Goal Programming Methods for Constructing Additive Consistency Fuzzy Preference Relations

Lee, Hsuan-Shih; Tseng, Wei-Kuo

doi:10.1007/11893004_116

Cited by 5 publications

(2 citation statements)

References 22 publications

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“…(1) and (10) are incompatible from different points of view (See Fedrizzi and Brunelli (2009;, and Lee and Tseng (2006)). In order to use Eq.…”

Section: Basic Concepts Of a Consistent Fuzzy Preference Relationmentioning

confidence: 99%

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Consistency test and weight generation for additive interval fuzzy preference relations

Wang

2013

Soft Comput

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Some simple yet pragmatic methods of consistency test are developed to check whether an interval fuzzy preference relation is consistent. Based on the definition of additive consistent fuzzy preference relations proposed by Tanino [Fuzzy Sets and Systems 12 (1984) 117-131], a study is carried out to examine the correspondence between the element and weight vector of a fuzzy preference relation. Then, a revised approach is proposed to obtain priority weights from a fuzzy preference relation. A revised definition is put forward for additive consistent interval fuzzy preference relations. Subsequently, linear programming models are established to generate interval priority weights for additive interval fuzzy preference relations. A practical procedure is proposed to solve group decision problems with additive interval fuzzy preference relations. Theoretic analysis and numerical examples demonstrate that the proposed methods are more accurate than those in Xu and Chen [European Journal of Operational Research, 184 (2008) 266-280].

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“…(1) and (10) are incompatible from different points of view (See Fedrizzi and Brunelli (2009;, and Lee and Tseng (2006)). In order to use Eq.…”

Section: Basic Concepts Of a Consistent Fuzzy Preference Relationmentioning

confidence: 99%

“…, , 1, 2,..., i j  n ), but it was later shown that the correspondence is not always valid from different perspectives (Liu et al, 2012b;Xu et al, 2010;Fedrizzi and Brunelli, 2009;Fedrizzi and Brunelli, 2010;Lee and Tseng, 2006;Shen et al, 2009). Xu and Chen (2008b) extended the correspondence to additive consistent IFPRs.…”

Section: Introductionmentioning

confidence: 99%