Aggregation of bounded fuzzy natural number-valued multisets

  • Authors:
  • Jaume Casasnovas;J. Vicente Riera

  • Affiliations:
  • University of Balearic Islands, Palma de Mallorca, Spain;University of Balearic Islands, Palma de Mallorca, Spain

  • Venue:
  • MDAI'10 Proceedings of the 7th international conference on Modeling decisions for artificial intelligence
  • Year:
  • 2010

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Abstract

Multisets (also called bags) are like-structures where an element can appear more than once. Recently, several generalizations of this concept have been studied. In this article we deal with a new extension of this concept, the bounded fuzzy natural number-valued multisets. On this kind of bags, a bounded distributive lattice structure is presented and a partial order is defined. Moreover, we study operations of aggregations (t-norms and t-conorms) and we provide two methods for their construction.