Generalized representation theorem and its application to the construction of fuzzy sets: existence and uniqueness
From MaRDI portal
Publication:1951290
DOI10.1016/J.IJAR.2012.05.008zbMath1264.03114OpenAlexW1968813820MaRDI QIDQ1951290
Publication date: 4 June 2013
Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ijar.2012.05.008
Cites Work
- Unnamed Item
- A bipolar model of assertability and belief
- Graded sets and points: A stratified approach to fuzzy sets and points
- A note on a natural equivalence relation on fuzzy power set
- Existence and uniqueness of fuzzy ideals
- Uniqueness in the generalized representation by fuzzy sets
- On the calculation of the bounds of probability of events using infinite random sets
- Generalized extension principle
- Hahn-Banach extension theorems over the space of fuzzy elements
- Joint propagation of probability and possibility in risk analysis: towards a formal framework
- Alternative characterizations for the representation of families of sets by fuzzy sets
- On a representation of posets by fuzzy sets
- A generalization of the representation theorem
- Lattice of partially ordered fuzzy subalgebras
- Completion of ordered structures by cuts of fuzzy sets: An overview
- Representing ordered structures by fuzzy sets: An overview
- On existence of \(P\)-valued fuzzy sets with a given collection of cuts
- A definition of subjective possibility
- From fuzzy sets to the decompositions of non-rigid sets
- Constructing consonant belief functions from sample data using confidence sets of pignistic probabilities
- A random set characterization of possibility measures
- Uniqueness results in the representation of families of sets by fuzzy sets
- Rigid chains admitting many embeddings
- RELATIONSHIPS BETWEEN POSSIBILITY MEASURES AND NESTED RANDOM SETS
- Symbolic and Quantitative Approaches to Reasoning with Uncertainty
- Homomorphisms of poset-valued algebras
This page was built for publication: Generalized representation theorem and its application to the construction of fuzzy sets: existence and uniqueness