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

[EN] This work improves the theoretical basis of -soft sets and insists on their practical applications in a multiagent context. -soft sets characterize the alternatives in terms of multinary descriptions by attributes. We argue that unlike the basic example of soft set theory, -soft sets are amenab...

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Detalles Bibliográficos
Autores: Alcantud, José Carlos R., Santos-García, Gustavo, Akram, Muhammad
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Institución:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/159457
Acceso en línea:http://hdl.handle.net/10366/159457
Access Level:acceso abierto
Palabra clave:OWA operator
Aggregation operator
N-soft set
Score
Decision making
Soft computing
5308 Economía General
Descripción
Sumario:[EN] This work improves the theoretical basis of -soft sets and insists on their practical applications in a multiagent context. -soft sets characterize the alternatives in terms of multinary descriptions by attributes. We argue that unlike the basic example of soft set theory, -soft sets are amenable to various interesting approaches in relation to aggregation. However the literature has not provided mechanisms for the aggregation of -soft sets. And there exists no multi-agent decision making procedure based on -soft sets either. Therefore, the goal of this work is twofold. We present a novel theory of aggregation of -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 -soft sets. We support our findings with real examples that illustrate the application and versatility of these flexible approaches.