A Quadratic Programming Method for Ranking Alternatives Based on Multiplicative and Fuzzy Preference Relations

Yejun Xu; Qianqian Wang; Huimin Wang

A Quadratic Programming Method for Ranking Alternatives Based on Multiplicative and Fuzzy Preference Relations

Publish place: Iranian Journal of Fuzzy Systems، Vol: 13، Issue: 3

Publish Year: 1395

نوع سند: مقاله ژورنالی

زبان: English

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https://civilica.com/doc/1466562

شناسه ملی سند علمی:

JR_IJFS-13-3_007

تاریخ نمایه سازی: 28 خرداد 1401

Abstract:

This paper proposes a quadratic programming method (QPM) for ranking alternatives based on multiplicative preference relations (MPRs) and fuzzy preference relations (FPRs). The proposed QPM can be used for deriving a ranking from either a MPR or a FPR, or a group of MPRs, or a group of FPRs, or their mixtures. The proposed approach is tested and examined with two numerical examples, and comparative analyses with the existing methods are provided to show the effectiveness and advantages of the QPM.

Keywords:

Quadratic programming , Group decision making (GDM) , Multiplicative preference relation (MPR) , Fuzzy preference relation (FPR) , Ranking alternatives

Authors

Yejun Xu

State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, No.۱ Xikang Road, Nanjing, ۲۱۰۰۹۸, Jiangsu,China and Business School, Hohai University, Jiangning Campus, No.۸ Focheng West Road, Jiangning, Nanjing,

Qianqian Wang

State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, No.۱ Xikang Road, Nanjing, ۲۱۰۰۹۸, Jiangsu, China and Business School, Hohai University, Jiangning Campus, No.۸ Focheng West Road, Jiangning, Nanjing,

Huimin Wang

State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, No.۱ Xikang Road, Nanjing, ۲۱۰۰۹۸, Jiangsu, China and Business School, Hohai University, Jiangning Campus, No.۸ Focheng West Road, Jiangning, Nanjing,

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