Hesitant Fuzzy Soft Subalgebras and Ideals in BCK/BCI-Algebras
As a link between classical soft sets and hesitant fuzzy sets, the notion of hesitant fuzzy soft sets is introduced and applied to a decision making problem in the papers by Babitha and John (2013) and Wang et al. (2014). The aim of this paper is to apply hesitant fuzzy soft set for dealing with sev...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/763929 |
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| author | Young Bae Jun Sun Shin Ahn G. Muhiuddin |
| author_facet | Young Bae Jun Sun Shin Ahn G. Muhiuddin |
| author_sort | Young Bae Jun |
| collection | DOAJ |
| description | As a link between classical soft sets and hesitant fuzzy sets, the notion of hesitant fuzzy soft sets is introduced and applied to a decision making problem in the papers by Babitha and John (2013) and Wang et al. (2014). The aim of this paper is to apply hesitant fuzzy soft set for dealing with several kinds of theories in BCK/BCI-algebras. The notions of hesitant fuzzy soft subalgebras and (closed) hesitant fuzzy soft ideals are introduced, and related properties are investigated. Relations between a hesitant fuzzy soft subalgebra and a (closed) hesitant fuzzy soft ideal are discussed. Conditions for a hesitant fuzzy soft set to be a hesitant fuzzy soft subalgebra are given, and conditions for a hesitant fuzzy soft subalgebra to be a hesitant fuzzy soft ideal are provided. Characterizations of a (closed) hesitant fuzzy soft ideal are considered. |
| format | Article |
| id | doaj-art-1f64e54e1a0b40dc8abb27de5a243e99 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-1f64e54e1a0b40dc8abb27de5a243e992025-02-03T05:43:50ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/763929763929Hesitant Fuzzy Soft Subalgebras and Ideals in BCK/BCI-AlgebrasYoung Bae Jun0Sun Shin Ahn1G. Muhiuddin2Department of Mathematics Education, Gyeongsang National University, Jinju 660-701, Republic of KoreaDepartment of Mathematics Education, Dongguk University, Seoul 100-715, Republic of KoreaDepartment of Mathematics, University of Tabuk, Tabuk 71491, Saudi ArabiaAs a link between classical soft sets and hesitant fuzzy sets, the notion of hesitant fuzzy soft sets is introduced and applied to a decision making problem in the papers by Babitha and John (2013) and Wang et al. (2014). The aim of this paper is to apply hesitant fuzzy soft set for dealing with several kinds of theories in BCK/BCI-algebras. The notions of hesitant fuzzy soft subalgebras and (closed) hesitant fuzzy soft ideals are introduced, and related properties are investigated. Relations between a hesitant fuzzy soft subalgebra and a (closed) hesitant fuzzy soft ideal are discussed. Conditions for a hesitant fuzzy soft set to be a hesitant fuzzy soft subalgebra are given, and conditions for a hesitant fuzzy soft subalgebra to be a hesitant fuzzy soft ideal are provided. Characterizations of a (closed) hesitant fuzzy soft ideal are considered.http://dx.doi.org/10.1155/2014/763929 |
| spellingShingle | Young Bae Jun Sun Shin Ahn G. Muhiuddin Hesitant Fuzzy Soft Subalgebras and Ideals in BCK/BCI-Algebras The Scientific World Journal |
| title | Hesitant Fuzzy Soft Subalgebras and Ideals in BCK/BCI-Algebras |
| title_full | Hesitant Fuzzy Soft Subalgebras and Ideals in BCK/BCI-Algebras |
| title_fullStr | Hesitant Fuzzy Soft Subalgebras and Ideals in BCK/BCI-Algebras |
| title_full_unstemmed | Hesitant Fuzzy Soft Subalgebras and Ideals in BCK/BCI-Algebras |
| title_short | Hesitant Fuzzy Soft Subalgebras and Ideals in BCK/BCI-Algebras |
| title_sort | hesitant fuzzy soft subalgebras and ideals in bck bci algebras |
| url | http://dx.doi.org/10.1155/2014/763929 |
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