A characterization of rational amalgamation operations
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TL;DR
A necessary and sufficient condition for non-irrationality is presented, along with comments on the importance of the number of alternatives.
Abstract
This paper deals with amalgamation of fuzzy opinions when a fixed number of individuals is faced with an unknown number of alternatives. The aggregation rule is defined by means of intensity aggregation operations that verify certain ethical conditions, and assuming fuzzy rationality as defined in [1, 2]. A necessary and sufficient condition for non-irrationality is presented, along with comments on the imporartance of the number of alternatives.