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Volume 28 Number 2 2006 |
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Fuzzy Q S-Algebras with
Interval-Valued Membership Functions
Arsham Borumand Saeid
Abstract.
In this note the notion of interval-valued fuzzy Q
S-algebra (briefly, i-v fuzzy Q
S-algebra), as well as the i-v level and strong i-v
level Q S-subalgebra is introduced. Several
theorems which determine the relationship between these
notions and Q S-subalgebras are stated and
proved. The images and inverse images of i-v fuzzy Q
S-subalgebras are defined, and how the homomorphic
images and inverse images of an i-v fuzzy Q
S-subalgebra become i-v fuzzy Q
S-algebras is studied as well.
2000 Mathematics Subject Classification: 03B52 , 03G25, 06F35, 94D05.
Full text: PDF
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