A multi-granularity proportional hesitant fuzzy linguistic TODIM method and its application to emergency decision making

Liang, Yingying; Tu, Yan; Ju, Yanbing; Shen, Wenjing

doi:10.1016/j.ijdrr.2019.101081

Cited by 46 publications

(22 citation statements)

References 39 publications

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“…We will obtain n comparison matrices in total which are shown in the equation 9, and the jr w is the relative importance weight of the criterion j C and r w is the maximum value of all the importance weights, the specific calculation process is shown in the equation 9- (11). [19].…”

Section: The Todim Algorithmmentioning

confidence: 99%

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The Identification of Poverty Alleviation Targets Based on the Multiple Hybrid Decision-Making Algorithms

Wang

Zhou

2020

IEEE Access

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The poverty alleviation problem as one of the social evaluation applications has long been a major focus of the social problems. As the basis and starting step of the poverty alleviation project, it is crucial to accurately identify the targets of poverty alleviation. Therefore, first of all, it is necessary to establish a scientific and reasonable indicators system and then evaluate all the indicator values respectively. However, in the process of data evaluation, we found that it is often hard to decide the unique valuation of some indicators because of the hesitation among different possible valuations. Different from the traditional algorithms using a single indicator valuation, the paper uses Pythagorean fuzzy sets (PFSs) to keep possible valuations from the positive and negative aspects to overcome the hesitation in the data evaluation process. The paper considers the problem of identifying the poverty alleviation targets as a multi-criteria decision making (MCDM) problem and then proposes a modified algorithm to solve the problem on the basis of several traditional algorithms. The algorithm work well and can obtain the maximum group utility and the minimum individual regret at the same time in the following experiments. The optimal poverty alleviation targets have been found and the poverty ranking list has also obtained through the algorithm. INDEX TERMS Pythagorean fuzzy sets, Multi-criteria decision making problem, Precise poverty alleviation, Fuzzy decision making.

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Section: The Todim Algorithmmentioning

confidence: 99%

“…Step 7: Construct the ideal solution * D and the worst solution D  through the total dominance matrix according to the equation (18) and (19)…”

Section: )mentioning

confidence: 99%

The Identification of Poverty Alleviation Targets Based on the Multiple Hybrid Decision-Making Algorithms

Wang

Zhou

2020

IEEE Access

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“…More specifically, the proportions with respect to each generalized linguistic terms in the representation model indicates the support of each expert to the group efforts. Several theoretical extensions and real-life applications of PHFLS have demonstrated that it effectively avoid the information loss, eliminate information distortion, and facilitate the process of CW [42,43,44].…”

Section: Preliminariesmentioning

confidence: 99%

Evaluation and Selection of HazMat Transportation Alternatives: A PHFLTS- and TOPSIS-Integrated Multi-Perspective Approach

Chen

Kong

et al. 2019

IJERPH

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Outsourcing the hazardous materials (HazMat) transportation is an effective way for manufacturing enterprises to avoid risks and accidents as well as to retain sustainable development in economic growth and social inclusion while not bringing negative impacts on the public and the environment. It is imperative to develop viable and effective approaches to selecting the most appropriate HazMat transportation alternatives. This paper aims at proposing an integrated multi-criteria group decision making approach that combines proportional hesitant fuzzy linguistic term set (PHFLTS) and the Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) to address the problem of HazMat transportation alternative evaluation and selection. PHFLTSs are adopted to represent the congregated individual evaluations in a bid to avoid information loss and increase the reliability of results. Two weight assignment models are then proposed to determine the comprehensive weights of experts and criteria. Furthermore, several novel manipulations of PHFLTS are also defined to enrich its applicability. The TOPSIS method is subsequently extended to the context of PHFLTSs to rank alternatives and choose the best one. Eventually, the feasibility and validity of the proposed approach are verified by a practical case study of a HazMat transportation alternative evaluation and selection decision and further comparison analyses.

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“…Owing to the uncertainty and fuzziness of such emergency problems, it is difficult for decision makers (DMs) to determine alternatives with real numbers to make quick decisions. The accurate processing of information has become an unavoidable problem in the development of the emergency decision [ 1 , 2 , 3 ] field. Under this urgent demand, fuzzy set theory, which can deal well with the uncertainty of decision-making problems, came into being [ 4 ].…”

Section: Introductionmentioning

confidence: 99%

A New Multi-Attribute Emergency Decision-Making Algorithm Based on Intuitionistic Fuzzy Cross-Entropy and Comprehensive Grey Correlation Analysis

et al. 2020

Entropy

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Intuitionistic fuzzy distance measurement is an effective method to study multi-attribute emergency decision-making (MAEDM) problems. Unfortunately, the traditional intuitionistic fuzzy distance measurement method cannot accurately reflect the difference between membership and non-membership data, where it is easy to cause information confusion. Therefore, from the intuitionistic fuzzy number (IFN), this paper constructs a decision-making model based on intuitionistic fuzzy cross-entropy and a comprehensive grey correlation analysis algorithm. For the MAEDM problems of completely unknown and partially known attribute weights, this method establishes a grey correlation analysis algorithm based on the objective evaluation value and subjective preference value of decision makers (DMs), which makes up for the shortcomings of traditional model information loss and greatly improves the accuracy of MAEDM. Finally, taking the Wenchuan Earthquake on May 12th 2008 as a case study, this paper constructs and solves the ranking problem of shelters. Through the sensitivity comparison analysis, when the grey resolution coefficient increases from 0.4 to 1.0, the ranking result of building shelters remains stable. Compared to the traditional intuitionistic fuzzy distance, this method is shown to be more reliable.

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A multi-granularity proportional hesitant fuzzy linguistic TODIM method and its application to emergency decision making

Cited by 46 publications

References 39 publications

The Identification of Poverty Alleviation Targets Based on the Multiple Hybrid Decision-Making Algorithms

The Identification of Poverty Alleviation Targets Based on the Multiple Hybrid Decision-Making Algorithms

Evaluation and Selection of HazMat Transportation Alternatives: A PHFLTS- and TOPSIS-Integrated Multi-Perspective Approach

A New Multi-Attribute Emergency Decision-Making Algorithm Based on Intuitionistic Fuzzy Cross-Entropy and Comprehensive Grey Correlation Analysis

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