Article citationsMore>>

S. Raha, N. R. Pal and K. S. Ray, “Similarity Based Approximate Reasoning: Methodology and Application,” IEEE Transactions on Systems, Man and Cybernatics, Part A: Systems and Humans, Vol. 32, No. 4, 2002, pp. 541-547. doi:10.1109/TSMCA.2002.804787

has been cited by the following article:

• TITLE: Approximate Reasoning in Fuzzy Resolution

  AUTHORS: Banibrata Mondal, Swapan Raha

  KEYWORDS: Approximate Reasoning; Similarity Index; Similarity Based Reasoning; Resolution Principle

  JOURNAL NAME: International Journal of Intelligence Science, Vol.3 No.2, April 30, 2013

  ABSTRACT: 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.