Fuzzy Preference Modelling and Multicriteria Decision Support
Main description:
This book provides in-depth coverage of the most important results
about fuzzy logic including negations, conjunctions, disjunctions,
implications and gives the interrelations between those different
connectives. The work brings together multiple results about valued
binary relations satisfying diverse transitivity-type conditions.
The authors propose the first sound introduction to valued
preference modelling through the systematic use of fuzzy set theory
and functional equations and derive the possible foundations for
multicriteria decision aid using aggregation, ranking and choice
procedures on the basis of axiomatic results. The text presents a
unified view of various multicriteria decision making tools that
have been independently derived in the past, dealing with pairwise
comparisons. The monograph is mathematically oriented but the
results will be of the greatest interest for engineers and
economists who design and implement decision support systems in
practice. It is also supplied with a sufficient number of examples
to make it attractive to nonspecialists.