Abstract | ||
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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 |
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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. Akram | 1 | 14 | 2.62 |
K. H. Dar | 2 | 1 | 0.70 |
K. P. Shum | 3 | 82 | 11.08 |