1. Institute of Mathematics,Shaanxi Normal University,Xi'an,Shaanxi 710062,China;2. Research Center for Science,Xi'an Jiaotong University,Xi'an,Shaanxi 710049,China;3. Xi'an HiTech Institute,Xi'an,Shaanxi 710025,China
Abstract：The concept of proposition induced functions is proposed in the present paper,then the concept of truth degrees is introduced by means of infinite propduct of evenly distributed probability spaces and integrated semantics respectively w.r.t.discrete and continuous situations.Next,a graded approximate reasoning theory is established.Finally,theory of consistency degrees of finite theories is also proposed.
2006, Vol. 34 
