Dynamic equivalence relation on the fuzzy measure algebras

The main goal of the present paper is to extend classical results from the measure theory and dynamical systems to the fuzzy subset setting. In this paper, the notion of dynamic equivalence relation is introduced and then it is proved that this relation is an equivalence relation. Also, a new metri...

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Main Authors:	Roya Ghasemkhani, Uosef Mohammadi
Format:	Article
Language:	English
Published:	University of Maragheh 2017-04-01
Series:	Sahand Communications in Mathematical Analysis
Subjects:	Fuzzy measure algebra Dynamical system Equivalence relation Uniformly continuous
Online Access:	http://scma.maragheh.ac.ir/article_22015_386a0c0212ed48b855025307bda3aa1e.pdf

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spelling	doaj-1a67ddd9da5143abae37dd21a67344592020-11-24T21:24:35ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002017-04-0161192822015Dynamic equivalence relation on the fuzzy measure algebrasRoya Ghasemkhani0Uosef Mohammadi1Department of Mathematics, Faculty of Science, University of Jiroft, Jiroft, Iran.Department of Mathematics, Faculty of Science, University of Jiroft, Jiroft, Iran.The main goal of the present paper is to extend classical results from the measure theory and dynamical systems to the fuzzy subset setting. In this paper, the notion of dynamic equivalence relation is introduced and then it is proved that this relation is an equivalence relation. Also, a new metric on the collection of all equivalence classes is introduced and it is proved that this metric is complete.http://scma.maragheh.ac.ir/article_22015_386a0c0212ed48b855025307bda3aa1e.pdfFuzzy measure algebraDynamical systemEquivalence relationUniformly continuous
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Roya Ghasemkhani Uosef Mohammadi
spellingShingle	Roya Ghasemkhani Uosef Mohammadi Dynamic equivalence relation on the fuzzy measure algebras Sahand Communications in Mathematical Analysis Fuzzy measure algebra Dynamical system Equivalence relation Uniformly continuous
author_facet	Roya Ghasemkhani Uosef Mohammadi
author_sort	Roya Ghasemkhani
title	Dynamic equivalence relation on the fuzzy measure algebras
title_short	Dynamic equivalence relation on the fuzzy measure algebras
title_full	Dynamic equivalence relation on the fuzzy measure algebras
title_fullStr	Dynamic equivalence relation on the fuzzy measure algebras
title_full_unstemmed	Dynamic equivalence relation on the fuzzy measure algebras
title_sort	dynamic equivalence relation on the fuzzy measure algebras
publisher	University of Maragheh
series	Sahand Communications in Mathematical Analysis
issn	2322-5807 2423-3900
publishDate	2017-04-01
description	The main goal of the present paper is to extend classical results from the measure theory and dynamical systems to the fuzzy subset setting. In this paper, the notion of dynamic equivalence relation is introduced and then it is proved that this relation is an equivalence relation. Also, a new metric on the collection of all equivalence classes is introduced and it is proved that this metric is complete.
topic	Fuzzy measure algebra Dynamical system Equivalence relation Uniformly continuous
url	http://scma.maragheh.ac.ir/article_22015_386a0c0212ed48b855025307bda3aa1e.pdf
work_keys_str_mv	AT royaghasemkhani dynamicequivalencerelationonthefuzzymeasurealgebras AT uosefmohammadi dynamicequivalencerelationonthefuzzymeasurealgebras
_version_	1725987512920309760

Dynamic equivalence relation on the fuzzy measure algebras

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