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Regret theory based three-way conflict analysis model under q-rung orthopair fuzzy information: studies with parameter and three-way decision-making-based approaches

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Abstract

In any conflict analysis model, agents are decision-makers (DMs). In reality, the regret psychology of DMs often influence decision outcomes due to uncertain risks. However, the existing conflict analysis model avoids DMs’ regret psychology. The q-rung orthopair fuzzy information (q-ROFIS) with regret theory (RT)-based conflict analysis in detail is a primary aim of this study to solve more complex and uncertain-conflict problems than possible within the confinement of current knowledge. First, we define RT-based q-rung orthopair fuzzy conflict distance (q-ROFCD) in a pair and show that our q-ROFCD holds symmetry and triangular inequality. Using q-ROFCD, we have studied pre-defined parameters and three-way decision (3WD) theory-based conflict analysis. In pre-defined parameters-based conflict analysis, we trisect the agents according to single and multiple issues, define q-rung orthopair fuzzy conflict of each issue and issue set, trisect issues, provide a feasible strategy for a conflict situation, define the conflict degree of each agent and agent set, and finally find out the intrinsic reasons for the conflict are. In 3WD theory based-conflict analysis, we trisect the agents according to single and multiple issues using Bayesian minimum cost theory, define conflict region, rank the issues, introduce three-way coalitions of agents and finally define maximal coalition of agents. At last, the stability and validity of the proposed model are verified via an application, sensitive analysis and comparative analysis with similar studies.

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Authors and Affiliations

  1. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapur, WB, 721102, India

    Prasenjit Mandal & Madhumangal Pal

  2. Department of Mathematics, Tamralipta Mahavidyalaya, Tamluk, WB, 721636, India

    Sovan Samanta

  3. Department of Pure and Applied Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur, Chhattisgarh, 495009, India

    A. S. Ranadive

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  1. Prasenjit Mandal
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  2. Sovan Samanta
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  3. Madhumangal Pal
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  4. A. S. Ranadive
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Contributions

PM: Conceptualization of this study, Methodology, Validation, Formal analysis, Writing–original draft. SS: Validation, Writing–review & editing. MP: Visualization, Formal analysis, Supervision. ASR: Visualization & Formal analysis.

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Correspondence to Sovan Samanta.

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Mandal, P., Samanta, S., Pal, M. et al. Regret theory based three-way conflict analysis model under q-rung orthopair fuzzy information: studies with parameter and three-way decision-making-based approaches. Artif Intell Rev 56 (Suppl 3), 3417–3469 (2023). https://doi.org/10.1007/s10462-023-10607-z

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