scholarly journals Water allocation analysis of the Zhanghe River basin using the Graph Model for Conflict Resolution with incomplete fuzzy preferences

2019 ◽  
Vol 11 (4) ◽  
pp. 1099 ◽  
Author(s):  
Nannan Wu ◽  
Yejun Xu ◽  
D. Kilgour
Keyword(s):  
Conflict Resolution ◽  
River Basin ◽  
Water Allocation ◽  
Common Property ◽  
Preference Relation ◽  
Real Life ◽  
Graph Model ◽  
Additive Consistency ◽  
Fuzzy Preferences ◽  
Fuzzy Preference

An incomplete fuzzy preference framework for the Graph Model for Conflict Resolution (GMCR) is proposed to handle both complete and incomplete fuzzy preference information. Usually, decision makers’ (DMs’) fuzzy preferences are assumed to be complete fuzzy preference relations (FPRs). However, in real-life situations, due to lack of information or limited expertise in the problem domain, any DM’s preference may be an incomplete fuzzy preference relation (IFPR). An inherent advantage of the proposed framework for GMCR is that it can complete the IFPRs based on additive consistency, which is a special form of transitivity, a common property of preferences. After introducing the concepts of FPR, IFPR, and transitivity, we propose an algorithm to supplement IFPR, that is, to find an FPR that is a good approximation. To illustrate the usefulness of the incomplete fuzzy preference framework for GMCR, we demonstrate it using to a real-world conflict over water allocation that took place in the Zhanghe River basin of China.

The graph model for conflict resolution with consensus fuzzy preferences and its application to environmental sustainable development

2020 ◽  
Vol 39 (5) ◽  
pp. 6721-6731
Author(s):  
Nannan Wu ◽  
Yejun Xu ◽  
Lizhong Xu ◽  
Huimin Wang
Keyword(s):  
Sustainable Development ◽  
Conflict Resolution ◽  
Preference Relation ◽  
Graph Model ◽  
Decision Makers ◽  
The Novel ◽  
Equilibrium Solutions ◽  
Fuzzy Preferences ◽  
Fuzzy Solution ◽  
Behavior Characteristics

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.

Two-Decision-Maker Conflict Resolution with Fuzzy Preferences

2014 ◽  
Vol 2 (2) ◽  
pp. 40-59
Author(s):  
Mubarak S. Al-Mutairi
Keyword(s):  
Fuzzy Logic ◽  
Conflict Resolution ◽  
Decision Maker ◽  
Decision Makers ◽  
Fuzzy Approach ◽  
Model Uncertainties ◽  
Preference Information ◽  
Fuzzy Preferences ◽  
Illustrative Application ◽  
Fuzzy Preference

A unique fuzzy approach is developed to model uncertainties in the preferences of a decision maker involved in a conflict. Human judgments, including expressing preferences over a set of feasible outcomes or states in a conflict, are usually imprecise. Situations characterized by vagueness, impreciseness, incompleteness and ambiguity, are often reflected in the decision maker's preferences. When modeling a conflict, it is assumed that the decision makers, the courses of actions available for each, and the preferences of each decision maker are known. When the preferences of the decision maker over a certain set of actions are not known with certainty, this could affect the overall equilibria which are predicted in an analysis. Hence, fuzzy logic is used to handle imprecise or vague preference information so that realistic equilibria can be found. The well-known game of Prisoner's Dilemma, in which one must decide whether or not to cooperate, is employed as an illustrative application to demonstrate how the fuzzy preference methodology works in practice.

Interval fuzzy preferences in the graph model for conflict resolution

2017 ◽  
Vol 17 (3) ◽  
pp. 287-315 ◽  
Author(s):  
M. Abul Bashar ◽  
Keith W. Hipel ◽  
D. Marc Kilgour ◽  
Amer Obeidi
Keyword(s):  
Conflict Resolution ◽  
Graph Model ◽  
Fuzzy Preferences

scholarly journals Development of a dynamics-based model for analyzing strategic water–environmental conflicts: systems thinking instead of linear thinking

Water Policy ◽  
2021 ◽  
Author(s):  
Mohsen Shahbaznezhadfard ◽  
Saied Yousefi
Keyword(s):  
Conflict Resolution ◽  
Systems Thinking ◽  
Research Effort ◽  
Real Life ◽  
Graph Model ◽  
Dynamic Nature ◽  
Environmental Conflicts ◽  
The Past ◽  
Conventional Paradigm

Abstract A new evolvement in graph model for conflict resolution (GMCR), a robust methodology for conflict resolution, is presented in this research effort to incorporate the systems thinking concept into the conventional paradigm of GMCR so that the dynamic nature of water–environmental conflicts can be modeled, and better outcomes obtained. To achieve this objective, a methodology is developed in three phases: static, dynamic, and outcome-based analyses. To develop the methodology, the Tigris–Euphrates basin conflict in the Middle East over the past 30 years, as a real-life case study, is used to show the robustness and capabilities of the proposed approach. Finally, a sustainable resolution to the current conflict is proposed, and the results are discussed. The proposed methodology benefits from improving the existing and often static-based conflict resolution developments by considering the dynamic nature so that the true root causes of complex conflicts are addressed, better strategic insights achieved, and comprehensive resolution provided.

scholarly journals Managing hydroclimatic risks in federal rivers: a diagnostic assessment

2013 ◽  
Vol 371 (2002) ◽  
pp. 20120415 ◽  
Author(s):  
Dustin Garrick ◽  
Lucia De Stefano ◽  
Fai Fung ◽  
Jamie Pittock ◽  
Edella Schlager ◽  
...  
Keyword(s):  
Conflict Resolution ◽  
Adaptive Capacity ◽  
River Basin ◽  
Water Allocation ◽  
Climatic Variability ◽  
River Basins ◽  
Allocation Rules ◽  
Proportional Allocation ◽  
Semi Arid ◽  
Governance Arrangements

Hydroclimatic risks and adaptive capacity are not distributed evenly in large river basins of federal countries, where authority is divided across national and territorial governments. Transboundary river basins are a major test of federal systems of governance because key management roles exist at all levels. This paper examines the evolution and design of interstate water allocation institutions in semi-arid federal rivers prone to drought extremes, climatic variability and intensified competition for scarce water. We conceptualize, categorize and compare federal rivers as social–ecological systems to analyse the relationship between governance arrangements and hydroclimatic risks. A diagnostic approach is used to map over 300 federal rivers and classify the hydroclimatic risks of three semi-arid federal rivers with a long history of interstate allocation tensions: the Colorado River (USA/Mexico), Ebro River (Spain) and Murray–Darling River (Australia). Case studies review the evolution and design of water allocation institutions. Three institutional design trends have emerged: adoption of proportional interstate allocation rules; emergence of multi-layered river basin governance arrangements for planning, conflict resolution and joint monitoring; and new flexibility to adjust historic allocation patterns. Proportional allocation rules apportion water between states based on a share of available water, not a fixed volume or priority. Interstate allocation reform efforts in the Colorado and Murray–Darling rivers indicate that proportional allocation rules are prevalent for upstream states, while downstream states seek reliable deliveries of fixed volumes to increase water security. River basin governance arrangements establish new venues for multilayered planning, monitoring and conflict resolution to balance self governance by users and states with basin-wide coordination. Flexibility to adjust historic allocation agreements, without risk of defection or costly court action, also provides adaptive capacity to manage climatic variability and shifting values. Future research should develop evidence about pathways to adaptive capacity in different classes of federal rivers, while acknowledging limits to transferability and the need for context-sensitive design.

scholarly journals Fuzzy Preferences in the Graph Model for Conflict Resolution

2012 ◽  
Vol 20 (4) ◽  
pp. 760-770 ◽  
Author(s):  
M. Abul Bashar ◽  
D. Marc Kilgour ◽  
Keith W. Hipel
Keyword(s):  
Conflict Resolution ◽  
Graph Model ◽  
Fuzzy Preferences
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