Goal programming models for obtaining the priority vector of incomplete fuzzy preference relation. (English) Zbl 1088.91015

Xu, Z. S.

Int. J. Approx. Reasoning 36, No. 3, 261-270 (2004).

Summary: We first define the concepts of incomplete fuzzy preference relation, additive consistent incomplete fuzzy preference relation and multiplicative consistent incomplete fuzzy preference relation, and then propose two goal programming models, based on additive consistent incomplete fuzzy preference relation and multiplicative consistent incomplete fuzzy preference relation respectively, for obtaining the priority vector of incomplete fuzzy preference relation. These two goal programming models are also extended to obtain the collective priority vector of several incomplete fuzzy preference relations. Finally, two illustrative numerical examples are given to verify the developed models.

MSC:

91B08	Individual preferences
90C29	Multi-objective and goal programming

Keywords:

Incomplete fuzzy preference relation; Additive consistent incomplete fuzzy preference relation; Multiplicative consistent incomplete fuzzy preference relation; Goal programming model; Priority

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