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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Format: | Article |
Language: | English |
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Wiley
2012-01-01
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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 |
id | doaj-art-381ae8c4b57e462389a59ead88d6c72e |
institution | Kabale University |
issn | 1110-757X 1687-0042 |
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 |