A lattice-valued linguistic-based decision making method

The subject of this work is to establish a mathematical framework that provides the basis and tool for synthesis and evaluation analysis in decision making, especially from the logic point of view. This paper focuses on a flexible and realistic approach, i.e., the use of linguistic assessment in dec...

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Bibliographic Details
Published in2005 IEEE International Conference on Granular Computing : Beijing, China, July 25-27, 2005 Vol. 1; pp. 199 - 202 Vol. 1
Main Authors Liu, J., Yang Xu, Da Ruan, Martinez, L.
Format Conference Proceeding
LanguageEnglish
Published IEEE 2005
Subjects
Abstract algebra
Aggregates
Decision making
Fuzzy logic
Fuzzy sets
Information analysis
lattice
Lattices
Mathematics
Multivalued logic
Natural languages
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ISBN0780390172
9780780390171
DOI10.1109/GRC.2005.1547266

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Summary:The subject of this work is to establish a mathematical framework that provides the basis and tool for synthesis and evaluation analysis in decision making, especially from the logic point of view. This paper focuses on a flexible and realistic approach, i.e., the use of linguistic assessment in decision making, specially, the symbolic approach acts by direct computation on linguistic values. A lattice-valued linguistic algebra model, which is based on a logical algebraic structure, i.e., lattice implication algebra, is applied to represent imprecise information and deal with both comparable and incomparable linguistic values (i.e., non-ordered linguistic values). Within this framework, some known weighted aggregation functions are analyzed and extended to deal with these kinds of lattice-value linguistic information.
ISBN:0780390172
9780780390171
DOI:10.1109/GRC.2005.1547266