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Register a new userFuzzy Sets Category and Applications of Its Universal Arrows
فئة المجموعات المشوشة و تطبيقات مورفيزماتها الشّاملة
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تقدم هذه الورقة البحثية تعميماً لمفهوم الفئة Set الوارد في [10 من خلال بناء الفئة - التي أشياؤها المجموعات الـ ℒ - مشوشة الصغيرة التي تأخذ دوالها المميزة قيمها من شبكةٍ توزيعيـةٍ تامة، و مورفيزماتها التطبيقات الـ ℒ - مشوشة، و من ثم بناء تشاكلٍ فئـوي Set →Set- بـين تلـك الفئتـين مهمـلاً صـفة التـشويش للمجموعـات و التطبيقـات و بنـاء تـشاكل الاحتـواء . - فضلاً عن دراسة تطبيقات المورفيزمات الشاملة في الفئـة - و إرجاعهـا إلـى الحالـة الكلاسيكية و مقارنتها بما ورد في [10.
This paper introduces a generalization of the concept of Set category introduced in [10] by constructing the category - whose objects are small ℒ - fuzzy sets in which the characteristic functions takes its values from a complete distributive lattice, and its arrows are ℒ - fuzzy maps. After that we construct a functor - between these two categories, in a way that forgets the fuzziness of sets and maps, and formalizing the inclusion functor - . In addition, we study of the applications of universal arrows in category - , and getting back to the classical state and comparing it with that introduced in [10].
References used
Adamek, J. Herrlich, H. and Strecker, G.E., 2009. Abstract and concerte Categories The Joy of Cats, New York, John Wiley & Sons
Asperti, A. and Longo, G.1991.Categories Types and Structures, M.I.T. Press
Barr, M. and wells, C., 2005.Toposes, triples and theories, Reprints in theory and applications of Categories, No.1, PP.1-289
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المجموعات المشوشة
الحلقات الجزئية المشوشة العليا
المثاليات المشوشة العليا
المثاليات الأولية المشوشة العليا
سوية الحلقات الجزئية المشوشة العليا
T –المثاليات الأولية المـشوشة العليـا
T-S -المثاليات الأولية الضعيفة المشوشة العليا
Fuzzy Sets
Upper fuzzy subrings
Upper Fuzzy Ideals
Upper Fuzzy Prime deals
Level Upper Fuzzy Subrings
T- Upper Fuzzy Prime Ideals
T-S- Upper Weakly Fuzzy Prime Ideals
المزيد..
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