Aggregation Functions as a Base for Decision Making

Keywords:
aggregation function, triangular norm, pseudo-additive measure, fuzzy system, decision making.

Abstract:
When making the decision in various fields, the following types of uncertainties are frequently encountered: ignorance of the phenomenon; imprecision of measurement; the vagueness of language; subjective assessment. Combining information from different sources in a single important output is a crucial task of numerous investigations, mostly based on powerful computers. The paper presents the mathematical models based on aggregation functions for these uncertainties such as probability theory and statistics (by copulas), and newer mathematical methods such as the theory of fuzzy sets and fuzzy logics, and non-additive measures and integrals based on them. A generalization of the utility theory is given based on pseudo-additive measures.

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E. Pap, “Aggregation Functions as a Base for Decision Making,” in Synthesis 2015 - International Scientific Conference of IT and Business-Related Research, Belgrade, Singidunum University, Serbia, 2015, pp. 143-146. doi:10.15308/Synthesis-2015-143-146

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Pap, E. (2015). Aggregation Functions as a Base for Decision Making. Paper presented at Synthesis 2015 - International Scientific Conference of IT and Business-Related Research. doi:10.15308/Synthesis-2015-143-146

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