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A fuzzy linear programming approach for group decision making

This paper presents a linear programming (LP) model that can solve the conflicts by applying fuzzy set theory. The major objective of this LP model is to maximize the concordance of each member's subjective preference. Further, the generated constraints ensure that the satisfaction (the difference between each member's preferred alternative and the final chosen alternative) is approximately the same for each member. If the loop situation occurs in the LP result, a fuzzy inference method is suggested to solve the dilemma. Finally, an example is provided for demonstrating the proposed LP model.