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

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    This study introduces a novel three-way conflict analysis and resolution model for intuitionistic fuzzy information systems (IFISs). The model effectively identifies and resolves conflicts among multiple objects using three-way concept analysis (3WCA) and three-way decision (3WD) processes.

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    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.