Representation of compositional relations in fuzzy reasoning
Fuzzy Sets and Systems - Fuzzy information processing
Graded sets and points: a stratified approach to fuzzy sets and points
Fuzzy Sets and Systems
Lebesgue measure of &agr;-cuts approach for finding the height of the membership function
Fuzzy Sets and Systems
On the representation of fuzzy rules in terms of crisp rules
Information Sciences—Informatics and Computer Science: An International Journal
The three-dimensional fuzzy sets and their cut sets
Computers & Mathematics with Applications
Cut sets on interval-valued intuitionistic fuzzy sets
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 6
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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Three new cut sets are introduced from the view points of neighborhood and Q-neighborhood in fuzzy topology and their properties are discussed. By the use of these cut sets, new decomposition theorems, new representation theorems, new extension principles and new fuzzy linear mappings are obtained. Then inner project of fuzzy relations, generalized extension principle and new composition rule of fuzzy relations are given. In the end, we present axiomatic descriptions for different cut sets and show the three most intrinsic properties for each cut set.