Volume 28 • Number 2 • 2006
 
• 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.


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