Fuzzy preferences in conflicts

Abstract

A systematic fuzzy approach is developed to model fuzziness and uncertainties in the preferences of decision makers involved in a conflict. This unique fuzzy preference formulation is used within the paradigm of the Graph Model for Conflict Resolution in which a given dispute is modeled in terms of decision makers, each decision maker's courses of actions or options, and each decision maker's preferences concerning the states or outcomes which could take place. In order to be able to determine the stability of each state for each decision maker and the possible equilibria or resolutions, a range of solution concepts describing potential human behavior under conflict are defined for use with fuzzy preferences. More specifically, strong and weak definitions of stability are provided for the solution concepts called Nash, general metarational, symmetric metarational, and sequential stability. To illustrate how these solution concepts can be conveniently used in practice, they are applied to a dispute over the contamination of an aquifer by a chemical company located in Elmira, Ontario, Canada.

Fuzzy Multi-Objective Lattice Order Decision Approach for Preference Ranking in Conflict Analysis

“…Researchers have different perspectives on players ' preferences, including strength of preference [17] , hybrid preference [18] , fuzzy preference and uncertain preference [19][20][21][22][23] , and players' emotions and attitudes [24][25] . Nevertheless, only a few findings have considered preference ranking, among which most methods still rely on the subjective objectives of players [26] .…”

“…On the other hand, some new methods are proposed based on the classical game theory, such as hyper-game [2] , the soft game [3] and graph model [4] . The diversification and integrative conflict analysis approachs are also fruitful, such as rough set theory [5][6] , analytic hierarchy process (AHP) [7] , matrix analysis [8][9][10] , multi-objective game analysis [11] , Bayesian belief networks [12] , gray system theory [13] and fuzzy analysis method [14][15][16] . Conflict analysis has been extensively investigated in the urban development planning, environmental resource disputes, project developing, as well as international military and trade disputes, etc.…”

A fresh perspective on robustness of equilibrium in the Graph Model

“…The original graph model assumes a deterministic model which is the equivalent of a game of complete information [4]. However, there has been a number of extensions to the graph model to account for uncertainty, mainly in preferences, such as strength of preferences [15], [16], fuzzy preferences [17], [18], and stochastic preferences [19]. In this article, the proposed advancement will be applied to the original model in which complete information about a conflict is assumed.…”

Fuzzy Preferences in the Graph Model for Conflict Resolution

“…A fuzzy approach was developed in (Al-Mutairi et al, 2008) to model uncertainty in the preferences of DMs involved in a conflict. The authors divided the fuzzy domain of preferences into five regions with linguistic labels: much more preferred, more preferred, indifferent, less preferred, and much less preferred.…”