Distance and Similarity Measures for Intuitionistic Hesitant Fuzzy Sets

Chen, Xiuming; Li, Jingming; Li, Qian; Hu, Xiande

doi:10.2991/icaita-16.2016.46

Cited by 9 publications

(8 citation statements)

References 21 publications

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“…ii) In addition, some distance measures (Beg and Rashid, 2014a;Chen et al, 2016) produces same distance degrees for completely different IHFSs (Table 1) which is obviously not logical in nature. Whereas, the proposed distance measure produces different distance degrees for different IHFSs., which is a clear advantage of the proposed distance measure over distance measures introduced by (Beg and Rashid, 2014a;Chen et al, 2016).…”

Section: Advantages Of the Proposed Distance Measurementioning

confidence: 95%

“…In this section, we present numerical example to show the advantages of the proposed measure over the existing measures as defined by Beg and Rashid (2014a) and Chen et al (2016). As in these existing measures, there is a need to add extra elements to the IHFEs in the decision making to balance the length of each IHFEs.…”

Section: Advantages Of the Proposed Distance Measurementioning

confidence: 99%

“…Zhou et al (2015) presented a preference relation based group decision-making approach with hesitant intuitionistic fuzzy information. Chen et al (2016) presented distance measures for intuitionistic hesitant fuzzy sets. Chen and Huang (2017) presented a concept of hesitant triangular intuitionistic fuzzy sets and presented an algorithm for DM process with aggregation operators.…”

Section: Introductionmentioning

confidence: 99%

“…However, from this survey, we observe that the computational complexity of the some of the algorithm increases which may leads to give wrong decision to the final results. Also, we observe that, in Chen et al (2016) approach to measures the degree of dissimilarity between the two IHFSs the decision makers need to add extra elements in the IHFEs called decision makers risk preference. However, it is quite notices that when a decision maker adds extra element by himself/herself or some by methods in the deficit IHFEs, then biasness may occur, intentionally or unintentionally and the original information expressed in IHFSs may get deformed by adding extra elements.…”

Section: Introductionmentioning

confidence: 99%

“…obvious that different IHFSs may have different number of elements. A decision maker has to add extra elements in the shorter IHFEs to make them of equal length to evaluate distance measures proposed byChen et al (2016).…”

mentioning

confidence: 99%

See 4 more Smart Citations

Fuzzy Multi-Criteria Decision Making Algorithm under Intuitionistic Hesitant Fuzzy Set with Novel Distance Measure

Saikia¹,

Garg²,

Dutta³

2020

Int J Math, Eng, Manag Sci

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Decision making under uncertainty is a crucial issue and most demanding area of research now a days. Intuitionistic hesitant fuzzy set plays important role in dealing with the circumstances in which decision makers judge an alternative with a collection membership grades and a collection of non-membership grades. This paper contributes a novel and advanced distance measure between Intuitionistic Hesitant fuzzy sets (IHFSs). A comparative analysis of the present distance measure with existing measures is performed first. Afterwards, a case study is carried in multi-criteria decision making problem to exhibit the applicability and rationality of the proposed distance measure. The advantage of the proposed distance measure over the existing distance measures is that in case of deficit number of elements in IHFs, a decision maker can evaluate distance measure without adding extra elements to make them equivalent and furthermore, it works in successfully in all the situations.

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Section: Advantages Of the Proposed Distance Measurementioning

confidence: 95%

Section: Advantages Of the Proposed Distance Measurementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

See 3 more Smart Citations

Fuzzy Multi-Criteria Decision Making Algorithm under Intuitionistic Hesitant Fuzzy Set with Novel Distance Measure

Saikia¹,

Garg²,

Dutta³

2020

Int J Math, Eng, Manag Sci

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The cross-entropy and improved distance measures for complex q-rung orthopair hesitant fuzzy sets and their applications in multi-criteria decision-making

Лю

Mahmood

Ali

2021

Complex Intell. Syst.

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The complex q-rung orthopair fuzzy set (Cq-ROFS) is the extension of complex Pythagorean fuzzy set (CPFS) in which the sum of the q-power of the real part (imaginary part) of the support for and the q-power of the real part (imaginary part) of the support against is limited by one; however, it is difficult to express the hesitant information. In this study, the conception of complex q-rung orthopair hesitant fuzzy set (Cq-ROHFS) by combining the Cq-ROFS and hesitant fuzzy set (HFS) is proposed, and its properties are discussed, obviously, Cq-ROHFS can reflect the uncertainties in structure and in detailed evaluations. Further, some distance measures (DMs) and cross-entropy measures (CEMs) are developed based on complex multiple fuzzy sets. Moreover, these proposed measures are utilized to solve a multi-criteria decision-making problem based on TOPSIS (technique for order preference by similarity to ideal solution) method. Then, the advantages and superiority of the proposed measures are explained by the experimental results and comparisons with some existing methods.

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Hesitant T-spherical Dombi fuzzy aggregation operators and their applications in multiple criteria group decision-making

Karaaslan

Al-Husseinawi

2022

Complex Intell. Syst.

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A hesitant fuzzy (HF) set is an extension of the fuzzy sets and a T-spherical fuzzy set (T-SFS) is a generalization of the spherical fuzzy set (SFS). HF set has a significant role for modelling disagreements of the decision-makers over membership degree of an element. Also, T-SFS is quite effective in the modelling of the uncertainty for decision-making (DM) problems. In this paper, we define the concept of hesitant T-spherical fuzzy (HT-SF) set (HT-SFS) by combining concepts of HF set and T-SFS, and present some set-theoretical operations of HT-SFSs. We also develop the Dombi operations on HT-SFSs. We present some aggregation operators based on Dombi operators, including hesitant T-spherical Dombi fuzzy weighted arithmetic averaging operator, hesitant T-spherical Dombi fuzzy weighted geometric averaging operator, hesitant T-spherical Dombi fuzzy ordered weighted arithmetic averaging operator, and hesitant T-spherical Dombi fuzzy ordered weighted geometric averaging operator, and investigate some properties of them. In addition, we give a multi-criteria group decision-making method and algorithm of the proposed method under the hesitant T-spherical fuzzy environment. To show the process of proposed method, we present an example related to the selection of the most suitable person for the assistant professorship position in a university. Besides this, we present a comparative analysis with existing operators to reveal the advantages and authenticity of our technique.

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Distance and Similarity Measures for Intuitionistic Hesitant Fuzzy Sets

Cited by 9 publications

References 21 publications

Fuzzy Multi-Criteria Decision Making Algorithm under Intuitionistic Hesitant Fuzzy Set with Novel Distance Measure

Fuzzy Multi-Criteria Decision Making Algorithm under Intuitionistic Hesitant Fuzzy Set with Novel Distance Measure

The cross-entropy and improved distance measures for complex q-rung orthopair hesitant fuzzy sets and their applications in multi-criteria decision-making

Hesitant T-spherical Dombi fuzzy aggregation operators and their applications in multiple criteria group decision-making

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