Factoring fuzzy transitivity
Transitivity of a precise weak preference relation implies that its asymmetric component (strict preference) and its symmetric component (indifference) are transitive and conversely the transitivity of strict preference and indifference implies that the underlying weak preference relation is transitive. This paper examines to what extent analogous results may be obtained for the different transitivity conditions and different methods for deriving strict preference and indifference being used in the literature of choice with fuzzy preferences. (C) 2001 Elsevier Science B.V. All rights reserved.
factorization fuzzy strict preference fuzzy weak preference choice function