OWA aggregation operators and multi-agent decisions with N-soft sets

Abstract

[EN] This work improves the theoretical basis of 𝑁-soft sets and insists on their practical applications in a multiagent context. 𝑁-soft sets characterize the alternatives in terms of multinary descriptions by attributes. We argue that unlike the basic example of soft set theory, 𝑁-soft sets are amenable to various interesting approaches in relation to aggregation. However the literature has not provided mechanisms for the aggregation of 𝑁-soft sets. And there exists no multi-agent decision making procedure based on 𝑁-soft sets either. Therefore, the goal of this work is twofold. We present a novel theory of aggregation of 𝑁-soft sets. The fundamental tools for this purpose are OWA operators. We produce the first scores of alternatives defined by multi-agent, multinary evaluations. Then we apply this theory to multi-agent decision-making. In this way we produce the first algorithms for multi-agent decisions based on 𝑁-soft sets. We support our findings with real examples that illustrate the application and versatility of these flexible approaches.