An interdependency index for the outputs of uncertain systems
Fuzzy Sets and Systems
Using Gradual Numbers for Solving Fuzzy-Valued Combinatorial Optimization Problems
IFSA '07 Proceedings of the 12th international Fuzzy Systems Association world congress on Foundations of Fuzzy Logic and Soft Computing
Fast extraction of gradual association rules: a heuristic based method
CSTST '08 Proceedings of the 5th international conference on Soft computing as transdisciplinary science and technology
Some methods for evaluating the optimality of elements in matroids with ill-known weights
Fuzzy Sets and Systems
Fuzzy Sets and Systems
The topological structure of fuzzy sets with endograph metric
Fuzzy Sets and Systems
An estimation model of value-at-risk portfolio under uncertainty
Fuzzy Sets and Systems
Mining Frequent Gradual Itemsets from Large Databases
IDA '09 Proceedings of the 8th International Symposium on Intelligent Data Analysis: Advances in Intelligent Data Analysis VIII
Possibilistic information fusion using maximal coherent subsets
IEEE Transactions on Fuzzy Systems
The return policy model with fuzzy demands and asymmetric information
Applied Soft Computing
Gradualness, uncertainty and bipolarity: Making sense of fuzzy sets
Fuzzy Sets and Systems
On a non-nested level-based representation of fuzziness
Fuzzy Sets and Systems
A formal model for mining fuzzy rules using the RL representation theory
Information Sciences: an International Journal
RL-bags: A conceptual, level-based approach to fuzzy bags
Fuzzy Sets and Systems
Characterizations and applications of M-fuzzifying matroids
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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The notion of a fuzzy set stems from considering sets where, in the words of Zadeh, the “transition from non-membership to membership is gradual rather than abrupt”. This paper introduces a new concept in fuzzy set theory, that of a gradual element. It embodies the idea of fuzziness only, thus contributing to the distinction between fuzziness and imprecision. A gradual element is to an element of a set what a fuzzy set is to a set. A gradual element is as precise as an element, but the former is flexible while the latter is fixed. The gradual nature of an element may express the idea that the choice of this element depends on a parameter expressing some relevance or describing some concept. Applications of this notion to fuzzy cardinality, fuzzy interval analysis, fuzzy optimization, and defuzzification principles are outlined.