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

Yang, Qiang; Li, Yanlai; Chin, Kwai‐Sang

doi:10.2991/ijcis.d.190902.001

Cited by 16 publications

(8 citation statements)

References 49 publications

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“…If t t =0 p k+t < 1, then L( p) is a PLTS with the non-complete information of probabilistic distribution. Now PLTS decision methods, including operations, aggregation operators and consensusbased decision, have been studied (Bai et al 2017;Feng et al 2020;Jiang and Liao 2020;Liu and Teng 2019;Mao et al 2019;Chen et al , 2019Chen and Chin 2017;Yang et al 2019). By considering subjective evaluations of linguistic terms, FLM-DFN provides a flexible way to manage multi-granular linguistic terms in LDM.…”

Section: According Tomentioning

confidence: 99%

A novel linguistic decision-making method based on the voting model for large-scale linguistic decision making

Pei

2021

Soft Comput

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The notable characteristic of large-scale linguistic decision-making problems is that there are so many decision makers who provide linguistic assessments by using fuzzy linguistic representation models. In real-world applications, fuzzy linguistic terms mean different things for different people, and linguistic assessments based on different linguistic representation models may be simultaneous in the same large-scale linguistic decision-making problems. To this end, a novel linguistic decision-making method based on the voting model is proposed in the paper to deal with multi-linguistic assessments provided by decision makers. In large-scale linguistic decision process, evaluation-based voting is defined and multi-linguistic decision matrix is designed to represent multi-linguistic assessments provided by decision makers by using different linguistic representation models, and properties of the decision matrix are analyzed to show that linguistic assessments based on different linguistic representation models can be simultaneously represented. Based on multi-linguistic decision matrix, a new linguistic decision-making framework is developed to deal with large-scale linguistic decision-making problems with multi-linguistic assessments, in which normalization of multi-linguistic decision matrix and trust degrees of linguistic terms are contained, and more important, based on trust degrees of linguistic terms and 2-tuple fuzzy linguistic aggregation operators, an uniform fusion method of multi-linguistic assessments is proposed to aggregate multi-linguistic assessments of large-scale linguistic decision-making problems. Finally, user experiences of shared bikes, which are a large-scale linguistic decision-making problem in real-world applications, are employed to show the new decision-making framework and the uniform fusion method of multi-linguistic assessments, and furthermore, compared with existing linguistic decision-making methods analyzed in the example, it seems that multi-linguistic decision matrix and the uniform fusion method are useful and effective tools to deal with large-scale linguistic decision-making problems with multi-linguistic assessments.

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Section: According Tomentioning

confidence: 99%

A novel linguistic decision-making method based on the voting model for large-scale linguistic decision making

Pei

2021

Soft Comput

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“…f:0,g→0,1,fsi=Indsig=ig=γi,f−1:0,1→0,g,f−1γi=sγi×g=si, where Ind()si represents a function to derive the subscript of linguist term si. Based on the proposed transformation function, Yang et al [24] proposed the basic operational laws for the computational manipulations of PHFLTS.…”

Section: Preliminariesmentioning

confidence: 99%

“…([24]) . Let S={}|sii=0,1,⋯,g be an LTS, and let PHS1()ϑ={}|si1k,pk*si1k∈S,0≤pk*≤1,∑k=1Kpk*=1,i=0,1,⋯g and PHS2()ϑ={}|si2k,pk*si2k∈S,0≤pk*≤1,∑k=1Kpk*=1,i=0,1,⋯g be two PHFLTSs with the same proportional vector boldP=p1,p1,⋯,…”

Section: Preliminariesmentioning

confidence: 99%

“…Based on the analysis, proportional HFLTS (PHFLTS) was introduced into the study for information representation. On the other hand, evaluation and selection of alternatives is an MCGDM problem, in which both the weights of experts and criteria would influence the decision results [24,25]. Therefore, it is necessary to derive the weights of experts and criteria comprehensively.…”

Section: Introductionmentioning

confidence: 99%

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

Chen

Kong

et al. 2019

IJERPH

Self Cite

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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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“…Exploring the method and connection of mutual transformation between the uncertainty and certainty in knowledge are the direction of the e orts of many scienti c researchers in related elds. In order to continuously adapt to the needs of practical applications, a series of theoretical results such as fuzzy random variables [1][2][3], hesitant fuzzy linguistic term sets [4,5], and membership functions [6] have been derived based on the theories of random variables, fuzzy set theory [7], and possibility distributions [8,9]. ese theoretical results have been widely used in many elds such as economy, transportation, engineering, and service satisfaction.…”

Section: Introductionmentioning

confidence: 99%

Application of the Cloud Model Synthesis Method in Ecological Evaluation of Waterways

Chen

Wang

Zhu

et al. 2022

Mathematical Problems in Engineering

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The cloud model synthesis method based on the membership cloud theory combines the fuzziness and randomness of uncertain problems in reality and is a model that can realize the transformation between qualitative concepts and quantitative data compared with the traditional fuzzy theory system. The theory and method are relatively lacking in the research work of waterway ecological evaluation. In view of the abovementioned characteristics and the advantages of wide applications of the membership cloud model, this paper takes the ecological evaluation of the Jingjiang River waterway as an example and applies the cloud model synthesis method to the comprehensive evaluation of waterway ecology. The cloud generator MATLAB code is used as a tool to combine the expert scoring data of the Jingjiang ecological waterway comprehensive evaluation system, and the clouding principle of human scoring variables is applied to conduct a comprehensive evaluation of the ecological nature of the Jingjiang waterway from 2011 to 2015. The results show that the cloud model synthesis method is applicable to the ecological evaluation of waterways and has the advantages of being applicable to subjective and objective data as well as retaining the uncertainty of each element in the evaluation system in the calculation process. This research can play a supplementary and perfect role for the method of waterway ecological evaluation.

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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

Cited by 16 publications

References 49 publications

A novel linguistic decision-making method based on the voting model for large-scale linguistic decision making

A novel linguistic decision-making method based on the voting model for large-scale linguistic decision making

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

Application of the Cloud Model Synthesis Method in Ecological Evaluation of Waterways

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