Characterization of Quadratic Aggregation Functions

IEEE In this work, we show that quadratic aggregation functions on the unit interval-valued lists can be characterized by a set of linear inequalities. We also use these inequalities to find all extreme points of the set of quadratic aggregation functions. Special cases of aggregation functions such...

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Bibliographic Details
Main Author: Santi Tasena
Format: Journal
Published: 2019
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Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85061961894&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/63631
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Institution: Chiang Mai University
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Summary:IEEE In this work, we show that quadratic aggregation functions on the unit interval-valued lists can be characterized by a set of linear inequalities. We also use these inequalities to find all extreme points of the set of quadratic aggregation functions. Special cases of aggregation functions such as idempotent, conjunction, and disjunction are also considered.