In the real world, it is not always true that neighboring houses are physically adjacent or close to each other. In other words, ``neighbors'' are not always ``true neighbors''. I will talk about a new proposed Self-Organizing Map (SOM) algorithm, SOM with False-Neighbor degree between neurons (called FN-SOM). The behavior of FN-SOM is investigated with learning for various input data. I will explain that FN-SOM can obtain a more effective map reflecting the distribution state of input data than the conventional SOM and Growing Grid.