Credibility Factors Reasoning Based on Linguistic Truth-Valued Intuitionistic Fuzzy Hesitancy Degree

摘要

To process fuzziness and incomparability associated with human's intelligent activities in the real world, a method of credibility factors reasoning based on linguistic truth-valued intuitionistic fuzzy hesitancy degree is proposed. Based on linguistic truth-valued intuitionistic fuzzy algebra (LTV-IFA), the concepts and properties of the linguistic-valued truth credibility degree (LVTCD) and its inverse operator are discussed. The model and algorithm of credibility factors reasoning based on linguistic truth-valued intuitionistic fuzzy hesitancy degree are given. The method can express not only positive evidence, negative evidence and hesitancy evidence at the same time, but both comparable and incomparable information as well. The reasoning method is applied to an example about car brand selection, with specific example to illustrate the soundness and validity of the method.