Re: Analogical reasoning with similarity measures


Subject: Re: Analogical reasoning with similarity measures
From: Dionis Boixader (boixader@ea.upc.es)
Date: Fri Oct 06 2000 - 18:35:39 MET DST


:

> En/Na Chris Cornelis ha escrit:
>
> > Hello,
> >
> > For my Ph.D. I am investigating the use of similarity measures in
> > the inference step in fuzzy control/fuzzy expert systems. Starting from a
> > rule
> >
> > if X is A then Y is B
> >
> > and an instance of data
> >
> > X is A'
> >
> > the object is to assess the similarity of A and A', on the basis of which
> > we try to find a convenient modification B' of the consequence B
> > ("reasoning by analogy", proposed by Turksen and Zhong).
> >
> > Does anybody know of any realistic implementations of this alternative to
> > Zadeh's compositional rule of inference? Or, perhaps has done
> > research/can give references on the suitability of certain similarity
> > measures for this specific issue?
> >
> > Thanks in advance,
> >
> > Chris Cornelis
> > Fuzziness and uncertainty modelling research unit
> > University of Ghent, Belgium
> >
>
> Hello, Chris.
> I think this topic is one of the most revisited ones in our field. I worked on it
> in my PhD and what it happened to me was that I found many things were already
> done. I'll bring some references to help you to avoid this kind of nasty
> surprises. There must be lots of references that I don't know yet, so I wuold be
> very happy if you or somebody else could bring some more.
>
> Papers matching the idea you expose above:
>
> Boixader & Jacas (1998)
> Extensionality based approximate reasoning
> Int. J. Approximate Reasoning vol 19 num 3-4 pg 221-230
>
> Boixader & Jacas (1998)
> Indistinguishability operators and Approximate Reasoning via CRI
> in Fuzzy Sets, Logics and Knowledge Based Reasoning pg 277-290
> Dubois, Prade & Klement eds.
> Kluwer
>
> Bouchon-Meunier, Valverde (1994)
> Analogical Reasoning and Fuzzy Resemblance
> Uncertainty in Intelligent Systems
> Bouchon-Meunier et al. eds.
> Elsevier Science Pub.
>
> Godo, Jacas & Valverde (1991)
> Fuzzy values in fuzzy logic
>
> Kokzy & Hirota (1993)
> Approximate Reasoning by linear rule interpolation and general approximation
> Int. J. Approximate Reasoning 9, 197-225
>
> Magrez & Smets (1989)
> Fuzzy Modus Ponens: A New Model Suitable for Applications in Knowledge Based
> Systems
> Int. J. Intelligent Systems, Vol.4, 181-200
>
> Papers related to the idea you expose above:
>
> Bouchon-Meunier, Rifqi & Bothorel (1996)
> General Measures of Comparation of Objects
> Fuzzy Sets and Systems 84, 143-153
>
> Dubois, Esteva, Garcia, Godo & Prade (1997)
> A logical approach to interpolation based on similarity relations
> Int.J.Approximate Reasoning 17, 1-36
>
> Dubois & Prade
> Similarity based approximate reasoning(1994)
> Computational Intelligence Imitating Life
> Zurada, Marles & Robinson eds.
> IEEE press, New York.
>
> Dubois & Prade
> What are fuzzy rules and how to use them
> Fuzzy Sets and Systems 84, 169-185
>
> Esteva, Garcia & Godo (1994)
> Relating and extending semantical approaches to possibilistic reasoning
> Int.J.Approximate Reasoning 10, 311-344
>
> Godo, Jacas & Valverde (1991)
> Fuzzy values in fuzzy logic.
> Int. J. Intelligent Systems vol6, 199-212
>
> Klawonn & Castro (1995)
> Similarity in Fuzzy Reasoning
> Mathware & Soft Computing 2, 197-228
>
> Klawonn & Kruse(1993)
> Equality Relations as a basis for fuzzy control
> Fuzzy Sets and Systems 54, 147-156
>
> Zwick, Carlstein & Budescu (1987)
> Measures of similarity between fuzzy concepts: A comparative analysis
> Int.J.Approx. Reasoning 1
>
> Furthermore, note that also papers on Case Based Reasoning in the setting of
> Fuzzy Logic might contain information related to the analogical reasoning pattern
> you are interested on.
>
> And finally, don't forget the mother of all refernces in the topic:
>
> Hume(1748)
> An inquiry concerning human understanding
> 'from causes which appear similar, we expect similar effects.This is the sum of
> all our experimental conclusions'

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