Goal programming models for obtaining the priority vector of incomplete fuzzy preference relation
International Journal of Approximate ReasoningPublished 2 January 2004
Zeshui Xu
Citations248
SJR quartileQ2
SJR score0.73
SNIP1.18
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TL;DR
This paper proposes two goal programming models, based on additive consistent incomplete fuzzy preference relation and multiplicative consistent incomplete fuzziest preference relation respectively, for obtaining the priority vector of incomplete fuzzy preferences.
Abstract
In this paper, 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.
Keywords
Computer ScienceDecision SciencesEngineering
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