Comprehensive Interval-Induced Weights Allocation with Bipolar Preference in Multi-Criteria Evaluation

Preferences-involved evaluation and decision making are the main research subjects in Yager’s theory. When involved bipolar preferences concerned with interval information, some induced weights allocation aggregation methods should be reanalyzed redesigned. This work considers multi-criteria situation which originally only interval-valued absolute importance of each criterion is available. Firstly, based on importance, upper bounds, lower mean points each, we used basic unit monotonic function-based preference method four times to generate weight vectors. A comprehensive weighting mechanism proposed after considering normalization given information. The optimism–pessimism preference-based will also applied according magnitudes entries any input vector. similar still performed. With obtained vector for criteria, adopt weighted ordered averaging a convex poset organically consider both two types interval-inducing information propose further mechanism. detailed procedures numerical example education presented show that models feasible useful interval, multi-criteria, preferences-involved decisional environments.