Generally, the criteria involved in a decision making problem are interactive
or inter-dependent, and therefore aggregating them by the use of traditional
operators which are based on additive measures is not logical. This verifies
that we have to implement fuzzy measures for modelling the interaction
phenomena among the criteria.On the other hand, based on the recent extension
of hesitant fuzzy set, called higher order hesitant fuzzy set (HOHFS) which
allows the membership of a given element to be defined in forms of several
possible generalized types of fuzzy set, we encourage to propose the higher
order hesitant fuzzy (HOHF) Choquet integral operator. This concept not only
considers the importance of the higher order hesitant fuzzy arguments, but also
it can reflect the correlations among those arguments. Then,a detailed
discussion on the aggregation properties of the HOHF Choquet integral operator
will be presented.To enhance the application of HOHF Choquet integral operator
in decision making, we first assess the appropriate energy policy for the
socio-economic development. Then, the efficiency of the proposed HOHF Choquet
integral operator-based technique over a number of exiting techniques is
further verified by employing another decision making problem associated with
the technique of TODIM (an acronym in Portuguese of Interactive and
Multicriteria Decision Making).Comment: Iranian Journal of Fuzzy Systems, Volume, 2002, Issue 568
