Majority multiplicative ordered weighting geometric operators and their use in the aggregation of multiplicative preference relations

• Autores: José Ignacio Peláez Sánchez, Jesús María Doña Fernández, A. Mesas
• Localización: Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology, ISSN-e 1134-5632, Vol. 12, Nº. 2, 2005, págs. 107-120
• Idioma: inglés
• Títulos paralelos:
  • Operadores MM-OWG y su uso en la agregación de relaciones de preferencia multiplicativas
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• Dialnet Métricas: 1 Cita
• Resumen

  • In this paper, we introduced the majority multiplicative ordered weighted geometric (MM-OWG) operator and its properties. This is a general type of the aggregate dependent weights which we have applied in geometric environment. The MM-OWG operator is based on the OWG operators and on the majority operators. We provide the MM-OWG operators to aggregate in a multiplicative environment, i.e. when it's necessary to aggregate information given on a ratio scale. Therefore, it allows us to incorporate the concept of majority in problems where the information is provided using a ratio scale. Its properties are studied and an application for multicriteria decision making problems with multiplicative preference relations is presented.