Consider the class of experimental situations where there are n possible stimulus presentations and n possible responses and there is an expelimenter-defined one-one stimulus-response mapping. Then a confusion matrix is a table with the following properties: The stimuli are given row identification such that the cell entries are conditional frequencies that the column response is made to the ro...

Let F be a surface and suppose that φ : F →F is a pseudo-Anosov homeomorphism, fixing a puncture p of F . The mapping torus M =Mφ is hyperbolic and contains a maximal cusp C about the puncture p. We show that the area (and height) of the cusp torus ∂C is equal to the stable translation distance of φ acting on the arc complex A(F,p), up to an explicitly bounded multiplicative error. Our proof re...

The aim of this paper is to study the integration of multiplicative preference relation as a preference representation structure in fuzzy multipurpose decision-making problems. Assuming fuzzy multipurpose decision-making problems under di4erent preference representation structures (ordering, utilities and fuzzy preference relations) and using the fuzzy preference relations as uniform representa...

In this paper, we establish integral inequalities of Hermite-Hadamard type for multiplicativelys-preinvex functions. We also obtain some new inequalities involving multiplicative integralsby using some properties of multiplicatively s-preinvex and preinvex functions.

In this paper, we first derive some results by using the Gelfand spectrum and spectrum in FLM algebras. Then, the characterizations of multiplicative linear mappings are also discussed in these algebras.