In this paper we introduce indeed two alternative formulations of the theory of evidence by proving that both plausibility and commonality functions share the same combinatorial structure of sum function of belief functions, and computing their Moebius inverses called basic plausibility and commonality assignments. The equivalence of the associated formulations of the ToE is mirrored by the geo...

for any group g, let c(g) denote the set of centralizers of g.we say that a group g has n centralizers (g is a cn-group) if |c(g)| = n.in this note, we prove that every finite cn-group with n ≤ 21 is soluble andthis estimate is sharp. moreover, we prove that every finite cn-group with|g| < 30n+1519 is non-nilpotent soluble. this result gives a partial answer to aconjecture raised by a. ashrafi in ...

Multiple regression is a widely used technique to study complex interrelationships among people, information, and technology. In the face of multicollinearity, researchers encounter challenges when interpreting multiple linear regression results. Although standardized function and structure coefficients provide insight into the latent variable ( ) produced, they fall short when researchers want...

Execution of workflow application usually requires powerful-giant computing and storage resources. As consequence of expansion of distributed systems, especially cloud computing systems, an appropriate context has been provided for execution of such application. The interconnection between tasks and data commonality and transfer for the completion of computing cycle has become a major challenge...

In this paper we introduce three alternative combinatorial formulations of the theory of evidence (ToE), by proving that both plausibility and commonality functions share the structure of “sum function” with belief functions. We compute their Moebius inverses, which we call basic plausibility and commonality assignments. As these results are achieved in the framework of the geometric approach t...

In this work we extend the geometric approach to the theory of evidence in order to study the geometric behavior of the two quantities inherently associated with a belief function. i.e. the plausibility and commonality functions. After introducing the analogous of the basic probability assignment for plausibilities and commonalities, we exploit it to understand the simplicial form of both plaus...

Although Case-Based Reasoning (CBR) is a natural formulation for many problems, our previous work on CBR as applied to design made it apparent that here were elements ofthe CBR paradigm that prevented it from being more widely applied. At the same time, we were evaluating Constraint Satisfaction techniques for design, and found a commonality in motivation between repair-based constraint sa isfa...