International Science and Technology Journal
ISSN: 2519-9854 (Online)
ISSN: 2519-9846 (Print)
A peer-reviewed and open access journal concerned with publishing researches and studies in the field of applied sciences and engineering
Dib’s Fuzzy Hv-ideals in fuzzy Hv -semigroups based on fuzzy space
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| Institution: | School of Mathematical Sciences, Faculty of Science, University of Zawia. |
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| Field: | العلوم العامة: الرياضيات و الاحصاء و الفيزياء |
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| Published in: | Special volume - February 2022: SCITCS1 |
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الملخص
الفكرة المعتمدة لهذا البحث هي دراسة وتوضيح بعض المفاهيم والخواص الأساسية للمثاليات الضبابية العليا، الخاصة بشبه الزمر الضبابية التي تعتمد على الفضاء الضبابي المُعرّف بواسطة العالم الرياضي "ديب". كما سنوضح العلاقة بين هذه المثاليات العليا الضبابية (اليمنى، اليسرى) والمثاليات الضبابية الكلاسيكية المعتمدة على المجموعات الضبابية.
Abstract
The aim of this paper is to define and study the concept of a fuzzy (left, right) hyperideal in fuzzy semihypergroup, which depends on the concept of a fuzzy space as a direct generalization of the concept of fuzzy ideals in fuzzy semigroups, through the new approach of fuzzy space introduced by (Dib. K, 1996) and fuzzy hypergroup based on fuzzy space. A correspondence relationship between the introduced fuzzy (left, right) hyperideals and fuzzy (left, right) hyperideals based on fuzzy universal set by (Davvaz. B, 1998) is established
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