Generalized Ideals of BCK/BCI-Algebras Based on Fuzzy Soft Set Theory
In the present paper, using Lukaswize triple-valued logic, we introduce the notion of α,β-intuitionistic fuzzy soft ideal of BCK/BCI-algebras, where α and β are the membership values between an intuitionistic fuzzy soft point and intuitionistic fuzzy set. Moreover, intuitionistic fuzzy soft ideals w...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2021/8869931 |
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| author | G. Muhiuddin D. Al-Kadi K. P. Shum A. M. Alanazi |
| author_facet | G. Muhiuddin D. Al-Kadi K. P. Shum A. M. Alanazi |
| author_sort | G. Muhiuddin |
| collection | DOAJ |
| description | In the present paper, using Lukaswize triple-valued logic, we introduce the notion of α,β-intuitionistic fuzzy soft ideal of BCK/BCI-algebras, where α and β are the membership values between an intuitionistic fuzzy soft point and intuitionistic fuzzy set. Moreover, intuitionistic fuzzy soft ideals with thresholds are introduced, and their related properties are investigated. |
| format | Article |
| id | doaj-art-30df6b4632f04581af1f2b49856626d2 |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-30df6b4632f04581af1f2b49856626d22025-02-03T01:04:25ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2021-01-01202110.1155/2021/88699318869931Generalized Ideals of BCK/BCI-Algebras Based on Fuzzy Soft Set TheoryG. Muhiuddin0D. Al-Kadi1K. P. Shum2A. M. Alanazi3Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi ArabiaDepartment of Mathematics and Statistic, Taif University, Taif 21974, Saudi ArabiaInstitute of Mathematics, Yunnan University, Kunming 650091, ChinaDepartment of Mathematics, University of Tabuk, Tabuk 71491, Saudi ArabiaIn the present paper, using Lukaswize triple-valued logic, we introduce the notion of α,β-intuitionistic fuzzy soft ideal of BCK/BCI-algebras, where α and β are the membership values between an intuitionistic fuzzy soft point and intuitionistic fuzzy set. Moreover, intuitionistic fuzzy soft ideals with thresholds are introduced, and their related properties are investigated.http://dx.doi.org/10.1155/2021/8869931 |
| spellingShingle | G. Muhiuddin D. Al-Kadi K. P. Shum A. M. Alanazi Generalized Ideals of BCK/BCI-Algebras Based on Fuzzy Soft Set Theory Advances in Fuzzy Systems |
| title | Generalized Ideals of BCK/BCI-Algebras Based on Fuzzy Soft Set Theory |
| title_full | Generalized Ideals of BCK/BCI-Algebras Based on Fuzzy Soft Set Theory |
| title_fullStr | Generalized Ideals of BCK/BCI-Algebras Based on Fuzzy Soft Set Theory |
| title_full_unstemmed | Generalized Ideals of BCK/BCI-Algebras Based on Fuzzy Soft Set Theory |
| title_short | Generalized Ideals of BCK/BCI-Algebras Based on Fuzzy Soft Set Theory |
| title_sort | generalized ideals of bck bci algebras based on fuzzy soft set theory |
| url | http://dx.doi.org/10.1155/2021/8869931 |
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