An Advanced Study on Operations of Connection Number Based on Set Pair Analysis

Set pair analysis (SPA) is an updated uncertainty theory to study both certainty and uncertainty as one certain-uncertain system. The main principal of SPA is to analyze the feature and construct a connection degree to them. To address it, this paper presents some generalized operations such as addition, subtraction, multiplication, and division on connection numbers along with their properties. Finally, discussion on drawbacks of existing operations is introduced to show the practical and theoretical significance of the proposed operations.