Fuzzy rough sets are intuitionistic L-fuzzy sets
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Dual interval model and its application to decision making
IFSA'03 Proceedings of the 10th international fuzzy systems association World Congress conference on Fuzzy sets and systems
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Probability measures are well-defined ones that satisfy additivity. However, it is slightly tight because of its condition of additivity. Fuzzy measures that do not satisfy additivity have been proposed as the substitute measures.The only belief function involves a density function among them. In this paper, we propose two density functions by extending values of probability functions to interval values, which do not satisfy additivity. According to the definition of interval probability functions, lower and upper probabilities are defined, respectively. A combination rule and a conditional probability can be defined well. The properties of the proposed measure are clarified.