Affiliations: [a]
Department of Mathematics, University College of Engineering, Nagercoil, Tamilnadu, India
| [b]
Department of Mathematics, Faculty of Science and Arts, Yozgat Bozok University, Yozgat, Turkey
Correspondence:
[*]
Corresponding author. S. Petchimuthu, Department of Mathematics, University College of Engineering, Nagercoil-629004, Tamilnadu, India. E-mail: svmuthu1983@gmail.com.
Abstract: In this paper, we first describe the inverse soft matrices corresponding to the inverse soft sets over both the universal set and the parameter set. For these matrices, we derive some row-products such as And, Or and some column-products such as If, Iff. As an endeavor to find the authentic-life applications of these products in multicriteria decision making (MCDM) through inverse soft matrices, we propose two decision making methods called inverse soft distributive sum-max decision making method (ISDSMDM) and inverse soft distributive If-sum decision making method (ISDISDM). The ISDSMDM aims to obtain a solution for the MCDM problem based on the inverse soft structures consisting of multi-disjoint parameter sets and the common universal set. The ISDISDM focuses on the optimal choice for MCDM problem based on the inverse soft structures consisting of multi-disjoint parameter sets and two discrete universal sets. Also, we present the outstanding applications of these methods. In integration, we give Scilab codes of our algorithms to perform the decision making process expeditiously.
Keywords: Soft set, inverse soft set, inverse soft matrix, products of inverse soft
matrices, multicriteria decision making
