Title
Interval-valued (alpha, beta)-fuzzy K-algebras
Abstract
The notion of interval-valued fuzzy sets was first introduced by Zadeh in 1975 as a generalization of fuzzy sets. Using the concept of interval-valued fuzzy sets, we introduce a new kind of generalized fuzzy subalgebra of a K-algebra called, an interval-valued (alpha, beta)-fuzzy subalgebra. We present some interesting properties of an interval-valued (alpha, beta)-fuzzy subalgebra of a K-algebra. Some characterization theorems of the interval-valued (epsilon, epsilon boolean OR q)-fuzzy subalgebra are established. Next we investigate the properties of interval-valued fuzzy subalgebras with thresholds. Finally we present characterization theorems of implication based interval-valued fuzzy subalgebras. (C) 2010 Elsevier B.V. All rights reserved.
Year
DOI
Venue
2011
10.1016/j.asoc.2010.02.020
APPLIED SOFT COMPUTING
Keywords
DocType
Volume
K-algebras,Interval-valued fuzzy points,Level sets,(alpha,beta)-Fuzzy subalgebras,Fuzzy subalgebras with thresholds,Implication operator
Journal
11
Issue
ISSN
Citations 
1.0
1568-4946
1
PageRank 
References 
Authors
0.36
0
3
Name
Order
Citations
PageRank
M. Akram1142.62
K. H. Dar210.70
K. P. Shum38211.08