين التوزيع الأسي الكلاسيكي والتوزيع الأسي النيتروسوفيكي لتوضيح الفروق والفوائد بشكل أوضح. بالإضافة إلى ذلك، يمكن تعزيز البحث بمزيد من الدراسات التجريبية لتأكيد النتائج وتوسيع نطاق تطبيقها في مجالات أخرى.
Questions related to the research
  1. ما هو التوزيع الأسي النيتروسوفيكي؟

    التوزيع الأسي النيتروسوفيكي هو امتداد للتوزيع الأسي الكلاسيكي باستخدام منطق النيتروسوفيك، الذي يمكنه التعامل مع البيانات غير المحددة بدقة.

  2. ما هي أهمية استخدام منطق النيتروسوفيك في التوزيعات الاحتمالية؟

    يسمح منطق النيتروسوفيك بالتعامل مع البيانات غير المحددة بدقة، مما يؤدي إلى نتائج أكثر دقة وواقعية في التوزيعات الاحتمالية، وهو ما يعزز من دقة القرارات المستندة إلى هذه التوزيعات.

  3. كيف يؤثر وجود اللاتحديد في البيانات على قيمة الاحتمال النهائي؟

    وجود اللاتحديد في البيانات يؤثر على قيمة الاحتمال النهائي، حيث لا يمكن تجاهل القيم غير المحددة للحصول على نتائج دقيقة، وبالتالي يجب تضمينها في إطار الدراسة.

  4. ما هي المجالات التي يمكن أن تستفيد من تطبيق التوزيع الأسي النيتروسوفيكي؟

    يمكن تطبيق التوزيع الأسي النيتروسوفيكي في مجالات متعددة مثل الطب والفيزياء ونظم المعلومات وعلوم الحاسب، حيث يمكنه التعامل مع البيانات غير المحددة بدقة وتحقيق نتائج أكثر دقة وواقعية.


References used
Osman, Salah and Smarandache, Florentin. Arab Philosophy from a Neutrosophy Perspective, Al Ma'aref Establishment, Alexandria, 2007
A. A. Salama and F. Smarandache. Neutrosophic Crisp Set Theory, Education Publishing, Columbus, 2015
A. A. Salama and F. Smarandache. Neutrosophic Crisp Probability Theory. Critical Review. Volume XII, 2016
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