A novel uncertainty representation framework is introduced based on the inter-linkage between the inherent fuzziness and the agent’s confusion in its representation. The measure of fuzziness and this confusion is considered to be directly related to the lack of distinction between membership and non-membership grades. We term the proposed structure as confidence fuzzy set (CFS). It is further generalized as generalized CFS, quasi CFS and interval-valued CFS to take into consideration the DM’s individualistic bias in the representation of the underlying fuzziness. The operations on CFSs are investigated. The usefulness of CFS in multi-criteria decision making is discussed, and a real application in supplier selection is included.

基于固有的模糊性与主体在其表示中的困惑之间的相互联系，提出了一种新颖的不确定性表示框架。模糊性的度量和这种混淆被认为直接与会员等级和非会员等级之间缺乏区别直接相关。我们将提出的结构称为置信模糊集（CFS）。进一步将其概括为广义CFS，准CFS和区间值CFS，以在表示基本模糊性时考虑DM的个人主义偏见。对CFS的操作进行了调查。讨论了CFS在多准则决策中的有用性，并包括了在供应商选择中的实际应用。