An Approach to Generalization of the Intuitionistic Fuzzy Topsis Method in the Framework of Evidence Theory

Abstract A generalization of technique for establishing order preference by similarity to the ideal solution ( TOPSIS ) in intuitionistic fuzzy setting based on redefinition sets theory IFS framework Dempster-Shafer DST evidence is proposed. The use mathematical tools makes it possible avoid a set limitations and drawbacks revealed recently conventional Atanassov’s operational laws defined values, which may produce unacceptable results multiple criteria decision-making problems. This boosts considerably quality aggregating operators used method. It pointed out that method be naturally treated as weighted sum some modified local criteria. Because this approach does not always reflects well intentions decision makers, two additional methods cannot weights being are introduced. Having mind different generally alternative rankings obtain compromise ranking, aggregation modes has been applied. Some examples illustrate validity features proposed approach.