On Abelian and Related Fuzzy Subsets of Groupoids
نویسندگان
چکیده
We introduce the notion of abelian fuzzy subsets on a groupoid, and we observe a variety of consequences which follow. New notions include, among others, diagonal symmetric relations, several types of quasi orders, convex sets, and fuzzy centers, some of whose properties are also investigated.
منابع مشابه
SELECTIVE GROUPOIDS AND FRAMEWORKS INDUCED BY FUZZY SUBSETS
In this paper, we show that every selective groupoid induced by a fuzzy subset is a pogroupoid, and we discuss several properties in quasi ordered sets by introducing the notion of a framework.
متن کاملC*-algebras on r-discrete Abelian Groupoids
We study certain function algebras and their operator algebra completions on r-discrete abelian groupoids, the corresponding conditional expectations, maximal abelian subalgebras (masa) and eigen-functionals. We give a semidirect product decomposition for an abelian groupoid. This is done through a matched pair and leads to a C*-diagonal (for a special case). We use this decomposition to study ...
متن کاملPolynomial evaluation groupoids and their groups
In this paper, we show how certain metabelian groups can be found within polynomial evaluation groupoids. We show that every finite abelian group can beobtained as a polynomial evaluation groupoid.
متن کاملSelective Groupoids and Frameworks Induced by Fuzzy Subsets
In this paper, we show that every selective groupoid induced by a fuzzy subset is a pogroupoid, and we discuss several properties in quasi ordered sets by introducing the notion of a framework.
متن کاملFuzzy points of equivalent fuzzy subsets
A natural equivalence relation on the set of all fuzzy subsets, generalizing the equality of crisp sets, was recently introduced and studied in various contexts such as finite fuzzy subsets, fuzzy vector space, finite fuzzy subfields and in the classification of finite Abelian groups. In this paper, we restrict this equivalence to the set of fuzzy points and study its effect on the relationship...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره 2013 شماره
صفحات -
تاریخ انتشار 2013