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Algebraic models and mv-algebras for fuzzy reasoning
This special issue moves from the last trends of mathematical research in
fuzzy logic from its unlimited ground of applications, especially in the field
of many-valued reasoning. It is well known that fuzzy logic is the logic of
the "vague" concepts; its enormous success stands principally in the applicational
aspects, minor progress must be noted in its mathematical fundaments.
Since 1986 the MV-Algebras of the sentential calculus of Lukasiewicz seems to
be a powerful tool to develop a serious well-founded algebraic calculus of fuzzy
set theory, just like Boolean algebras do for classical set theory. The collection
of papers here presented covers a wide spectrum of applications of these algebras
to the fuzzy set theory and conversely, that is usual topics dealt in fuzzy
environment are read from an "MV-point of view". This is possible because
the usual fuzzy algebra [0,1] x of the fuzzy set from a referential set X into
[0,1] is seen as an MV-algebra. Then popular fuzzy arguments like triangular
norms, fuzzy probability, fuzzy inference, etc. find a better logical collocation
in this new context and of course are redefined and rediscussed. The papers of
S. Ray and S. Sessa, C.S. Hoo, V. Novak, G. Georgescu and I. Leustean, M.
Chakraborty and J. Sen, C.A. Drossos and P. Karazeris go along these streams
of investigation. We remind the interested fuzzists to the mentioned authors for
a deeper and careful reading. The remaining papers of H.T. Nguyen et al., R.S.
So16 et al., L. Di Lascio et al. cover other and different interesting arguments
useful in approximate reasoning. Strictly speaking, these authors, respectively,
show "how" to approximate a continuous t-norm by a strict Archimedean tnorm,
"how" to build possibilistic networks for the management of imprecision
coming from data and "how" to fuzzify the user's behavior during the navigation
in a hypermedia system. Here "how" can be understood as the
synonym of "algebraic model" (to a certain extent). Thanks are due to Piero
Bonissone for his availability to consent the publication of this special issue
Architettura di un Sistema Esperto in Prolog
In questo lavoro è presentato uno Shell di Sistema Esperto capace di gestire conoscenza incompleta e di operare sia con ragionamento backward che forward. Questo sistema non produce risposte ma soluzioni dettagliate. Le componenti del sistema esperto trattato si riferiscono al modulo generatore delle inferenze ed un modulo di rilevamento di informazioni mancanti. L'ambiente di sviluppo utilizzato è il Prolog
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