Abstract
The aim of this paper is to summarize the historical development of the concept of a fuzzy preference structure and to present the resulting material in a logical manner. Roughly speaking, three phases can be distinguished. In the first phase, different proposais for constructing fuzzy strict preference and indifference relations emerge. In the second one, this construction is approached in an axiomatic way, by imposing couditions on the fuzzy strict preference, indifference and incomparability relations, leading to functional equations identifying suitabie strict preference, indifference and incomparability generators. Surprisingly, the detinition of a fuzzy preference structure was only given in the third phase, leading to the study of additive fuzzy preference structures. Combined with results from the axiomatic approach, this has linally led to the discovery of characterizable fuzzy preference structures.
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