Abstract
•New divergence and entropy measures are introduced for IVIFSs and compared with existing measures.•An interval-valued intuitionistic fuzzy COPRAS is developed.•The entropy and Shapley function based procedure for criteria weights is constructed.•The proposed approach is applied for an HWR facility selection problem.•Comparative work and sensitivity analysis from the case study are given.
Nowadays, the selection of the appropriate safety and health evaluation facility in hazardous waste recycling organizations has become a challenging issue, mainly in developing countries. Evaluation of hazardous waste recycling facility selection can be considered as a complex multi-criteria decision-making problem that contains multiple-options solutions with conflicting tangible and intangible criteria. This paper is proposed a novel method based on the Complex Proportional Assessment (COPRAS) with multi-criteria decision making for interval-valued intuitionistic fuzzy sets. The proposed method is derived from aggregation operators of interval-valued intuitionistic fuzzy sets; in addition, a few amendments in the conventional complex proportional assessment approach and a process for computation of criteria weights are presented. For calculating the weights of the criteria the interval-valued intuitionistic fuzzy information measures are proposed. The present approach mainly addresses the correlative multi-criteria decision-making problems; therefore, the criteria weights are calculated in the form of Shapley values. Recently, increasing challenges for environmental issues require the development of hazardous waste recycling facility selection with respect to different criteria; therefore, the practical problem of hazardous waste recycling facility selection is presented, which proves the validity and feasibility of the proposed approach. Finally, a comparison is made with existing approaches to validate the developed method.