The row-products of inverse soft matrices in multicriteria decision making


Petchimuthu S., Kamaci H.

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, vol.36, no.6, pp.6425-6441, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 36 Issue: 6
  • Publication Date: 2019
  • Doi Number: 10.3233/jifs-182709
  • Journal Name: JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.6425-6441
  • Keywords: Soft set, inverse soft set, inverse soft matrix, products of inverse soft matrices, multicriteria decision making, SET-THEORY
  • Yozgat Bozok University Affiliated: Yes

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.