Ebook: Fuzzy Preference Modelling and Multicriteria Decision Support

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.

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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.

Content:
Front Matter....Pages i-xvi
Fuzzy logical connectives....Pages 1-36
Valued binary relations....Pages 37-69
Valued preference modelling....Pages 71-84
Similarity relations and valued orders....Pages 85-105
Aggregation operations....Pages 107-147
Ranking procedures....Pages 149-173
Multiple criteria decision making....Pages 175-227
Summary, perspectives and open problems....Pages 229-238
Back Matter....Pages 239-256

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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.

Content:
Front Matter....Pages i-xvi
Fuzzy logical connectives....Pages 1-36
Valued binary relations....Pages 37-69
Valued preference modelling....Pages 71-84
Similarity relations and valued orders....Pages 85-105
Aggregation operations....Pages 107-147
Ranking procedures....Pages 149-173
Multiple criteria decision making....Pages 175-227
Summary, perspectives and open problems....Pages 229-238
Back Matter....Pages 239-256
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