On Identity-Discrepancy-Contrary Connection Degree in SPA and Its Applications

摘要

As a kind of new uncertainty theory, the set pair analysis (SPA) re- searches certainties and uncertainties from the whole. The main idea of SPA is: (1) Every system is comprised of certainty knowledge and uncertainty knowl-edge; (2) Certainties and uncertainties are inter-related, inter-influenced, inter-restricted, and inter-transformed even under certain condition, in every system; (3) A computation formula (identity-discrepancy-contrary (IDC) connection degree formula) which can embody the above idea fully is used to depict uni-formly all kinds of uncertainties such as fuzzy uncertainty, random uncertainty, indeterminate-known uncertainty, unknown and unexpected incident uncer-tainty, and uncertainty which is resulted from imperfective information. This paper introduces the concepts and provides the applications of IDC connection degree and IDC connection number in SPA.