Alzheimer's disease International estimates that more than 35 million people worldwide are living with Alzheimer's disease or a related dementia. Patients with the disease at an early stage need regular checkups to monitor their care needs or problems that may arise, such as the development of confusion and loss of short term memory among others. Most of the time the person with the dementia has support provided by family or experts, in some cases not always need to be aware of the person, it depends on the degree of dementia suffered by the person but in all cases when the dementia occurs immediate attention is required. The objective of this paper is to present a fuzzy logic model system that allows granting a balance between independence and safety in an intelligent environment for monitoring and carefulness of people with Alzheimer. This model reacts according to the data that already have and those receiving throughout the process. The parameters and information considered by the model include activities, time spent in an area, when the person enters on a state of wandering, repetitive actions (perseverance) and displacement in the environment.