A New Approach to Derive Priority Weights from Additive Interval Fuzzy Preference Relations Based on Logarithms
المؤلفون المشاركون
Zhang, Hongjun
Hao, Wenning
Yin, Chengxiang
Qi, Xiuli
Kang, Xingdang
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2018، العدد 2018 (31 ديسمبر/كانون الأول 2018)، ص ص. 1-11، 11ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2018-10-23
دولة النشر
مصر
عدد الصفحات
11
التخصصات الرئيسية
الملخص EN
This paper investigates the consistency definition and the weight-deriving method for additive interval fuzzy preference relations (IFPRs) using a particular characterization based on logarithms.
In a recently published paper, a new approach with a parameter is developed to obtain priority weights from fuzzy preference relations (FPRs), then a new consistency definition for the additive IFPRs is defined, and finally linear programming models for deriving interval weights from consistent and inconsistent IFPRs are proposed.
However, the discussion of the parameter value is not adequate and the weights obtained by the linear models for inconsistent IFPRs are dependent on alternative labels and not robust to permutations of the decision makers’ judgments.
In this paper, we first investigate the value of the parameter more thoroughly and give the closed form solution for the parameter.
Then, we design a numerical example to illustrate the drawback of the linear models.
Finally, we construct a linear model to derive interval weights from IFPRs based on the additive transitivity based consistency definition.
To demonstrate the effectiveness of our proposed method, we compare our method to the existing method on three numerical examples.
The results show that our method performs better on both consistent and inconsistent IFPRs.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Kang, Xingdang& Hao, Wenning& Zhang, Hongjun& Qi, Xiuli& Yin, Chengxiang. 2018. A New Approach to Derive Priority Weights from Additive Interval Fuzzy Preference Relations Based on Logarithms. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1207064
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Kang, Xingdang…[et al.]. A New Approach to Derive Priority Weights from Additive Interval Fuzzy Preference Relations Based on Logarithms. Mathematical Problems in Engineering No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1207064
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Kang, Xingdang& Hao, Wenning& Zhang, Hongjun& Qi, Xiuli& Yin, Chengxiang. A New Approach to Derive Priority Weights from Additive Interval Fuzzy Preference Relations Based on Logarithms. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1207064
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1207064
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر