n]} be a fixed set, then a hesitant fuzzy preference relation (HFPR) H on X is presented by a matrix H = [([h.
nxn] is called a hesitant preference relation (HPR).
Fuzzy preference relation B on a set of alternatives X is a fuzzy set on the product set X x X, characterized by membership function [[micro].
Step 4: Transform the consistent MPR matrix to a fuzzy preference relation matrix.
It is clear for the fuzzy preference relation Q the following statements are equivalent
We shall call R as fuzzy revealed preference relation generated by C, P as strict fuzzy revealed preference relation generated by C and I as indifference fuzzy revealed preference relation generated by C.
To solve the aforementioned problems in technology project assessment, this paper builds a new set of indicators and introduces two aggregation operators in the technology project to deal with two situations of technology project assessment respectively, including linguistic and subjective information and pair comparison of preference relation
The preference relation
induced by a set of such preference statements is then the transitive closure of the union of preference relations
induced by individual preference statements.
The aim of that initial paper was to give topological conditions on the space of actions of an agent implying that a closed preference relation
can be represented by a continuous utility function.
One is to deny that the preference relation
can be structured so as to obtain an equally optimal action problem (Block's approach).
EOWA and EOWG operators for aggregating linguistic labels based on linguistic preference relations
, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 12(5): 791-810.
1: Formal presentation of preference relations
and choice rules.