Abstract In this paper, we study the reducibility property of special hyper-groups, called Corsini hypergroups, named after the mathematician who introduced them. The concept of reducibility was introduced by Jantosciak, who noticed that it can happen that hyperproduct does not distinguish between a pair of elements. He defined a certain equivalences in order to identify elements which play the same role with respect to the hyperoperation. First we will determine specific conditions under which the Corsini hypergroups are reduced. Next, we will present some properties of these hypergroups necessary for studying the fuzzy reducibility property. The fuzzy reducibility will be considered with respect to the grade fuzzy set μ̃, used for defining the fuzzy grade of a hypergroup. Finally, we will study the reducibility and the fuzzy reducibility of the direct product of Corsini hypergroups.

Milica Kankaras

Analele Universităţii "Ovidius" Constanţa. Seria Matematică

该杂志由 MIRELA STEFANESCU 和 SILVIU SBURLAN 于 1993 年创立，致力于纯数学和应用数学。由罗马尼亚康斯坦察奥维迪乌斯大学数学和计算机科学学院出版。

The journal "Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica" was founded in 1993 by MIRELA STEFANESCU and SILVIU SBURLAN, focusing on research in pure and applied mathematics. It is published by the Faculty of Mathematics and Computer Science at Ovidius University in Constanta, Romania.

《Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica》杂志由MIRELA STEFANESCU和SILVIU SBURLAN于1993年创立，专注于纯数学和应用数学的研究。该杂志由罗马尼亚康斯坦察的奥维迪乌斯大学数学与计算机科学学院出版。

Category	Quartile
数学	4
数学, 数学	4
数学, 应用数学	4

Reducibility in Corsini hypergroups

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Journal Info

Category	Quartile
MATHEMATICS, APPLIED	3