Fuzzy entropy and conditioning
Information Sciences: an International Journal
Fuzzification of set inclusion: theory and applications
Fuzzy Sets and Systems
Ranking fuzzy interval numbers in the setting of random sets
Information Sciences: an International Journal
A modified measure for fuzzy subsethood
Information Sciences—Intelligent Systems: An International Journal
Fuzzy Sets and Systems
Subsethood measure: new definitions
Fuzzy Sets and Systems
Ranking fuzzy interval numbers in the setting of random sets — further results
Information Sciences: an International Journal
A probabilistic definition of a nonconvex fuzzy cardinality
Fuzzy Sets and Systems
On the relationship between some extensions of fuzzy set theory
Fuzzy Sets and Systems - Theme: Basic notions
L-fuzzy valued inclusion measure, L-fuzzy similarity and L-fuzzy distance
Fuzzy Sets and Systems - Theme: Basic concepts
Information Sciences: an International Journal
Information Sciences: an International Journal
An efficient centroid type-reduction strategy for general type-2 fuzzy logic system
Information Sciences: an International Journal
On similarity and inclusion measures between type-2 fuzzy sets with an application to clustering
Computers & Mathematics with Applications
Fuzzy subsethood for fuzzy sets of type-2 and generalized type-n
IEEE Transactions on Fuzzy Systems
Fuzzy Sets and Systems
On possible and necessary inclusion of intuitionistic fuzzy sets
Information Sciences: an International Journal
Definition and construction of fuzzy DI-subsethood measures
Information Sciences: an International Journal
IEEE Transactions on Fuzzy Systems
Similarity, inclusion and entropy measures between type-2 fuzzy sets based on the Sugeno integral
Mathematical and Computer Modelling: An International Journal
Fixed charge transportation problem with type-2 fuzzy variables
Information Sciences: an International Journal
On type-2 fuzzy relations and interval-valued type-2 fuzzy sets
Fuzzy Sets and Systems
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The main aim of this paper is to propose new subsethood measures for continuous, general type-2 fuzzy sets. For this purpose, we introduce inclusions and subsethood measures for interval-valued fuzzy sets first. Then, using an @a-plane representation for type-2 fuzzy sets, we extend these inclusions and subsethood measures to general type-2 fuzzy sets. Subsethood measures for interval-valued fuzzy sets (hence, also for type-2 fuzzy sets) rely on already known subsethood measures for ordinary fuzzy sets. We focus on a special subsethood measure for ordinary fuzzy sets, based on @a-cut representation, and show, how to compute subsethood measures for continuous type-2 fuzzy sets with no need for discretizing of universe. This is a very interesting and useful property of proposed subsethood measures, which is one of the reason, why our approach has less computational demand than the others.