Fuzzy BCI-subalgebras with interval-valued membership functions
The purpose of this paper is to define the notion of an interval-valued fuzzy BCI-subalgebra (briefly, an i-v fuzzy BCI-subalgebra) of a BCI-algebra. Necessary and sufficient conditions for an i-v fuzzy set to be an i-v fuzzy BCI-subalgebra are stated. A way to make a new i-v fuzzy BCI-subalgebra fr...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201005087 |
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| _version_ | 1832553433343721472 |
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| author | Sung Min Hong Young Bae Jun Seon Jeong Kim Gwang Il Kim |
| author_facet | Sung Min Hong Young Bae Jun Seon Jeong Kim Gwang Il Kim |
| author_sort | Sung Min Hong |
| collection | DOAJ |
| description | The purpose of this paper is to define the notion of an
interval-valued fuzzy BCI-subalgebra (briefly, an i-v fuzzy
BCI-subalgebra) of a BCI-algebra. Necessary and sufficient
conditions for an i-v fuzzy set to be an i-v fuzzy BCI-subalgebra
are stated. A way to make a new i-v fuzzy BCI-subalgebra from old
one is given. The images and inverse images of i-v fuzzy
BCI-subalgebras are defined, and how the images or inverse images
of i-v fuzzy BCI-subalgebras become i-v fuzzy BCI-subalgebras is
studied. |
| format | Article |
| id | doaj-art-e2f83fc4c5d94296916d17d2efb3ecd5 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e2f83fc4c5d94296916d17d2efb3ecd52025-02-03T05:54:06ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0125213514310.1155/S0161171201005087Fuzzy BCI-subalgebras with interval-valued membership functionsSung Min Hong0Young Bae Jun1Seon Jeong Kim2Gwang Il Kim3Department of Mathematics, Gyeongsang National University, Chinju 660-701, South KoreaDepartment of Mathematics Education, Gyeongsang National University, Chinju 660-701, South KoreaDepartment of Mathematics, Gyeongsang National University, Chinju 660-701, South KoreaDepartment of Mathematics, Gyeongsang National University, Chinju 660-701, South KoreaThe purpose of this paper is to define the notion of an interval-valued fuzzy BCI-subalgebra (briefly, an i-v fuzzy BCI-subalgebra) of a BCI-algebra. Necessary and sufficient conditions for an i-v fuzzy set to be an i-v fuzzy BCI-subalgebra are stated. A way to make a new i-v fuzzy BCI-subalgebra from old one is given. The images and inverse images of i-v fuzzy BCI-subalgebras are defined, and how the images or inverse images of i-v fuzzy BCI-subalgebras become i-v fuzzy BCI-subalgebras is studied.http://dx.doi.org/10.1155/S0161171201005087 |
| spellingShingle | Sung Min Hong Young Bae Jun Seon Jeong Kim Gwang Il Kim Fuzzy BCI-subalgebras with interval-valued membership functions International Journal of Mathematics and Mathematical Sciences |
| title | Fuzzy BCI-subalgebras with interval-valued membership functions |
| title_full | Fuzzy BCI-subalgebras with interval-valued membership functions |
| title_fullStr | Fuzzy BCI-subalgebras with interval-valued membership functions |
| title_full_unstemmed | Fuzzy BCI-subalgebras with interval-valued membership functions |
| title_short | Fuzzy BCI-subalgebras with interval-valued membership functions |
| title_sort | fuzzy bci subalgebras with interval valued membership functions |
| url | http://dx.doi.org/10.1155/S0161171201005087 |
| work_keys_str_mv | AT sungminhong fuzzybcisubalgebraswithintervalvaluedmembershipfunctions AT youngbaejun fuzzybcisubalgebraswithintervalvaluedmembershipfunctions AT seonjeongkim fuzzybcisubalgebraswithintervalvaluedmembershipfunctions AT gwangilkim fuzzybcisubalgebraswithintervalvaluedmembershipfunctions |