A social choice approach to graded soft sets

Abstract

We establish a correspondence between ideas from soft computing and social choice. This connection permits to draw bridges between choice mechanisms in both frameworks. We prove that both Soft sets and the novel concept of Graded soft sets can be faithfully represented by well-established voting situations in Social Choice. To be precise, their decision making mechanism by choice values coincides with approval voting and the Borda rule respectively. This analysis lays the basis for new insights into soft-set-inspired decision making with a social choice foundation.