Redefined soft relations and soft functions

Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainties. In this paper, the notion of soft relation is introduced which is a generalization of the notion of soft set relation, and some related properties are examined. Furthermore, the co...

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Bibliographic Details
Main Authors:	Keyun Qin, Qiong Liu, Yang Xu
Format:	Article
Language:	English
Published:	Atlantis Press 2015-09-01
Series:	International Journal of Computational Intelligence Systems
Subjects:	Soft sets Fuzzy sets Soft relations Soft functions Composition of soft relations
Online Access:	https://www.atlantis-press.com/article/25868632.pdf

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spelling	doaj-90412aff60fd49639a6dbd4428af117d2020-11-25T02:04:04ZengAtlantis PressInternational Journal of Computational Intelligence Systems 1875-68832015-09-018510.1080/18756891.2015.1063244Redefined soft relations and soft functionsKeyun QinQiong LiuYang XuSoft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainties. In this paper, the notion of soft relation is introduced which is a generalization of the notion of soft set relation, and some related properties are examined. Furthermore, the connections between soft relations and fuzzy sets are analyzed. It is shown that fuzzy relation and fuzzy soft set may be considered as special cases of soft relation.https://www.atlantis-press.com/article/25868632.pdfSoft setsFuzzy setsSoft relationsSoft functionsComposition of soft relations
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Keyun Qin Qiong Liu Yang Xu
spellingShingle	Keyun Qin Qiong Liu Yang Xu Redefined soft relations and soft functions International Journal of Computational Intelligence Systems Soft sets Fuzzy sets Soft relations Soft functions Composition of soft relations
author_facet	Keyun Qin Qiong Liu Yang Xu
author_sort	Keyun Qin
title	Redefined soft relations and soft functions
title_short	Redefined soft relations and soft functions
title_full	Redefined soft relations and soft functions
title_fullStr	Redefined soft relations and soft functions
title_full_unstemmed	Redefined soft relations and soft functions
title_sort	redefined soft relations and soft functions
publisher	Atlantis Press
series	International Journal of Computational Intelligence Systems
issn	1875-6883
publishDate	2015-09-01
description	Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainties. In this paper, the notion of soft relation is introduced which is a generalization of the notion of soft set relation, and some related properties are examined. Furthermore, the connections between soft relations and fuzzy sets are analyzed. It is shown that fuzzy relation and fuzzy soft set may be considered as special cases of soft relation.
topic	Soft sets Fuzzy sets Soft relations Soft functions Composition of soft relations
url	https://www.atlantis-press.com/article/25868632.pdf
work_keys_str_mv	AT keyunqin redefinedsoftrelationsandsoftfunctions AT qiongliu redefinedsoftrelationsandsoftfunctions AT yangxu redefinedsoftrelationsandsoftfunctions
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Redefined soft relations and soft functions

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