Distance measures on intuitionistic hesitant fuzzy set and its application in decision-making

Chen, Xiang; Suo, Chunfeng; Li, Yongming

doi:10.1007/s40314-021-01478-7

Cited by 14 publications

(8 citation statements)

References 44 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this case, entropy measure became widely acceptable method to determine the criterion weights. Inspired by Chen et al, 12 we propose a novel entropy measure of PHFEs in this section.…”

Section: Entropy Measuresmentioning

confidence: 99%

“…The distance and similarity measures of HFSs are useful in many practical applications, such as the MCDM problems, 12–16 pattern recognition, 17 and supplier selection 16 . Xu and Xia 18 put forward the definitions of distance and similarity measures of HFSs, and provided a case study of energy policy selection to illustrate the effectiveness of these measures.…”

Section: Introductionmentioning

confidence: 99%

“…In recent years, researchers have made substantial achievements in the fields of information measurement, information fusion, preference relationship, and the MCDM method of PHFSs, and the theoretical results have been applied to the fields of venture capital, 7 cluster analysis, 8,9 public opinion prediction, 10 and investment project selection. 11 The distance and similarity measures of HFSs are useful in many practical applications, such as the MCDM problems, [12][13][14][15][16] pattern recognition, 17 and supplier selection. 16 Xu and Xia 18 put forward the definitions of distance and similarity measures of HFSs, and provided a case study of energy policy selection to illustrate the effectiveness of these measures.…”

mentioning

confidence: 99%

See 2 more Smart Citations

Evaluation of the survival of Yangtze finless porpoise under probabilistic hesitant fuzzy environment

Wang

Jia

Zhang

2022

Int J of Intelligent Sys

View full text Add to dashboard Cite

Considering the significant advantages of probabilistic hesitant fuzzy sets (PHFSs) in the multicriteria decision-making (MCDM) problems and the limitations of existing methods for PHFSs, we develop an improved probabilistic hesitant fuzzy MCDM (PHF-MCDM) model based on distance measure of probabilistic hesitant fuzzy elements (PHFEs) in this study. First, the hesitant degree is proposed to measure the hesitation caused by the multiple membership degree and the corresponding preferences of decisionmakers in the PHFEs, then we put forward a series of distance measures and corresponding similarity measures of PHFE. Afterwards, we introduce the axiomatic definition of PHF entropies for PHFE, and then present the relation between distance measure and entropy measure. Finally, we develop a PHF-MCDM model that can solve completely unknown attribute weights, and provide a case study of Yangtze finless porpoise protection to verify the effectiveness of the proposed methods. Meanwhile, a comparison analysis with the previous method and sensitivity analysis are discussed.

show abstract

“…In this case, entropy measure became widely acceptable method to determine the criterion weights. Inspired by Chen et al, 12 we propose a novel entropy measure of PHFEs in this section.…”

Section: Entropy Measuresmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

See 1 more Smart Citation

Evaluation of the survival of Yangtze finless porpoise under probabilistic hesitant fuzzy environment

Wang

Jia

Zhang

2022

Int J of Intelligent Sys

View full text Add to dashboard Cite

show abstract

“…Ye 19 proposed an MADM method based on an extended TOPSIS method with IVIFVs. Chen X et al 20 introduced a method to construct a class of distance measures for the intuitionistic hesitant fuzzy set and proposed an extended intuitionistic hesitant fuzzy technique for order preference by similarity to an ideal solution, i.e., the TOPSIS method. With the technique for order preference by similarity to the TOPSIS method, Hou et al 21 built a group decision-making model.…”

Section: Ruipu Yao and Huijuan Guo *mentioning

confidence: 99%

A multiattribute group decision-making method based on a new aggregation operator and the means and variances of interval-valued intuitionistic fuzzy values

Yao

Guo

2022

Sci Rep

View full text Add to dashboard Cite

The development of information measures associated with interval-valued intuitionistic fuzzy values (IVIFVs) has been an important research area over the past few decades. In the literature, the existing decision -making method using IVIFVs has some drawbacks, and the identification degree and information utilization suffer from a gap in the evaluation of alternatives. Therefore, the need for a reliable, useful, and comprehensive decision method is obvious. To obtain more accurate and reliable evaluation results, multiattribute group decision-making (MAGDM) problems, where the same attribute weights given by different decision-makers are different, are studied in this paper. First, the novel operational laws of IVIFVs and a new interval-valued intuitionistic fuzzy weighted arithmetic aggregation operator are defined to overcome the drawbacks of the IIFWA aggregation operator and avoid losing or distorting the original decision information in the process of aggregation. Second, the mean and variance of the possibility degrees of IVIFVs are defined based on the concept of a definite integral. Third, a novel MAGDM method based on the new aggregation operator and the mean and variance of the possibility degrees of IVIFVs is proposed to improve the identification of the evaluation results and ensure the effectiveness of the ranking order. Finally, the effectiveness and practicability of the proposed method are verified by an air combat training accuracy assessment example. This example can be used to assist decision-makers in evaluating air combat training hits in a timely and efficient manner, providing an objective, scientific basis for the realization and application of air combat training hit assessment and a new method and idea for MAGDM problems in an interval-valued intuitionistic fuzzy environment.

show abstract

“…12 Then, along with practical applications, theoretical development of HFSs was also considered by researchers. For example, aggregation operators and operation laws of HFSs, [12][13][14][15][16][17][18][19][20][21][22] score and variance of HFSs, 23 determining the distance between HFSs and their similarity, [24][25][26][27] correlation coefficient and entropy measure 25,26,28,29 are some of the mathematical concepts which are needed during their real applications.…”

Section: Introductionmentioning

confidence: 99%

Generalized hesitant fuzzy numbers: Introducing, arithmetic operations, aggregation operators, and an application

Keikha

2021

Int J of Intelligent Sys

View full text Add to dashboard Cite

show abstract

Distance measures on intuitionistic hesitant fuzzy set and its application in decision-making

Cited by 14 publications

References 44 publications

Evaluation of the survival of Yangtze finless porpoise under probabilistic hesitant fuzzy environment

Evaluation of the survival of Yangtze finless porpoise under probabilistic hesitant fuzzy environment

A multiattribute group decision-making method based on a new aggregation operator and the means and variances of interval-valued intuitionistic fuzzy values

Generalized hesitant fuzzy numbers: Introducing, arithmetic operations, aggregation operators, and an application

Contact Info

Product

Resources

About