Application of Picture Fuzzy Soft Relations in Multi- altribute Decision Making

Authors

P. Jayaraman, Assistant Professor
Department of Applied Mathematics, Bharathiar University, Coimbatore – 641 046, India.
K. Vetrikkani, Research Scholar
Department of Applied Mathematics, Bharathiar University, Coimbatore – 641 046, India.
A. Selvakumar, Research Scholar
Department of Applied Mathematics, Bharathiar University, Coimbatore – 641 046, India.
R. Nagarajan, Associate professor
J.J. college of Enginearing & Technology Department of Mathematics, Trichrappalli 620009, India.

Abstract

In this paper, we rst dene picture fuzzy soft sets (PFSS) and study some of their relevant operations such as subset, equal, complement, AND,OR… and so on. we investigate some theorems on picture fuzzy soft sets based on union and intersection with counter examples. Also we proved a necessary and sufficient condition for the dual laws of PFSS theory. Finaly, we then introduce an algorithum based on relational picture fuzzy soft matrix to solve decision making problems.