Attribute Reduction Of Intuitionistic Fuzzy Random Information System

The rough set theory as mathematical tool is of great importance, which deals with information of inaccuracy, uncertain and imperfect. Uncertainty can be roughly divided into the randomness, fuzziness, and rough set. Infect, however, there are always several types existing in it at the same time, which trigger the study of the scholars, especially the dual uncertainty. Not only an increasing number of literature survey the fuzzy random and fuzzy rough theory, but also some significant conclusions has be abtained. This paper makes a generalization of fuzzy sets to intuitionistic fuzzy sets and interval intuitionistic fuzzy sets.Intuitionistic fuzzy random variables and interval intuitionistic fuzzy random variable has beed introduced to information system. As a conclusion, intuitionistic fuzzy random information system model and the interval intuitionistic fuzzy random information model has been constructed. The details as follows:(1) The concept of intuitionistic fuzzy random information system is introduced. This paper establishes intuitionistic fuzzy random information system model. Meanwhile,with giving dependent-expectation relation, its attribute value is discussed. Furthermore,the method of dependent-expectation coordination set and reduction set are provided. Finally, by an example the algorithm analysis is carried out.(2) Based on the decision information system, intuition fuzzy random variable is introduced; in addition, it defines the intuitionistic fuzzy random decision information system.On the other hand, to the question of attribute reduction, generalizing the concept of random to intuitionistic fuzzy decision model, this paper defines the dependent-expectation relation.The problem of attribute reduction and judgment in intuitionistic Fuzzy random information system are studied. Finally, with an example, analysis the effectiveness of the method.(3) The information system, under discussion, of interval intuitionistic fuzzy random variable is introduced and the random variable is described. Base on similarity measure among interval intuitionistic fuzzy sets, this paper defined its dependent-expectation relation.Furthermore, the method of judging theorem of interval intuitionistic fuzzy random coordinate set and dependent-expectation relation set. Finally, a practical example is given todemonstrate the feasibility of the method.