Measurement of membership functions and their acquisition
Fuzzy Sets and Systems - Special memorial volume on foundations of fuzzy reasoning
Fuzzy Sets and Systems
A generalization of the representation theorem
Fuzzy Sets and Systems
On a representation of posets by fuzzy sets
Fuzzy Sets and Systems
On an equivalence of fuzzy subgroups I
Fuzzy Sets and Systems
Completion of ordered structures by cuts of fuzzy sets: an overview
Fuzzy Sets and Systems - Logic and algebra
Representing ordered structures by fuzzy sets: an overview
Fuzzy Sets and Systems - Logic and algebra
Toward a generalized theory of uncertainty (GTU): an outline
Information Sciences—Informatics and Computer Science: An International Journal
Information Sciences: an International Journal
General form of lattice-valued fuzzy sets under the cutworthy approach
Fuzzy Sets and Systems
Reformulation of the theory of conceptual spaces
Information Sciences: an International Journal
Generalized rough sets over fuzzy lattices
Information Sciences: an International Journal
Uniqueness results in the representation of families of sets by fuzzy sets
Fuzzy Sets and Systems
On existence of P-valued fuzzy sets with a given collection of cuts
Fuzzy Sets and Systems
Preferential normal fuzzy subgroups
Information Sciences: an International Journal
International Journal of Approximate Reasoning
Short communication: Lattice representations of interval-valued fuzzy sets
Fuzzy Sets and Systems
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We investigate the representation of a given family of sets by a fuzzy set in such a way that the level sets of the fuzzy set are precisely the given sets. This concept of representation is widely used in the literature for the classification and study of fuzzy structures on the same underlying set. Negoita and Ralescu obtained two theorems, both giving necessary and sufficient conditions, one called the representation theorem and the second called the generalized representation theorem. Our aim in this paper is to take a closer look at both theorems, hence establishing some equivalent forms and several constructive remarks, including some directions for future investigations.