Proceedings of the Korean Institute of Intelligent Systems Conference (한국지능시스템학회:학술대회논문집)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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MULTISET-VALUED IMAGES OF FUZZY SETS

  • Sadaaki MIYAMOTO (Institute of Information Science and Electronics University of Tsukuba) ;
  • Kim, Kyung-Soo (Doctoral Program in Engineering University of Tsukuba)
  • Published : 1998.06.01
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Abstract

An image of a set that produces a multiset from an ordinary set and its extension to fuzzy multisets is considered. For each input element, its image is added to the output regardless whether or not there already exists the same image in the output. theoretical properties such as commutativity of the image with $\alpha$-cut or multiset addition are proved. Generalization to the image by multivariable functions is moreover defined.

Keywords