Background <p>Much attention has been paid to the breast cancer seen in the diagnostic images. Breast cancers can be of different&#xa0;types or a combination of invasive and in situ cancer. Since breast tumors are grown increasingly compared to other types of tumors, quantitative appraisal using non-invasive imaging techniques like magnetic resonance imaging (MRI) is extensively utilized in the medical field.</p> Methods <p>Here, a new function is proposed that uses distinct mathematical relations on the relaxation times in MRI and in which the new maps are created by introducing a unique index.&#xa0;In our study, Transverse-longitudinal function (TLF) was defined as a combination of three parameters: T1, T2, and alpha, which can be zero for a certain alpha. When plotting the TLF, a maximum value is obtained, which we defined as a percentage of the maximum width at x value. Then, by taking the inverse of the TLF,&#xa0;an interval called FWxM was obtained. In other words, this parameter is the difference between two alpha-stars of minimum and maximum.&#xa0;Changing x value also changes the maximum and minimum alpha-star values, so we have a specific FWxM parameter for each pixel of the image. When this parameter was calculated for the entire image, a FWxM was consequently obtained for the entire image.</p> Results <p>By calculating the SNR, more details in the whole breast image become more clearly visible, and as the x value increases towards 1,&#xa0;the details of healthy and tumor areas are simultaneously better displayed. The SNR amount increased from 19.37 towards 31.24 for x = 1 and 0.01, respectively.</p> Conclusions <p>Overall, the maps were able to display breast structures alongside further details at greater x values.</p> Graphical Abstract <p></p>