Fuzzy Numbers as Utilities of Decision Making in Treatment of Radiation Cystitis

The Choquet Integral Applied to Ranking Therapies in Radiation Cystitis

“…In order to sample all distinct utilities, assigned to pairs (a i , x j ), we estimate the total utility as [12,[14][15] …”

“…We thus want to test fuzzy decision-making model, regarded as a valuable tool, to help in selecting a patient-tailored treatment in radiation cystitis [12].…”

“…Theoretical fuzzy decision-making models [14][15], possessing the utility matrix filled with distinct utilities of pairs (decision, object-state), give rise to own trials of successfully accomplished applications concerning the item of medication [8,12]. After interpreting pairs (decision, object-state) as (therapy, symptom), we intend to prove decision-making based on the Choquet integral to extract the optimal treatment in radiation cystitis.…”

“…After interpreting pairs (decision, object-state) as (therapy, symptom), we intend to prove decision-making based on the Choquet integral to extract the optimal treatment in radiation cystitis. We wish to confront the results, obtained by the Choquet integral technique, with another model made for the purpose of radiation cystitis in [12].…”

“…We wish the model to be furnished with extraction of the most efficacious treatment, provided that the particular emphasis is also concentrated on assigning differing degrees of importance to states-symptoms [8,12,[14][15]. Let us associate with each symptom x j , j = 1,…,m, a non negative number that indicates its power or importance in the decision according to the rule: the higher the number is, the more important role of x j 's retreat will be regarded.…”