Three-Way Conflict Analysis And Three-Way Decisions Under Generalized Fuzzy Environments

Conflicts are ubiquitous in social life and have always been a matter of concern for people.In order to reveal the essence of conflict issues,scholars have conducted in-depth research and constructed conflict analysis models to help agents evaluate the degree of alliance or conflict with each other and choose feasible consensus strategies.The existing conflict analysis models and three-way decision models can be extended in several ways:first,when issues in the model have multiple values and the probabilities of these values are different,a probability multi-value information system can be introduced.Second,when the problem has multiple attributes,the multi-value information system can be extended to a multi-source and multi-value information system.Third,the existing generalized intuitionistic fuzzy sets cannot describe the degree of agents’ hesitation between membership and non-membership at the same time.Therefore,a new generalized fuzzy set,the relative conflict intuitionistic fuzzy set,is proposed by combining the concepts of intuitionistic fuzzy sets and interval-valued intuitionistic fuzzy sets.In this dissertation,several research studies have been conducted on these aspects,and research results have been achieved.The main contents are as follows: 1.This dissertation combines probability distribution with multi-value information systems and proposes the concept of a probability multi-value information system.Then,a nonlinear Bregman divergence is used to define the conflict degree between agents.Compared with traditional conflict degrees,this degree can reflect situations where the speed of conflict degree changes is not consistent.Then,the conflict class,neutral class,and alliance class of each agent are classified based on this conflict degree.2.The dissertation proposes multi-source and multi-value information systems and defines the degree of conflict and alliance from the perspective of problem and attributive in the system.The three-way decision method is used to study the acquisition rules of the conflict class,neutral class,and alliance class of each agent.Then,the conflict consensus degree and the alliance consensus degree are defined using the degree of conflict and alliance,and a feasible consensus strategy set is obtained by combining the comprehensive value of the issue set.3.By generalizing intuitionistic fuzzy sets and interval-valued intuitionistic fuzzy sets,the concepts of relative conflict intuitionistic fuzzy sets,relative conflict intuitionistic fuzzy numbers,and relative conflict intuitionistic fuzzy information systems are proposed.The operations,relations,and similarity measure between relative conflict intuitionistic fuzzy numbers and relative intuitionistic fuzzy sets are explored.Then,three-way conflict analysis models and three-way decision models are established in the relative conflict intuitionistic fuzzy information system.