Three-way group conflict analysis based on q-rung orthopair fuzzy set theory

Many researches introduce fuzzy sets to describe vague and uncertain information in conflict analysis, and build fuzzy information systems to depict attitudes of agents toward issues. q-rung orthopair fuzzy set as a generalization of Pythagorean fuzzy set is more powerful and efficient in information representation. In this paper, we propose two conflict analysis models based on q-rung orthopair fuzzy information system and corresponding discern functions, and employ examples to illustrate the ability of partition agent set into three different nonempty alliances. For the construction of dynamic conflict analysis model, we study the change of classification of agent set with the variation of q. In the meanwhile, we find that the changed classification can not be the same with the original classification in some cases. The occurrence of such situation is related to discern functions. Thus, we introduce overlap functions as discern functions, and employ examples to illustrate overlap functions can keep the classification of agent set in the cases, which other discern functions fail to maintain.