Van Melle's combining function in MYCIN is a representable uninorm: An alternative proof

Bernard De Baets, János Fodor

Research output: Contribution to journalArticle

67 Citations (Scopus)

Abstract

Recently, Tsadiras and Margaritis have shown that the function implemented in the expert system MYCIN for combining certainty factors is a uninorm. In this paper, we present a compact alternative to the given direct and lengthy proof, based on the construction of representable uninorms by means of an additive generator. Consequently, we show that van Melle's combining function is a representable uninorm. In fact, it is a rescaled version of the representable uninorm on the unit interval constructed from the algebraic product and the probabilistic sum.

Original languageEnglish
Pages (from-to)133-136
Number of pages4
JournalFuzzy Sets and Systems
Volume104
Issue number1
DOIs
Publication statusPublished - May 16 1999

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Keywords

  • Additive generator
  • Certainty factor
  • Representable uninorm

ASJC Scopus subject areas

  • Logic
  • Artificial Intelligence

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