A generalization of the representation theorem
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Lattice of partially ordered fuzzy subalgebras
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Relationships between possibility measures and nested random sets
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International Journal of Approximate Reasoning
From fuzzy sets to the decompositions of non-rigid sets
Fuzzy Sets and Systems
Alternative characterizations for the representation of families of sets by fuzzy sets
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A definition of subjective possibility
International Journal of Approximate Reasoning
Uniqueness in the generalized representation by fuzzy sets
Fuzzy Sets and Systems
International Journal of Approximate Reasoning
On existence of P-valued fuzzy sets with a given collection of cuts
Fuzzy Sets and Systems
Uniqueness results in the representation of families of sets by fuzzy sets
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Generalized Extension Principle
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Hahn-Banach extension theorems over the space of fuzzy elements
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A bipolar model of assertability and belief
International Journal of Approximate Reasoning
Classifier fusion in the Dempster--Shafer framework using optimized t-norm based combination rules
International Journal of Approximate Reasoning
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ECSQARU'05 Proceedings of the 8th European conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
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A new methodology for constructing a fuzzy subset of a universal set U from a family of subsets of U based on a pre-determined range S that is a subset of (0,1] is proposed in this paper. The uniqueness of this construction method is also investigated, which depends on the structure of subset S. Whether the supremum of S lies in S is an important issue. This concern will be thoroughly studied in this paper.