Interval-valued intuitionistic fuzzy rough set system over a novel conflict distance measure with application to decision-making

Conflict analysis is one of the most critical application domains whose importance is increas-ing rapidly nowadays. Attributes involving conflicts frequently occur with opinion, negotiations, and collaborators in decision-making. Taking advantage of the uncertainty present in decision -making, in this paper, we have proposed a system that can solve the problems involving conflicts more adequately. center dot A new interval-valued intuitionistic fuzzy rough set (IVIFRS) system is introduced to handle a decision-making problem involving a conflict of interests. center dot The proposed system exploits both the notions of rough set and interval-valued intuitionistic fuzzy set theories in sharpening the boundaries of conflicts. center dot In the IVIFRS system, the disputes amongst the objectives are measured by the novel conflict distance measure. Further, an interval-valued intuitionistic fuzzy conflict analysis system for-mulated on the IVIFRS is designed for deciding the conflicting attributes The formulated system is then studied for weight vectors too. The intended conflict analysis sys-tem is studied with reference to the well-known existing intuitionistic fuzzy rough set system. The real-life socio-economic problems are dealt with, and the experimental results validate the efficacy of the proposed system.