Approximate Reasoning in Fuzzy Resolution


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 AB and by some mechanism. In inverse approximate reasoning, we conclude from AB 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 tollenscan be used to derive a resolution—like inference pattern in fuzzy logic. The proposal is well-illustrated with artificial examples.

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B. Mondal and S. Raha, "Approximate Reasoning in Fuzzy Resolution," International Journal of Intelligence Science, Vol. 3 No. 2, 2013, pp. 86-98. doi: 10.4236/ijis.2013.32010.

Conflicts of Interest

The authors declare no conflicts of interest.


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