A multi-attribute group decision-making method based on weighted geometric aggregation operators of interval-valued trapezoidal fuzzy numbers

Лю, Пэйдэ; Fang, Jye‐Siung

doi:10.1016/j.apm.2011.09.006

Cited by 122 publications

(83 citation statements)

References 16 publications

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“…Fuzzy number is therefore introduced to be an effective extension to characterize the vagueness and uncertainty in the data process [81]. Interval number [152,153], triangular fuzzy number [25,154], trapezoidal fuzzy number [12], intuitionistic fuzzy number [155], two-tuple linguistic information [156], generalized interval trapezoidal fuzzy number [157], and other different forms of fuzzy number have been widely applied to be information aggregation under the VIKOR method, but there are hardly any applications introducing IVTFN into the VIKOR method, and this fuzzy number is seldom used to describe the characteristics of indicators for sustainable suppliers. As Kuo and Liang [27] and Lin and Tseng [26] have verified the applicability and effectiveness of the IVTFN in performance evaluation, we thereby consider introducing this data type into the SSS problem as the semantic expression of qualitative indicators.…”

Section: Supplier Selection Methodsmentioning

confidence: 99%

An Integrated Sustainable Supplier Selection Approach Based on Hybrid Information Aggregation

Zhou

Zhang

2018

Sustainability

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With a great emphasis on both social and environmental responsibilities, sustainable supply chain management has gradually been adopted and promoted as an innovative business model. In sustainable supply chain practice, the choice of sustainable suppliers relates to the long-term development of a company. While the environmental performance of suppliers has been commonly considered, the social dimension has not yet received enough attention. This paper first proposes a novel criteria system for evaluating sustainable suppliers from three aspects and six dimensions, and then introduces an integrated evaluation model with a novel hybrid information aggregation. To verify the applicability and effectiveness of the proposed method, a real case of a large supermarket is introduced and analyzed. The research results show that (1) the indicator system based on Triple Bottom Line theory can serve as a framework of sustainable supplier selection for manufacturing and circulation enterprises; (2) the introduction of hybrid information aggregation can effectively handle the uncertainties of indicator scores under the realistic fuzzy environment and objectively reflect the intentions of the scorers; and (3) in comparison with the TOPSIS algorithm, the priority order finally obtained is consistent, but the proposed model shows more robustness in the sensitivity test.

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Section: Supplier Selection Methodsmentioning

confidence: 99%

An Integrated Sustainable Supplier Selection Approach Based on Hybrid Information Aggregation

Zhou

Zhang

2018

Sustainability

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“…In Fuzzy set theory, linguistic terms are used to evaluate different subjective attributes (Wong & Lai, 2011;Chan, Kwong, & Hu, 2012 ), for example, ''Very Low '', ''Low'', ''Medium'', ''High'', ''Very High'', ''Very Poor'', ''Poor'', ''Fair'', ''Good'', ''Very Good'', etc. (Jacobsen, 2002;Lao, Wu, Wang, & McAllister, 2012;Li, Dai, & Tseng, 2011a;Liu & Jin, 2012;Wang et al, 2012). These linguistic variables are well suitable to transform into fuzzy numbers.…”

Section: Literature Reviewmentioning

confidence: 98%

A fuzzy-based customer clustering approach with hierarchical structure for logistics network optimization

Wang

Lao

et al. 2014

Expert Systems with Applications

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“…Atanassov proposed the intuitionistic fuzzy sets (IFSs) [2][3][4], which are a generalization of the FSs. The introduction of IFSs proves to be very meaningful and practical and has been found to be highly useful to deal with vagueness [5][6][7][8][9][10][11][12]. Atanassov and Gargov further introduced the concept of interval-valued intuitionistic fuzzy sets (IVIFSs) [13] as a generalization of that of IFSs, whose components are intervals rather than exact numbers.…”

Section: Introductionmentioning

confidence: 99%

Interval‐Valued Hesitant Fuzzy Multiattribute Group Decision Making Based on Improved Hamacher Aggregation Operators and Continuous Entropy

Liu

Zhou

Zhuang

et al. 2017

Mathematical Problems in Engineering

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Under the interval-valued hesitant fuzzy information environment, we investigate a multiattribute group decision making (MAGDM) method with continuous entropy weights and improved Hamacher information aggregation operators. Firstly, we introduce the axiomatic definition of entropy for interval-valued hesitant fuzzy elements (IVHFEs) and construct a continuous entropy formula on the basis of the continuous ordered weighted averaging (COWA) operator. Then, based on the Hamacher t-norm and t-conorm, the adjusted operational laws for IVHFEs are defined. In order to aggregate interval-valued hesitant fuzzy information, some new improved interval-valued hesitant fuzzy Hamacher aggregation operators are investigated, including the improved interval-valued hesitant fuzzy Hamacher ordered weighted averaging (I-IVHFHOWA) operator and the improved interval-valued hesitant fuzzy Hamacher ordered weighted geometric (I-IVHFHOWG) operator, the desirable properties of which are discussed. In addition, the relationship among these proposed operators is analyzed in detail. Applying the continuous entropy and the proposed operators, an approach to MAGDM is developed. Finally, a numerical example for emergency operating center (EOC) selection is provided, and comparative analyses with existing methods are performed to demonstrate that the proposed approach is both valid and practical to deal with group decision making problems.

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A multi-attribute group decision-making method based on weighted geometric aggregation operators of interval-valued trapezoidal fuzzy numbers

Cited by 122 publications

References 16 publications

An Integrated Sustainable Supplier Selection Approach Based on Hybrid Information Aggregation

An Integrated Sustainable Supplier Selection Approach Based on Hybrid Information Aggregation

A fuzzy-based customer clustering approach with hierarchical structure for logistics network optimization

Interval‐Valued Hesitant Fuzzy Multiattribute Group Decision Making Based on Improved Hamacher Aggregation Operators and Continuous Entropy

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