Dual hesitant fuzzy graphs with applications to multi-attribute decision making

Bai, Wenhui; Ding, Juanjuan; Zhang, Chao

doi:10.1016/j.ijcce.2020.09.002

Cited by 22 publications

(7 citation statements)

References 52 publications

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“…To verify the effectiveness of the proposed approach, it is compared with other approaches, and the results are shown in Table 7. Among them, Zhang and Xu's approach 11 does not consider the relations between decision factors, the approaches of Naz et al 40 and Akram et al 62 only consider the relations between alternatives, and Bai et al's approach 50 only consider the relations between criteria.…”

Section: Illustrative Examplementioning

confidence: 99%

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A novel multicriteria decision‐making approach based on Pythagorean fuzzy sets and graph theory

Meng

Lin

2022

Int J of Intelligent Sys

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Given the problem that the relations among alternatives or criteria cannot be handled well in multicriteria decision making, this paper applies the concept of Pythagorean fuzzy sets to the graph and develops a decision‐making approach based on Pythagorean fuzzy graphs (PFGs). First, the weights obtained from the Laplacian energy of PFGs are taken as the subjective weights of criteria. Then, a new Pythagorean fuzzy entropy measure is defined to compute the objective weights of criteria. Meanwhile, a combined weighting method is presented, which makes the criteria weights consist of subjective weights and objective weights. Furthermore, combined weights are applied to the decision‐making process and a graph‐based Pythagorean fuzzy decision‐making method is proposed. Compared with other existing techniques, the proposed approach considers the relations between alternatives and the relations between criteria simultaneously. Finally, an illustrative example is used to verify the approach and demonstrate its effectiveness. The results show that the alternative ranking obtained by the proposed approach is reliable and credible.

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Section: Illustrative Examplementioning

confidence: 99%

“…Employing graph theory to evaluate the alternative is a simple, logical, and scientific approach for many practical MCDM problems. Apart from PFGs, other extensions of FGs such as hesitant FGs, 45 single-valued neutrosophic graphs, 46 T-spherical FGs, 47 and so forth [48][49][50][51] are also applied to the decision-making process.…”

Section: Introductionmentioning

confidence: 99%

A novel multicriteria decision‐making approach based on Pythagorean fuzzy sets and graph theory

Meng

Lin

2022

Int J of Intelligent Sys

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“…Liu et al [57] introduced the Dombi aggregation operators of interval-valued hesitant fuzzy set based on Dombi t-norm and t-conorm. Some studies related to aggregation operator of HFS, extension of HFS, and decision-making can be found [58][59][60][61][62][63][64][65][66][67][68][69][70][71][72].…”

Section: Introductionmentioning

confidence: 99%

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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“…Inverse domination in HFGs and its properties was introduced by Shakthivel et al [31]. Bai [32] investigated dual HFGs with applications to multi-attribute decision-making. The concept of isomorphic properties of m-polar fuzzy graphs is studied by Ghorai and Pal [33].…”

Section: Introductionmentioning

confidence: 99%

A study on vague-valued hesitant fuzzy graph with application

et al. 2022

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The hesitant fuzzy graph (HFG) is one of the most powerful tools to find the strongest influential person in a network. Many problems of practical interest can be modeled and solved by using HFG algorithms. HFGs, belonging to the FG family, have good capabilities when faced with problems that cannot be expressed by FGs. The vague-valued hesitant fuzzy graph (VVHFG) is the generalization of the HFG. A VVHFG is a powerful and useful tool to find the influential person in various parts, such as meetings, conferences, and every group discussion. In this study, we introduce a new concept of the VVHFG. Our purpose is to develop a notion of the VVHFG and also to present some basic definitions, notations, remarks, and proofs related to VVHFGs. We propose a numerical method to find the most dominating person using our proposed work. Finally, an application of the VVHFG in decision-making has been introduced.

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Dual hesitant fuzzy graphs with applications to multi-attribute decision making

Cited by 22 publications

References 52 publications

A novel multicriteria decision‐making approach based on Pythagorean fuzzy sets and graph theory

A novel multicriteria decision‐making approach based on Pythagorean fuzzy sets and graph theory

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

A study on vague-valued hesitant fuzzy graph with application

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