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Conflict occurs in all aspects of life, and people tend to consider a variety of factors in the face of it and hesitate to make decisions among multiple choices. This paper performs a three-way conflict analysis in the dual hesitant fuzzy case. Firstly, we propose the concept of dual hesitant fuzzy situation tables (DHFSTs). Subsequently, we trisect the pairs of agents and objectively calculate issue weights by CRITIC method rather than subjective assignments. According to Bayesian minimum risk theory, we derive trisection of agents, in which the state set is calculated objectively. Then, we analyze three issue sets through the conflicting characters of issues, which provides a new way to consider the trisection of issues. In addition, we put forward the definition of maximal coalitions in DHFSTs and give an effective calculation method. Finally, we illustrate the feasibility of the proposed model by analyzing the development plan in Gansu Province, and conduct a brief comparative analysis. [ABSTRACT FROM AUTHOR]

In the Pawlak model of conflict analysis, a rating of −1, 0, and +1 indicates that an agent is negative, neutral, and positive towards an issue. One defines measures of alliance and conflict of agents based on their three-valued ratings on a set of issues. Existing studies make some restrictive assumptions. One assumption is that a single distance function determines alliance, conflict, and neutrality. Another assumption is that all issues are equally important. The third assumption is that different pairs, such as (+ 1 , + 1) , (0 , 0) , and (− 1 , − 1) , contribute equally to alliance and conflict. Intuitively, different issues may have different importances and a (+ 1 , + 1) agreement may be stronger than a (0 , 0) agreement. To address these weaknesses, in this paper we use a pair of an alliance measure and a conflict measure, rather than a single distance measure. We propose and study a new class of additive measures of alliance and conflict by assigning different weights to different issues and assigning different values to different pairs of ratings. Existing measures are special cases of the new measures. By using the new measures, we construct a general model of three-way conflict analysis. Finally, we give an application of the new alliance and conflict measures in making the development plan of Gansu Province in China. [ABSTRACT FROM AUTHOR]