2018
DOI: 10.3390/a11080120
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Probabilistic Interval-Valued Hesitant Fuzzy Information Aggregation Operators and Their Application to Multi-Attribute Decision Making

Abstract: Based on the probabilistic interval-valued hesitant fuzzy information aggregation operators, this paper investigates a novel multi-attribute group decision making (MAGDM) model to address the serious loss of information in a hesitant fuzzy information environment. Firstly, the definition of probabilistic interval-valued hesitant fuzzy set will be introduced, and then, using Archimedean norm, some new probabilistic interval-valued hesitant fuzzy operations are defined. Secondly, based on these operations, the g… Show more

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Cited by 21 publications
(16 citation statements)
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“…In order to address such refusal-oriented cases, Zhu and Xu [39] corroborated probabilistic hesitant fuzzy sets (PHFSs). Wu et al [40] gave the notion of AOs on interval-valued PHFSs (IVPHFSs) whereas Zhang et al [41] worked on preference relations based on IVPHFSs and accessed the findings by applying to real life decision scenarios. Hao et al [42] corroborated the concept of PDHFSs.…”
Section: Introductionmentioning
confidence: 99%
“…In order to address such refusal-oriented cases, Zhu and Xu [39] corroborated probabilistic hesitant fuzzy sets (PHFSs). Wu et al [40] gave the notion of AOs on interval-valued PHFSs (IVPHFSs) whereas Zhang et al [41] worked on preference relations based on IVPHFSs and accessed the findings by applying to real life decision scenarios. Hao et al [42] corroborated the concept of PDHFSs.…”
Section: Introductionmentioning
confidence: 99%
“…Finally, a numerical example for the safety assessment of construction projects was proposed to illustrate the new method and some comparisons were also conducted to further illustrate the advantages of the new method. In the future, the application of the proposed models and methods of 2TLNNs can be investigated in MAGDM problems [42][43][44][45][46][47][48][49][50][51][52][53], risk analysis and many other uncertain and fuzzy environments [54][55][56][57][58][59][60][61][62][63][64][65].…”
Section: Discussionmentioning
confidence: 99%
“…In order to facilitate the DMs, Wu et al [60] presented some aggregation actions such as the generalized probabilistic interval-valued hesitant fuzzy ordered weighted averaging (GPIVHFOWA) operator and the generalized probabilistic interval-valued hesitant fuzzy ordered weighted geometric (GPIVHFOWG) operator.…”
Section: Definition 6 Leth(mentioning
confidence: 99%
“…Step 2. Based on action operators GPIVHFOWA and PIVH-FOWG presented by Wu et al [60], calculate the probabilistic values ( , ) ( = 1, 2, 3, 4; = 1, 2, 3, 4) of each alternative against the given criteria.…”
Section: Multiple Criteria Decision Making With Probabilistic Intervamentioning
confidence: 99%