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  • 标题:Approximate Reasoning in Fuzzy Resolution
  • 本地全文:下载
  • 作者:Banibrata Mondal ; Swapan Raha
  • 期刊名称:International Journal of Intelligence Science
  • 印刷版ISSN:2163-0283
  • 电子版ISSN:2163-0356
  • 出版年度:2013
  • 卷号:3
  • 期号:2
  • 页码:86-98
  • DOI:10.4236/ijis.2013.32010
  • 出版社:Scientific Research Publishing
  • 摘要:Resolution is an useful tool for mechanical theorem proving in modelling the refutation proof procedure, which is mostly used in constructing a “proof” of a “theorem”. An attempt is made to utilize approximate reasoning methodology in fuzzy resolution. Approximate reasoning is a methodology which can deduce a specific information from general knowledge and specific observation. It is dependent on the form of general knowledge and the corresponding deductive mechanism. In ordinary approximate reasoning, we derive  from A→B and  by some mechanism. In inverse approximate reasoning, we conclude  from A→B and  using an altogether different mechanism. An important observation is that similarity is inherent in fuzzy set theory. In approximate reasoning methodology-similarity relation is used in fuzzification while, similarity measure is used in fuzzy inference mechanism. This research proposes that similarity based approximate reasoning-modelling generalised modus ponens/generalised modus tollens—can be used to derive a resolution—like inference pattern in fuzzy logic. The proposal is well-illustrated with artificial examples.
  • 关键词:Approximate Reasoning; Similarity Index; Similarity Based Reasoning; Resolution Principle
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