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Grey Relational Analysis for Hesitant Fuzzy Sets and Its Applications to Multiattribute Decision-Making
المؤلفون المشاركون
Guan, Xin
Yi, Xiao
Zhao, Jing
Sun, Guidong
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
2018-05-06
دولة النشر
مصر
عدد الصفحات
11
التخصصات الرئيسية
الملخص EN
Due to the superiority in expressing the uncertain and vague information, the hesitant fuzzy set (HFS) is regarded as an important tool to deal with multiattribute decision-making (MADM) problems.
Quantitative and qualitative fuzzy measures have been proposed to solve such problems from different points.
However, most of the existing information measures for HFSs are related to such fuzzy measures as distance, similarity, entropy, and correlation coefficients.
The grey relational analysis is omitted.
Besides, the existing grey relational analysis for HFSs only considers the range or distance between HFSs data which is only a partial measure of the HFSs.
Therefore, in this paper, we improve the grey relational analysis for HFSs and explore a novel slope grey relational degree by considering another factor of HFSs data: the slope.
Further, we combine both the distance and slope factors of HFSs data to construct a synthetic grey relational degree that describes the closeness and variation tendency of HFSs simultaneously, greatly enriching the fuzzy measures of HFSs.
Furthermore, with the help of the TOPSIS method, we develop the grey relational based MADM methodology to solve the HFSs MADM problems.
Finally, combining with two practical MADM examples about energy policy selection and multisensor target recognition, we obtain the most desirable decision results.
Compared with the previous methods, the validity, comprehensiveness, and discrimination of the proposed synthetic grey relational degree for HFSs are demonstrated in detail.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Guan, Xin& Sun, Guidong& Yi, Xiao& Zhao, Jing. 2018. Grey Relational Analysis for Hesitant Fuzzy Sets and Its Applications to Multiattribute Decision-Making. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1208866
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Guan, Xin…[et al.]. Grey Relational Analysis for Hesitant Fuzzy Sets and Its Applications to Multiattribute Decision-Making. Mathematical Problems in Engineering No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1208866
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Guan, Xin& Sun, Guidong& Yi, Xiao& Zhao, Jing. Grey Relational Analysis for Hesitant Fuzzy Sets and Its Applications to Multiattribute Decision-Making. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1208866
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1208866
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
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