Three-Way Conflict Analysis and Resolution for Intuitionistic Fuzzy Information Systems via Three-Way Concept...

Area of Science:

• Information Systems
• Fuzzy Logic
• Decision Science

Background:

• Real-world complexity and uncertainty pose challenges in analyzing and resolving conflicts within fuzzy information systems (ISs).
• Existing models struggle with the inherent ambiguity and vagueness of data, necessitating advanced analytical frameworks.
• Intuitionistic fuzzy information systems (IFISs) offer a more nuanced approach to handling uncertainty compared to traditional fuzzy systems.

Purpose of the Study:

• To propose a novel three-way conflict analysis and resolution model tailored for intuitionistic fuzzy information systems (IFISs).
• To enhance the understanding and management of conflicts arising from multiple objects in uncertain environments.
• To provide a robust framework for decision-making by identifying maximal alliance units, minimal conflict units, and feasible strategies.

Main Methods:

• Defining straight and vertical distances between intuitionistic fuzzy values (IFVs) to establish an intuitionistic fuzzy probability-credibility distribution.
• Developing intuitionistic fuzzy optimistic and pessimistic formal contexts using novel binary relations for intuitionistic fuzzy information.
• Utilizing three-way concept analysis (3WCA) and three-way decision (3WD) processes, including trisections of object pairs, objects, and attributes based on threshold pairs.
• Generating intuitionistic fuzzy concept lattices to analyze marginal conflict degrees via consistency, inconsistency, and uncertainty attribute sets.

Main Results:

• The proposed model successfully analyzes marginal conflict degrees among multiple objects within IFISs.
• Identification of maximal alliance units, minimal conflict units, and feasible strategy sets based on three-way conflict analysis.
• A consistency measure derived from the intuitionistic fuzzy distance matrix enables the ranking of all feasible strategies.
• Experimental validation confirms the model's effectiveness, superiority, and feasibility in conflict resolution.

Conclusions:

• The developed three-way conflict analysis and resolution model provides an effective approach for managing conflicts in IFISs.
• The integration of 3WCA and 3WD offers a powerful mechanism for handling uncertainty and complexity in decision-making.
• The model demonstrates significant advantages over existing methods, offering superior performance in conflict analysis and resolution within uncertain environments.