Fuzzy Sets and Systems
Real and complex analysis, 3rd ed.
Real and complex analysis, 3rd ed.
Supremum preserving upper probabilities
Information Sciences: an International Journal
Testing statistical hypotheses with vague data
Fuzzy Sets and Systems
Fuzzy Measure Theory
Fuzzy Multiple Attribute Decision Making: Methods and Applications
Fuzzy Multiple Attribute Decision Making: Methods and Applications
Nonparametric rank-based statistics and significance tests for fuzzy data
Fuzzy Sets and Systems
Advances in Fuzzy Systems
The median of a random fuzzy number. The 1-norm distance approach
Fuzzy Sets and Systems
Some fuzzy stochastic orderings for fuzzy random variables
Fuzzy Optimization and Decision Making
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We introduce a novel linear order on every family of fuzzy numbers which satisfies the assumption that their modal values must be all different and must form a compact subset of $${\mathbb{R}}$$ . A distinct new feature is that our linear determined procedure employs the corresponding order of a class interval associated with a confidence measure which seems intuitively anticipated. It is worthy noting that although we start from an entirely different rationale, we introduce a fuzzy ordering which initially coincides with the one established earlier by Ramik and Rimanek. However, this fuzzy ordering does not apply when the supports of the fuzzy numbers overlap. In order to cover such cases we extent this initial fuzzy ordering to the "extended fuzzy order" (XFO). This new XFO method includes a possibility and a necessity measure which are compared with the widely accepted PD and NSD indices of D. Dubois and H. Prade. The comparison shows that our possibility and necessity measures comply better with our intuition.