Correlation Coefficients of Interval-Valued Hesitant Fuzzy Sets and Their Application Based on the Shapley Function

摘要: Interval-valued hesitant fuzzy sets permit the membership degree of an element to have several possible interval values in [0, 1] rather than real numbers, which can well deal with inherent hesitancy and uncertainty human decision-making process. In this paper, we first point out issue existing correlation coefficients interval-valued then define new ones, do not consider lengths elements arrangement their values. Since assumption that a set are independent is usually violated, further Shapley weighted coefficients, interactions. To situations where correlative weight formation incompletely known, models for optimal measures on feature attribute established, respectively. Finally, procedure pattern recognition multiattribute decision making incomplete information interactive conditions developed. Meanwhile, corresponding examples provided show practicality feasibility proposed procedures.