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In many environmental and water resources planning and management studies it is necessary to use criteria with few data or whose interpretation relies on the knowledge of specialists. For this reason, criteria that are based on subjectivity and scalar numbers do not fully represent them. Social and environmental criteria are assessed based on estimations or uncertainties; they can be better represented by a range of values. Fuzzy numbers better describe some social and environmental criteria, since they can easily incorporate subjectivity. In general, fuzzy sets allow the expression of values or set of values for the criteria in percentage or in a small range of possibilities and, also, allow incorporating the experts’ experience. This paper addresses the modification of two different multi-criteria methods know as “Cooperative Game Theory” (CGT) and “Compromise Programming” (CP), in order to work with fuzzy numbers. These methods were applied to selected sites and waste water treatment technology in the city of Paulinia — SP, Brazil. Fifteen criteria were considered to analyze six alternatives. The proposed fuzzy incorporation of social, environmental and economical criteria proved feasible and reliable, improving the decision making process

rbrh

Incorporação de Matemática Fuzzy em Métodos Multicriteriais para Descrever Critérios Subjetivos em Planejamento de Recursos Hídricos: Fuzzy - CP e Fuzzy - CGT