INTERVAL-VALUED FUZZY B-ALGEBRAS

author

Abstract:

In this note the notion of interval-valued fuzzy B-algebras (briefly,i-v fuzzy B-algebras), the level and strong level B-subalgebra is introduced.Then we state and prove some theorems which determine the relationshipbetween these notions and B-subalgebras. The images and inverse images ofi-v fuzzy B-subalgebras are defined, and how the homomorphic images andinverse images of i-v fuzzy B-subalgebra becomes i-v fuzzy B-algebras arestudied.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

interval-valued fuzzy b-algebras

in this note the notion of interval-valued fuzzy b-algebras (briefly,i-v fuzzy b-algebras), the level and strong level b-subalgebra is introduced.then we state and prove some theorems which determine the relationshipbetween these notions and b-subalgebras. the images and inverse images ofi-v fuzzy b-subalgebras are defined, and how the homomorphic images andinverse images of i-v fuzzy b-subalge...

full text

Interval-Valued Fuzzy BF -Algebras

In this note the notion of interval-valued fuzzy BF -algebras (briefly, i-v fuzzy BF -algebras), the level and strong level BF -subalgebra is introduced. Then we state and prove some theorems which determine the relationship between these notions and BF -subalgebras. The images and inverse images of i-v fuzzy BF -subalgebras are defined, and how the homomorphic images and inverse images of i-v ...

full text

Interval-valued intuitionistic fuzzy ideals of B-algebras

The notion of interval-valued intuitionistic fuzzy sets was first introduced by Atanassov and Gargov in 1989 as a generalization of both interval-valued fuzzy sets and intuitionistic fuzzy sets. In this paper we first apply the concept of interval-valued intuitionistic fuzzy sets to K-algebras. Then we introduce the notion of interval-valued intuitionistic fuzzy ideals (IIFIs, in short) of K-al...

full text

Interval-Valued Algebras and Fuzzy Logics

In this chapter, we present a propositional calculus for several intervalvalued fuzzy logics, i.e., logics having intervals as truth values. More precisely, the truth values are preferably subintervals of the unit interval. The idea behind it is that such an interval can model imprecise information. To compute the truth values of ‘p implies q’ and ‘p and q’, given the truth values of p and q, w...

full text

Ideals of Subtraction Algebras Based on Interval Valued Fuzzy Set

The notion of an interval-valued fuzzy ideal in subtraction algebra is introduced and related properties are investigated. Mathematics Subject Classification: 03G25, 03E72

full text

Fuzzy QS-Algebras with Interval-Valued Membership Functions

In this note the notion of interval-valued fuzzy QS-algebra (briefly, i-v fuzzy QS-algebra), as well as the i-v level and strong i-v level QS-subalgebra is introduced. Several theorems which determine the relationship between these notions and QS-subalgebras are stated and proved. The images and inverse images of i-v fuzzy QS-subalgebras are defined, and how the homomorphic images and inverse i...

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 3  issue 2

pages  63- 73

publication date 2006-10-21

By following a journal you will be notified via email when a new issue of this journal is published.

Keywords

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023