Fuzzy Sets and Systems
Interval valued intuitionistic fuzzy sets
Fuzzy Sets and Systems
Representation of compositional relations in fuzzy reasoning
Fuzzy Sets and Systems - Fuzzy information processing
Intuitionistic fuzzy sets and L-fuzzy sets
Fuzzy Sets and Systems
Lebesgue measure of &agr;-cuts approach for finding the height of the membership function
Fuzzy Sets and Systems
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
On the representation of fuzzy rules in terms of crisp rules
Information Sciences—Informatics and Computer Science: An International Journal
Three new cut sets of fuzzy sets and new theories of fuzzy sets
Computers & Mathematics with Applications
The n-dimensional fuzzy sets and Zadeh fuzzy sets based on the finite valued fuzzy sets
Computers & Mathematics with Applications
Short communication: Lattice representations of interval-valued fuzzy sets
Fuzzy Sets and Systems
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In this paper, a new kind of L-fuzzy set is introduced which is called the three-dimensional fuzzy set. We first put forward four kinds of cut sets on the three-dimensional fuzzy sets which are defined by the 4-valued fuzzy sets. Then, the definitions of 4-valued order nested sets and 4-valued inverse order nested sets are given. Based on them, the decomposition theorems and representation theorems are obtained. Furthermore, the left interval-valued intuitionistic fuzzy sets and the right interval-valued intuitionistic fuzzy sets are introduced. We show that the lattices constructed by these two special L-fuzzy sets are not equivalent to sublattices of lattice constructed by the interval-valued intuitionistic fuzzy sets. Finally, we show that the three-dimensional fuzzy set is equivalent to the left interval-valued intuitionistic fuzzy set or the right interval-valued intuitionistic fuzzy set.