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The topic addressed in this volume lies within the study of
sentence processing, which is one of the major divisions of
psycholinguistics. The goal has been to understand the structure
and functioning of the mental mechanisms involved in sentence
comprehension. Most of the experimental and theoretical work during
the last twenty or thirty years has focused on 'first-pass
parsing', the process of assigning structure to a sentence as its
words are encountered, one at a time, 'from left to right' . One
important guiding idea has been to delineate the processing
mechanisms by studying where they fai . For this purpose we
identify types of sentences which perceivers have trouble assigning
structure to. An important class of perceptually difficult senten
ces are those which contain temporary ambiguities. Since the
parsing mechanism cannot tell what the intended structure is, it
may make an incorrect guess. Then later on in the sentence, the
structure assignment process breaks down, because the later words
do not fit with the incorrect structural analysis. This is called a
'garden path' situation. When it occurs, the parsing mechanism must
somehow correct itself, and find a different analysis which is
compatible with the incoming words. This reanalysis process is the
subject of the research reported here.
The encounter, in the late seventies, between the theory of
triangular norms, issuing frorn stochastic geornetry, especially
the works of Menger, Schweizer and Sklar, on the one band, and the
theory of fuzzy sets due to Zadeh, 10n the other band has been very
fruitful. Triangular norms have proved to be ready-rnade
mathematical rnodels of fuzzy set intersections and have shed light
on the algebraic foundations of fuzzy sets. One basic idea behind
the study of triangular norms is to solve functional equations that
stern frorn prescribed axioms describing algebraic properties such
as associativity. Alternative operations such as rneans have been
characterized in a similar way by Kolmogorov, for instance, and the
rnethods for solving functional equations are now weil established
thanks to the efforts of Aczel, among others. One can say without
overstaternent that the introduction of triangular norms in fuzzy
sets has strongly influenced further developrnents in fuzzy set
theory, and has significantly contributed to its better acceptance
in pure and applied rnathematics circles. The book by Fodor and
Roubens systematically exploits the benefits of this encounter in
the- analysis of fuzzy relations. The authors apply functional
equation rnethods to notions such as equivalence relations, and
various kinds of orderings, for the purpose of preference
rnodelling. Centtal to this book is the rnultivalued extension of
the well-known result claiming that any relation expressing weak
preference can be separated into three cornponents respectively
describing strict preference, indifference and incomparability.
The encounter, in the late seventies, between the theory of
triangular norms, issuing frorn stochastic geornetry, especially
the works of Menger, Schweizer and Sklar, on the one band, and the
theory of fuzzy sets due to Zadeh, 10n the other band has been very
fruitful. Triangular norms have proved to be ready-rnade
mathematical rnodels of fuzzy set intersections and have shed light
on the algebraic foundations of fuzzy sets. One basic idea behind
the study of triangular norms is to solve functional equations that
stern frorn prescribed axioms describing algebraic properties such
as associativity. Alternative operations such as rneans have been
characterized in a similar way by Kolmogorov, for instance, and the
rnethods for solving functional equations are now weil established
thanks to the efforts of Aczel, among others. One can say without
overstaternent that the introduction of triangular norms in fuzzy
sets has strongly influenced further developrnents in fuzzy set
theory, and has significantly contributed to its better acceptance
in pure and applied rnathematics circles. The book by Fodor and
Roubens systematically exploits the benefits of this encounter in
the- analysis of fuzzy relations. The authors apply functional
equation rnethods to notions such as equivalence relations, and
various kinds of orderings, for the purpose of preference
rnodelling. Centtal to this book is the rnultivalued extension of
the well-known result claiming that any relation expressing weak
preference can be separated into three cornponents respectively
describing strict preference, indifference and incomparability.
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