In academic societies, it is essential to measure the efficiency of the researchers, scientists, institutions, departments, and universities by using a standard method that depends on their publications and citations. This work is devoted to constructing a new index that can measure the quality of the publications of any source mentioned above. The main goal of this new index is to fix the shortcoming of the current indices, such as the well-known h-index. Thus, we assumed a new index that is very sensitive to any change in the total number of publications, the total number of citations, and citations of each publication. The new index is called HY-index, is more sensitive to any change in the publications or the citations. The suggested data of the two authors have been discussed with various situations by using HY-index. This index has been applied to the authors of the recent paper as a real study case by using their data from SCOPUS.