Affiliations: [a] School of Management Science and Engineering, Nanjing University of Information Science and Technology, Nanjing, China
| [b] Business School, Hohai University, Nanjing, China
| [c] College of Computer and Information, Hohai University, Nanjing, China
Correspondence:
[*]
Corresponding author. Lizhong Xu, College of Computer and Information, Hohai University, Nanjing 211100, China. E-mail: lzhxu@hhu.edu.cn.
Abstract: Conflict of environmental sustainable development as a common phenomenon can be seen everywhere in life. To capture consensus problems of decision makers (DMs) in conflict, a consensus and non-consensus fuzzy preference relation (FPR) matrix is proposed to the framework of the Graph Model for Conflict Resolution (GMCR). Concentrating on the case of two DMs within GMCR paradigm, four standard fuzzy solution concepts are developed into eight fuzzy stability definitions which can fully represent DMs’ behavior characteristics of win-win and self-interested. To demonstrate how the novel GMCR methodology proposed in this paper can be conveniently utilized in practice, it is then applied to an environmental sustainable development conflict with two DMs. The results show that the general fuzzy equilibrium solutions are the intersection of consensus fuzzy equilibrium and non-consensus fuzzy equilibrium. Therefore, the GMCR technique considering DMs’ consensus can effectively predict the various possible solutions of conflict development under different DMs’ behavior preferences and provide new insights for analysts into a conflict.
Keywords: Graph model for conflict resolution, consensus, fuzzy preferences, sustainable development
