Geodesic
Aggregation of strict order fuzzy relations
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2022), pp. 30-43.

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The problem of finding a collective solution is considered when specifying the profile of expert preferences by fuzzy relations of strict order. Non-contradictory aggregated relation is built on the basis of a digraph of a fuzzy relation, the matrix of which consists of the arithmetic mean values of the elements of the matrices of fuzzy preferences of experts. The aggregated relation is also a fuzzy strict order and satisfies the requirements for collective decisions: minimal distance to expert preferences and non-contradictory. Algorithms that implement operations with fuzzy relations are proposed.
Keywords: collective choice, fuzzy preference relation, fuzzy relation digraph, strict order
Mots-clés : minimum distance. 
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S. O. Smerchinskaya; N. P. Yashina. Aggregation of strict order fuzzy relations. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2022), pp. 30-43. http://geodesic.mathdoc.fr/item/IVM_2022_7_a3/

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