Influence model and doubly extended TOPSIS with TOPSIS based matrix of interpersonal influences

Abstract

The aim of this paper is to construct a matrix of interpersonal influences employing TOPSIS and then to apply the matrix in influence model and doubly extended TOPSIS. Entries of that matrix are obtained from coefficients of relative closeness. Such a systematically constructed matrix performs better than the direct influence matrix because of the consideration of alternatives under certain criteria/attributes. Implementation of such influence matrix improves an influence model and group decision process. In this paper, TOPSIS is used for individual as well as group decisions. Once the decisions are reached by individuals with the help of TOPSIS, then coefficients of relative closeness are obtained and matrix of interpersonal influences is constructed. This matrix is used in influence model and to construct the influenced decision matrices. These influenced decision matrices are aggregated to get the collective decision. This strategy is based on the fact that the decisions taken by individuals affect their collective decision in future.