A collaborative emergency decision making approach based on BWM and TODIM under interval 2-tuple linguistic environment

Abstract

Emergencies require various emergency departments to collaborate to achieve timely and effective emergency responses. Thus, the overall performance of emergency response is influenced not only by the efficiency of each department alternative but also by the coordination effect among different department alternatives. This paper proposes a collaborative emergency decision making (CEDM) approach considering the synergy among different department alternatives based on the best–worst method (BWM) and TODIM (an acronym in Portuguese of interactive and multiple attribute decision making) method within an interval 2-tuple linguistic environment. First, the evaluation information provided by decision makers (DMs) is represented by interval 2-tuple linguistic variables to reflect and model the underlying diversity and uncertainty. On the basis of the DMs’ evaluations, the individual and collaborative performance evaluations of multi-alternative combinations composed of different department alternatives are constructed. Then, the BWM is extended into interval 2-tuple linguistic environment to obtain the weights of evaluation criteria, where the group decision making is taken into account in an interval fuzzy mathematical programming model. Furthermore, to derive more practical and accurate decision results, an interval 2-tuple linguistic TODIM (ITL-TODIM) method is proposed by considering the DMs’ psychological behaviours. In the developed ITL-TODIM method, both the gain and loss degrees of one alternative relative to another are simultaneously computed. Finally, a numerical example is presented to illustrate the applicability of the proposed method. Sensitivity and comparative analyses are also provided to demonstrate the effectiveness and advantages of the proposed approach.

An Extended Multi-Attributive Border Approximation Area Comparison Method for Emergency Decision Making with Complex Linguistic Information

“…For example, the fuzzy set [46], the intuitionistic fuzzy set [15], the rough fuzzy set [17], the interval type-2 fuzzy sets [11], the hesitant fuzzy set [47], the Pythagorean fuzzy set [48], the picture fuzzy set [12], and the spherical fuzzy set [49] were employed to characterize the fuzziness and hesitation of decision information in EDM. In addition, to quantify the linguistic decision information of experts, a variety of linguistic computational methods were incorporated into EDM, which include the probabilistic linguistic term sets [8], the linguistic intuitionistic fuzzy sets [2], the proportional hesitant fuzzy linguistic sets [14], the 2-dimension uncertain linguistic variables [19], the probabilistic linguistic preference relations [9], the Pythagorean fuzzy uncertain linguistic variables [16], the interval-valued Pythagorean fuzzy linguistic variables [50], the 2-tuple linguistic method [45], the interval 2-tuple linguistic method [1], and the 2-tuple spherical linguistic term sets [10].…”

“…Qin and Ma [11] proposed an EDM method based on the third generation prospect theory and the multiple multi-objective optimization by ratio analysis (MULTIMOORA) for the evaluation of emergency response plans. Qi et al [1] introduced a collaborative EDM approach considering the synergy among different department alternatives based on the best-worst method (BWM) and the TODIM method. Lv et al [50] investigated the emergency group decision-making problem with the technique for order performance by similarity to ideal solution (TOPSIS) and kernel principal component analysis methods.…”

“…Over recent decades, many emergency events occurred unexpectedly all over the world, which brought about enormous losses of life and property, social and economic damage, and environment degradation [1][2][3]. For example, the Super Typhoon Lekima disaster in 2019 was characterized by a wide scope of influence and long duration.…”