Triangular fuzzy soft set and its application in MADM

The purpose of this paper is to extend the classical soft set to triangular fuzzy soft set (TFSS) based on triangular fuzzy numbers (TFNs). In uncertain environment, TFNs have an important role for converting linguistic information into numerical values. This study firstly converts the multi-fuzzy soft set (MFSS) into fuzzy soft set (FSS) using the attribute weight information. We use TFN to convert the FSS into TFSS. This study defines some useful operations and properties of TFSSs. We also propose an algorithmic approach for multiple attribute decision making (MADM) problem based on MFSS and TFSS. Finally, a numerical example has been demonstrated to validate the proposed approach.