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      Construction of nonreciprocal fuzzy preference relations with the use of preference functions

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          Abstract

          In order to model the preferences of a decision-maker (DM) by means of fuzzy preferencerelations, a DM can utilize different preference formats (such as ordering of the alternatives, utility values, multiplicative preference relations, fuzzy estimates, and reciprocal as well as nonreciprocal fuzzy preference relations) to express his/her judgments. Afterward, the obtained information is utilized to constructfuzzy preference relations. Here we introduce a procedure that allows the use of so-called preference functions (which is a preference format utilized in the methods of PROMETHEE family) to construct nonreciprocal fuzzy preference relations. With diverse preference formats being offered, a DM can select the onethat is the most convenient to articulate his/her preferences. In order to demonstrate the applicability of theproposed procedure a multicriteria decision-making problem related to the site selection for constructing anew hospital is considered here.

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          Most cited references 23

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          The analytic hierarchy process

           Saaty,  RW Saaty,  TL Saaty (1980)
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            Decision-making with a fuzzy preference relation

             S.A. Orlovsky (1978)
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              A consensus model for multiperson decision making with different preference structures

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                Author and article information

                Contributors
                Role: ND
                Role: ND
                Journal
                pope
                Pesquisa Operacional
                Pesqui. Oper.
                Sociedade Brasileira de Pesquisa Operacional (Rio de Janeiro )
                1678-5142
                August 2013
                : 33
                : 2
                : 305-323
                Article
                S0101-74382013000200010
                10.1590/S0101-74382013000200010
                Product
                Product Information: website
                Categories
                OPERATIONS RESEARCH & MANAGEMENT SCIENCE

                Management

                multicriteria decision-making, fuzzy preference relations, preference functions

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