An analysis of the generalized TODIM method

Llamazares, Bonifacio

doi:10.1016/j.ejor.2018.02.054

Cited by 113 publications

(48 citation statements)

References 34 publications

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“…In Eq. (27), is a predefined coefficient for expressing the subjective preference of DMs when making the final decision. Specifically, > 0.5 indicates that the final decision-making would be made based on the rule of maximizing the group utility, while < 0.5 indicates that the final decision-making would be made on the basis of minimizing the individual regret, and = 0.5 indicates that the decision-making strategy locates on a balanced way that considers the group utility and individuals regret equally.…”

Section: Extended Vikor Methods With Phfl Informationmentioning

confidence: 99%

“…The selection of decision-making approach is another important issue in MAGDM problems. A variety of MAGDM methods have been developed and applied for different decision environments for examples, the TOPSIS method [19][20][21][22][23], the PROMETHEE method [24,25], the TODIM method [16,26,27], and the VIKOR method [28,29]. Among these mentioned methods, VIKOR is an ideal point-based MAGDM method for dealing with discrete decision problems with non-commensurable and conflicting criteria [30].…”

Section: Introductionmentioning

confidence: 99%

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Constructing Novel Operational Laws and Information Measures for Proportional Hesitant Fuzzy Linguistic Term Sets with Extension to PHFL-VIKOR for Group Decision Making

Yang¹,

Li²,

Chin³

2019

IJCIS

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To obtain reliable results in a qualitative multi-attribute group decision-making (MAGDM) problem, how to retain the evaluation information as much as possible and how to determine the reasonable weights of experts and attributes are two important issues. Proportional hesitant fuzzy linguistic term set (PHFLTS) is beneficial for retaining evaluation information as it would consider the linguistic terms and corresponding proportional information simultaneously. However, PHFLTS is a relatively new concept. Some novel manipulations, such as comparison, arithmetic operations, aggregation operators, and cosine similarity and distance measures are defined in this study with the purpose of improving the completeness and applicability of PHFLTS. Furthermore, cosine similarity measure-based weight determination model and entropy measure-based weight determination model under proportional hesitant fuzzy linguistic (PHFL) environment are constructed to derive the objective weights of experts and those of attributes as well. Subsequently, an integrated weighting model is proposed to determine the comprehensive weights of experts and attributes. Based on the defined operational laws for PHFLTS and comprehensive weighting model, two MAGDM methods, PHFL aggregation operator-based method and extended PHFL-VIKOR method, are developed to deal with MAGDM problems with PHFL information. To demonstrate the applicability, efficiency, and advantages of the proposed MAGDM methods, an illustrative example and a comparison example are provided.

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Section: Extended Vikor Methods With Phfl Informationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Constructing Novel Operational Laws and Information Measures for Proportional Hesitant Fuzzy Linguistic Term Sets with Extension to PHFL-VIKOR for Group Decision Making

Yang¹,

Li²,

Chin³

2019

IJCIS

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“…Different measure definitions and relative proximity function may get different results. TODIM (an acronym in Portuguese of interactive and multi-criteria decision making) is a multi attribute decision making (MADM) method, which needn't select positive or negative ideal solution and can avoid the inaccurate result (Gomes & Lima, 1991;Llamazares, 2018;Wu, Wang, Hu, Ke, & Li, 2018;Mishra & Rani, 2018;Huang & Wei, 2018;Huang, Li, & Liu, 2017;Lourenzutti, Krohling, & Reformat, 2017;Jiang, X. Liang, & H. Liang, 2017). With the wide application in real life, it is designed to help people make effective evaluation, and to solve the defects of TOPSIS method and VIKOR method in the decision-making process.…”

Section: Introductionmentioning

confidence: 99%

The Evaluation of Ecosystem Health Based on Hybrid Todim Method for Chinese Case

Лю

Rong

Teng

2019

Technological and Economic Development of Economy

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The health evaluation of urban ecosystem is the need of urban sustainable development and the construction of urban ecological civilization, in order to scientifically evaluate the ecosystem health, in this paper, we establish the mathematical model based on hybrid multiple attributes decision-making. Firstly, we introduce the original city ecosystem health evaluation indexes which reflect on Vitality, Composition Structure, Recovery Capacity, The Ecological System Continually Offering Service Function, Population Health and Ecosystem Cognition ecosystem health. Then in order to obtain the reasonable weights, we integrate the subjective weights by linguistic AHP method and objective weights by deviation maximization method, and get the combined weights for city ecosystem health evaluation indexes. Further, according to the characteristics of the different indexes, we propose an extended TODIM method to evaluate the city ecosystem health in which the indexes take the form of real number, interval number, and probabilistic linguistic term set. Moreover, with respect to the evaluation values of city ecosystem health in Jinan from 2011 to 2015, this paper evaluates the health status of Jinan ecological system, and analyzes the role of various indicators in the process of city ecological development. Result shows that: (1) Jinan ecosystem health status remained at the sub-health state from 2011 to 2015, and the ecological situation is not optimistic. (2) Prominent problems restricting are lack of investment in environmental protection efforts, increasing pollutant emissions, and imperfect industrial structure. To solve the problems in the healthy development of Jinan urban ecosystem, this paper puts forward corresponding countermeasures and suggestions to improve the healthy development of urban ecosystem.

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“…Hu et al proposed [30] a new decision model by combining the TODIM method and a three-way decision model. Llamazares put forward [31] a generalization of the TODIM method that avoided the previous paradoxes.…”

Section: Introductionmentioning

confidence: 99%

Improved TODIM Method Based on Linguistic Neutrosophic Numbers for Multicriteria Group Decision-Making

Лю¹,

You²

2019

IJCIS

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A B S T R A C TThe TODIM (an acronym in Portuguese for interactive multicriteria decision-making) method can consider the decisionmakers' (DMs') psychological behavior. However, the classical TODIM method has been unable to address fuzzy information such as the linguistic neutrosophic number (LNN), which is an effective tool to represent uncertainty. In this paper, an extended TODIM method is proposed to solve multicriteria group decision-making (MCGDM) problems in a linguistic neutrosophic environment. First, the definitions and characteristics of the classical TODIM and the LNNs are introduced. Then, an improved score function (SF) of LNNs is proposed. Furthermore, we obtain the combined weights of the criteria and aggregate individual decision matrices into a group decision matrix. The classical TODIM method is extended to address MCGDM problems with LNNs, and specific decision steps are provided. Finally, several examples are given to verify the effectiveness and superiority of the proposed approach by comparison with some existing methods. Rashno et al. utilized [11] NSs and graph algorithms to present a fully automated algorithm in the healthcare industry. Fan et al.proposed [12] a neutrosophic Hough transform (NHT) method to improve the track initiation monitoring capacity in an uncertain environment.In practice, people are used to giving their opinions in qualitative terms, such as "excellent, " "fair, " and "worse. " At this point, Zadeh defined [13] linguistic variables (LVs) to describe words or sentences in natural language. Since then, many studies on linguistic decision-making problems have been conducted. Wu et al. put forward [14] the maximum support degree model to guarantee the accuracy of group opinion based on linguistic distributions. Zhang et al. established [15] a new decision support model with 2-tuple linguistic terms that provided a basis for emergency decision-making. Furthermore, there are many extensions of LVs to accurately express evaluation information. Based on the FS model, Rodríguez et al. proposed [16] the concept of a hesitant fuzzy linguistic term set (HFLTS) in which a DM may hesitate among several LVs to define the TM. Analogously, Chen and Liu defined [17] the linguistic intuitionistic fuzzy numbers (LIFNs) that represent the TM and FM by LVs. However, the above linguistic forms reflect only the TM (and FM), and thus they are insufficient to accommodate uncertain and inconsistent information. Therefore, Fang and Ye introduced [18] the concept of linguistic neutrosophic numbers (LNNs) based on NS, which is characterized by describing the TM, IM, and FM of each element in a universe using three LVs.For MCGDM problems, there are two common methods to help DMs select the optimal proposal from a variety of alternatives. One method uses aggregation operators that integrate the evaluation Pdf_Folio:1

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An analysis of the generalized TODIM method

Cited by 113 publications

References 34 publications

Constructing Novel Operational Laws and Information Measures for Proportional Hesitant Fuzzy Linguistic Term Sets with Extension to PHFL-VIKOR for Group Decision Making

Constructing Novel Operational Laws and Information Measures for Proportional Hesitant Fuzzy Linguistic Term Sets with Extension to PHFL-VIKOR for Group Decision Making

The Evaluation of Ecosystem Health Based on Hybrid Todim Method for Chinese Case

Improved TODIM Method Based on Linguistic Neutrosophic Numbers for Multicriteria Group Decision-Making

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