Probabilistic Hesitant Intuitionistic Linguistic Term Sets in Multi-Attribute Group Decision Making

Malik, M. G. Abbas; Bashir, Zia; Rashid, Tabasam; Ali, Jawad

doi:10.3390/sym10090392

Cited by 32 publications

(30 citation statements)

References 35 publications

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“…There are many tools to represent uncertain or imprecise information, such as fuzzy numbers [17][18][19], intuitionistic fuzzy sets [20], the Z-number [21,22], hesitant fuzzy information [23], inherent fuzzy entropy [24,25], linguistic information [26], Deng entropy [27,28], the R-number [29], rough sets [30], etc. Among them, linguistic information is related to human language, which has been widely employed to represent the evaluation information during the processes of decision-making [31][32][33].…”

Section: Introductionmentioning

confidence: 99%

An Emergency Decision-Making Method for Probabilistic Linguistic Term Sets Extended by D Number Theory

2020

Symmetry

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Emergency decision-making has become as one of the hot issues in recent years. The aim of emergency decision-making is to reduce the casualties and property losses. All the processes of emergency decision-making are full of incompleteness and hesitation. The problem of emergency decision-making can be regarded as one of the multi-attribute decision-making (MADM) problems. In this manuscript, a new method to solve the problem of emergency decision-making named D-PLTS is proposed, based on D number theory and the probability linguistic term set (PLTS). The evaluation information given by experts is tidied to be the form of PLTS, which can be directly transferred to the form of the D number, no matter whether the information is complete or not. Furthermore, the integration property of D number theory is carried out to fuse the information. Besides, two examples are given to demonstrate the effectiveness of the proposed method. Compared with some existing methods, the D-PLTS is more straightforward and has less computational complexity. Allocation weights that are more reasonable is the future work for the D-PLTS method.

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Section: Introductionmentioning

confidence: 99%

An Emergency Decision-Making Method for Probabilistic Linguistic Term Sets Extended by D Number Theory

2020

Symmetry

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“…A simple example of evaluating the sales of a new product can be "60% sure high and 40% sure very high, and it cannot be bad". Therefore, Malik et al [27] proposed probabilistic hesitant intuitionistic fuzzy linguistic term sets (PHIFLTSs), which facilitated experts to express their judgment about membership and non-membership information in linguistic terms simultaneously to cope with such complicated and ambiguous situations in the real-world.…”

Section: Introductionmentioning

confidence: 99%

“…(1) The existing PHIFLTSs proposed in [27] are based on the direct calculation between subscripts of linguistic terms and their associated probabilities. However, a great deal of important defects for these operations appear in some situations.…”

Section: Introductionmentioning

confidence: 99%

Probabilistic Hesitant Intuitionistic Fuzzy Linguistic Term Sets and Their Application in Multiple Attribute Group Decision Making

Peng

Tao

et al. 2020

Symmetry

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Multi-attribute group decision-making (MAGDM) is widely applied to various areas for solving real-life problems, including technology selection, credit assessment, strategic planning evaluation, supplier selection, etc. To describe the complex and imprecise cognition, it is more convenient to provide the decision-making information in linguistic terms rather than concrete numerical values. Thus, several linguistic models, such as the fuzzy linguistic approach (FLA), hesitant fuzzy linguistic term sets (HFLTSs), hesitant intuitionistic fuzzy linguistic term sets (HIFLTSs), and probabilistic linguistic term sets (PLTS) have been proposed successively. Due to the flexibility and comprehensiveness of PLTS, it has aroused growing concern. However, it also has a big limitation of requiring the membership degree to be 1 by default, and it does not consider the degree of non-membership and hesitancy of a linguistic variable. Therefore, the probabilistic hesitant intuitionistic fuzzy linguistic term sets (PHIFLTSs) have been presented to extend the PLTS by combining the membership and non-membership in symmetry to depict the evaluation of the experts. To overcome the existing shortcomings and enrich the methodology framework of PHIFLTSs, some novel operational laws are defined to extend the applicability and methodology of the PHIFLTSs in MAGDM. Furthermore, the distance and correlation measures for the PHIFLTSs are improved to make up the shortage of the current distance measures. In addition, the unbalanced linguistic terms are taken into account to represent the cognitive complex information of experts. At last, a MAGDM model based on the multiplicative multi-objective optimization by ratio analysis (MULTIMOORA) approach with the use of the developed novel operational laws and correlation measures is presented, which results in more accuracy and effectiveness. A real-word application example is presented to demonstrate the working of the proposed methodology. Moreover, a thorough comparison is done with related existing works in order to show the validity of this methodology.

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“…Atanassov [1] provided a new methodology to deal with fuzzy information, called intuitionistic fuzzy sets (IFSs). Thus, IFSs have been widely and successfully applied in MAGDM [2][3][4][5][6][7][8]. IFSs are constructed by a series of order pairs, called intuitionistic fuzzy numbers (IFNs), having a membership and a non-membership degree.…”

Section: Introductionmentioning

confidence: 99%

Some q-Rung Picture Fuzzy Dombi Hamy Mean Operators with Their Application to Project Assessment

Wang

Zhang

et al. 2019

Mathematics

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The recently proposed q-rung picture fuzzy set (q-RPFSs) can describe complex fuzzy and uncertain information effectively. The Hamy mean (HM) operator gets good performance in the process of information aggregation due to its ability to capturing the interrelationships among aggregated values. In this study, we extend HM to q-rung picture fuzzy environment, propose novel q-rung picture fuzzy aggregation operators, and demonstrate their application to multi-attribute group decision-making (MAGDM). First of all, on the basis of Dombi t-norm and t-conorm (DTT), we propose novel operational rules of q-rung picture fuzzy numbers (q-RPFNs). Second, we propose some new aggregation operators of q-RPFNs based on the newly-developed operations, i.e., the q-rung picture fuzzy Dombi Hamy mean (q-RPFDHM) operator, the q-rung picture fuzzy Dombi weighted Hamy mean (q-RPFDWHM) operator, the q-rung picture fuzzy Dombi dual Hamy mean (q-RPFDDHM) operator, and the q-rung picture fuzzy Dombi weighted dual Hamy mean (q-RPFDWDHM) operator. Properties of these operators are also discussed. Third, a new q-rung picture fuzzy MAGDM method is proposed with the help of the proposed operators. Finally, a best project selection example is provided to demonstrate the practicality and effectiveness of the new method. The superiorities of the proposed method are illustrated through comparative analysis.

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Probabilistic Hesitant Intuitionistic Linguistic Term Sets in Multi-Attribute Group Decision Making

Cited by 32 publications

References 35 publications

An Emergency Decision-Making Method for Probabilistic Linguistic Term Sets Extended by D Number Theory

An Emergency Decision-Making Method for Probabilistic Linguistic Term Sets Extended by D Number Theory

Probabilistic Hesitant Intuitionistic Fuzzy Linguistic Term Sets and Their Application in Multiple Attribute Group Decision Making

Some q-Rung Picture Fuzzy Dombi Hamy Mean Operators with Their Application to Project Assessment

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