| (α,β)-fuzzy Subalgebras of Q-algebras |
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| 作者姓名： | Arsham Borumand Saeid |
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| 作者单位： | Arsham Borumand Saeid（Dept of Math.,Shahid Bahonar University of Kerman,Kerman,Iran） |
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| 摘 要： | In this note by two relations belonging to (∈) and quasi-coincidence (q) between fuzzy points and fuzzy sets,the notion of (α,β)-fuzzy Q-algebras,the level Q-subalgebra is introduced where α,β are any two of {∈,q,∈∨q,∈∧q} with α≠∈∧q.Then we state and prove some theorems which determine the relationship between these notions and Q-subalgebras.The images and inverse images of (α,β)-fuzzy Q-subalgebras are defined,and how the homomorphic images and inverse images of (α,β)-fuzzy Q-subalgebra becomes (α,β)-fuzzy Q-algebras are studied.
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| 关 键 词： | (α β)-fuzzy Q-algebra |
| 文章编号： | 1001-7402(2008)01-0054-08 |
| 修稿时间： | 2007年1月31日 |
(α,β)-fuzzy Subalgebras of Q-algebras |
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| Arsham Borumand Saeid.(α,β)-fuzzy Subalgebras of Q-algebras[J].Fuzzy Systems and Mathematics,2008,22(1):54-61. |
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| Authors: | Arsham Borumand Saeid |
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| Institution: | Dept of Math.,Shahid Bahonar University of Kerman,Kerman,Iran |
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| Abstract: | In this note by two relations belonging to (∈) and quasi-coincidence (q) between fuzzy points and fuzzy sets,the notion of (α,β)-fuzzy Q-algebras,the level Q-subalgebra is introduced where α,β are any two of {∈,q,∈∨q,∈∧q} with α≠∈∧q.Then we state and prove some theorems which determine the relationship between these notions and Q-subalgebras.The images and inverse images of (α,β)-fuzzy Q-subalgebras are defined,and how the homomorphic images and inverse images of (α,β)-fuzzy Q-subalgebra becomes (α,β)-fuzzy Q-algebras are studied. |
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| Keywords: | Belonging to Quasi-coincidence (Fuzzy) Q-algebras Level Subalgebras |
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