Generalised Interval-Valued Fuzzy Soft Set

We introduce the concept of generalised interval-valued fuzzy soft set and its operations and study some of their properties. We give applications of this theory in solving a decision making problem. We also introduce a similarity measure of two generalised interval-valued fuzzy soft sets and discus...

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Main Authors: Shawkat Alkhazaleh, Abdul Razak Salleh
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/870504
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author Shawkat Alkhazaleh
Abdul Razak Salleh
author_facet Shawkat Alkhazaleh
Abdul Razak Salleh
author_sort Shawkat Alkhazaleh
collection DOAJ
description We introduce the concept of generalised interval-valued fuzzy soft set and its operations and study some of their properties. We give applications of this theory in solving a decision making problem. We also introduce a similarity measure of two generalised interval-valued fuzzy soft sets and discuss its application in a medical diagnosis problem: fuzzy set; soft set; fuzzy soft set; generalised fuzzy soft set; generalised interval-valued fuzzy soft set; interval-valued fuzzy set; interval-valued fuzzy soft set.
format Article
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institution Kabale University
issn 1110-757X
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language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-381ae8c4b57e462389a59ead88d6c72e2025-02-03T01:25:30ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/870504870504Generalised Interval-Valued Fuzzy Soft SetShawkat Alkhazaleh0Abdul Razak Salleh1School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, MalaysiaSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, MalaysiaWe introduce the concept of generalised interval-valued fuzzy soft set and its operations and study some of their properties. We give applications of this theory in solving a decision making problem. We also introduce a similarity measure of two generalised interval-valued fuzzy soft sets and discuss its application in a medical diagnosis problem: fuzzy set; soft set; fuzzy soft set; generalised fuzzy soft set; generalised interval-valued fuzzy soft set; interval-valued fuzzy set; interval-valued fuzzy soft set.http://dx.doi.org/10.1155/2012/870504
spellingShingle Shawkat Alkhazaleh
Abdul Razak Salleh
Generalised Interval-Valued Fuzzy Soft Set
Journal of Applied Mathematics
title Generalised Interval-Valued Fuzzy Soft Set
title_full Generalised Interval-Valued Fuzzy Soft Set
title_fullStr Generalised Interval-Valued Fuzzy Soft Set
title_full_unstemmed Generalised Interval-Valued Fuzzy Soft Set
title_short Generalised Interval-Valued Fuzzy Soft Set
title_sort generalised interval valued fuzzy soft set
url http://dx.doi.org/10.1155/2012/870504
work_keys_str_mv AT shawkatalkhazaleh generalisedintervalvaluedfuzzysoftset
AT abdulrazaksalleh generalisedintervalvaluedfuzzysoftset