Some Similarity Measures for Triangular Fuzzy Number and Their Applications in Multiple Criteria Group Decision-Making

المؤلفون المشاركون

Zhang, Liyuan
Xu, Xuanhua
Tao, Li

المصدر

Journal of Applied Mathematics

العدد

المجلد 2013، العدد 2013 (31 ديسمبر/كانون الأول 2013)، ص ص. 1-7، 7ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2013-03-28

دولة النشر

مصر

عدد الصفحات

7

التخصصات الرئيسية

الرياضيات

الملخص EN

We propose some similarity measures between two triangular fuzzy numbers (TFNs) based on the vector similarity measures in vector space, which can be used to aggregate the decision information with TFNs.

A methodology for multiple criteria group decision-making (MCGDM) problems with triangular fuzzy information is proposed; the criteria values take the form of linguistic values, which can be converts to TFNs.

According to the weighted similarity measures between each alternative and ideal alternative, it is easy to rank alternatives and select the most desirable alternative.

Finally, we apply the proposed methods to an illustrative example of MCGDM; the numerical results show that our method is effective and practical.

For comparison, we also apply our similarity measures method to solve the fuzzy decision-making problem in Wei (2011); our method has simpler computation and gets the same results more rapidly than the FLOWHM method.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Zhang, Liyuan& Xu, Xuanhua& Tao, Li. 2013. Some Similarity Measures for Triangular Fuzzy Number and Their Applications in Multiple Criteria Group Decision-Making. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-479691

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Zhang, Liyuan…[et al.]. Some Similarity Measures for Triangular Fuzzy Number and Their Applications in Multiple Criteria Group Decision-Making. Journal of Applied Mathematics No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-479691

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Zhang, Liyuan& Xu, Xuanhua& Tao, Li. Some Similarity Measures for Triangular Fuzzy Number and Their Applications in Multiple Criteria Group Decision-Making. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-479691

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-479691