Some mathematical structures for computational information

摘要: Abstract This paper is about the basic underlying mathematical structures of various types imprecise information. Set theory and probability measures are ingredients in extracting some specific type information reasoning with uncertain knowledge. But this era technology, it desirable to consider also more complex information, for example, coming from human perception (see e.g., L.A. Zadeh, IEEE Trans. Circuits Systems 45 (1) (1999) 105–119). As a first approximation, classical could be generalized adequately model new such, we will describe four non-classical sets, namely random rough conditional sets fuzzy , as well their associated non-additive .