Strait and Product Operations on Strait Soft Sets and their Reduced Soft Matrices with Decision Making Applications

Abstract

In this study, firstly, a new soft set type, common image strait soft sets, which has a special place in the strait soft set structure, is introduced. Common image strait soft sets are strait soft sets whose image is the same partition set of a universal set. A new operation, Strait AND product is defined on both common image strait soft sets and their reduced soft matrices. A multi-criteria group decision-making (MCGDM) problem on performance analysis is described, and a decision-making algorithm is proposed to solve this type of problem, using the Strait AND product of reduced soft matrices of common image strait soft sets. Then the operation Strait AND product defined for common image strait soft sets is generalized for arbitrary strait soft sets. A decision-making algorithm is proposed using the Strait AND product of reduced matrices of arbitrary strait soft sets, and an MCGDM problem is created on market analysis to determine the effect of battery quality of electric cars on sales volume. The validity, advantages and disadvantages of the decision-making method presented in this study are discussed in comparison with the solution of a multi-attribute decision-making (MADM) problem. ©