Decision-making and optimization model for fire emergency replacements in colleges based on BWM and VIKOR under interval 2-tuple linguistic

Abstract

In order to address the issues of emergency decision-making and optimization (EDMO) of fire accidents in colleges, this paper proposes the EDMO way to take into account the synergies among divergent divisions replacements and the psychology of decision makers (DMs) on the basis of the best-worst method (BWM) and VIKOR within an interval 2-tuple linguistic (ITL) surroundings and cumulative prospect theory (CPT). First, DMs use the ITL to evaluate the degree of synergy among replacements from divergent divisions, the language information can be processed accurately and the information loss can be avoided. Then, the multi-alternative amalgamations consisted of divergent divisions replacements are built. On the grounds of the DMs’ value assignment, the collaborative decision matrix of multi-alternative amalgamations can be gained. And the optimal weight of the evaluation standards can be computed based on the ITL-BWM method. The CPT is extended into VIKOR to think about the effect of the DMs’ psychological behavior on the decision result. Furthermore, the positive and negative utility matrices can be computed through the value function of CPT. On the grounds of the positive and negative utility matrices, the distance from the utility value of multi-alternative amalgamations to the desired right solution of positive and negative utility can be obtained, and the cumulative foreground value function is used to replace the distance among each replacement to the positive and negative right desired solutions, it can avoid ignoring the effect of the correlations among different attributes on the outcome. Furthermore, the model is applied to the example and an analysis of the sensitivity of the factors of the decision-making mechanism coefficient and the weights of synergistic indicators is carried out to prove the validity and stability of the model.