Aggregation of dual hesitant fuzzy heterogenous related information with extended Bonferroni mean and its application to MULTIMOORA

Liang, Decui; Darko, Adjei Peter; Zhang, Xu; Wang, Mingwei

doi:10.1016/j.cie.2019.05.029

Cited by 26 publications

(15 citation statements)

References 46 publications

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“…Despite the variety of applications, there is still a small concern with aspects related to sustainable development, with only 4.3% of studies addressing related themes [Qi et al 2018;Qu et al 2017;Qi et al 2016;Zhang et al 2016]. Moreover, most studies are developing advances in the DHFS approach, such as the proposal of new aggregation operators (49%) [Liang et al 2019;, methods of assessing the distance between evaluations (7%) [Liu et al 2020;Chen et al 2018], among others, as shown in the graph of Figure 3. Thus, the applications are, in general, illustrative for exemplifying the new propositions.…”

Section: Resultsmentioning

confidence: 99%

“…Qu et al 2017;Qu et al 2016;Qi et al 2018;Wei 2017;Ren et al 2017;Zhao et al 2016;Wei 2017;. Zang et al 2018;Tang et al 2018;Chen et al 2019;Gong e Chen 2019;Liu et al 2019;Qu et al 2019;Jamil e Rashid 2018;Liang et al 2020;Xu et al 2015;Liang et al 2019;Peng et al 2018;Xue et al 2016;. Medical applications: identification of diseases; evaluation of hospital risks; evaluation of blood donation.…”

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

A Literature Review of Dual Hesitant Fuzzy Sets / Uma Revisão Da Literatura Sobre Conjuntos Dual Hesitant Fuzzy

Calache

Arantes

Zanon

et al. 2021

BJD

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Group decision making is a common and crucial human activity, where two or more specialists handle complex decision problems, involving conflicting and non-measurable attributes. Thus, new decision-making approaches have been proposed in order to deal with different types of imprecisions. The Dual Hesitant Fuzzy Sets (DHFS) is a recent approach that stands out in the literature due to its ability to combine the advantages of Hesitant Fuzzy Sets and Intuitionistic Fuzzy Sets representations, allowing different types of hesitations by the decision makers. However, no paper has been identified that seeks to conduct a literature review on this theme. Therefore, the purpose of this paper is to present the results of a systematic literature review to assess the state of the art of DHFS. In addition, current applications are presented, and opportunities for future studies are elucidated.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

A Literature Review of Dual Hesitant Fuzzy Sets / Uma Revisão Da Literatura Sobre Conjuntos Dual Hesitant Fuzzy

Calache

Arantes

Zanon

et al. 2021

BJD

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“…The HFSs were developed by Torra and subsequently inspected in the papers of Torra and Narukawa (2009) and Zhu et al (2012a). In order to fuse HFEs with a view to capture interaction, BM and its generalizations have been inspected under hesitant fuzzy domain by Zhu and Xu (2013), Zhu et al (2012b), Yu et al (2012), He et al (2015), Farhadinia and Herrera-Viedma (2019) and Liang et al (2019), etc. These operators over HFEs are well designed to capture homogeneous interconnections, when data are availed in the imprecise form.…”

Section: Related Workmentioning

confidence: 99%

Generalized hesitant fuzzy information fusion using extended partitioned Bonferroni mean operator with application in decision-making

2020

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The partitioned Bonferroni mean operator (PBM), which was formulated to outspread the family of the Bonferroni mean operator, has augmented the class of aggregation functions for information accumulation by modeling interrelationship among pairwise disjoint partition sets. It is constructed with the presupposition that the criteria set is subdivided into mutually disjoint partition sets, with homogeneous interconnection among input arguments of intrapartition sets. The PBM operator has accomplished a lot of desirability from the researchers due to its capability of apprehending interconnection among arguments in the information accumulation technique. The central idea of this study is to amplify the existing PBM definition systematically so that heterogeneous interconnections among the criteria of intrapartition sets can be captured. This contemplation prompted us to focus on the systematized proposition of extended partitioned Bonferroni mean (EPBM) operator based on heterogeneous connections of the information retrieved from the partition sets. In this aspect, we also propose the hesitant fuzzy extended partitioned Bonferroni mean (HFEPBM) operator, along with its weighted generalization (WHFEPBM operator), by fitting the concept of strict t-norms and t-conorms into it. To intensify the capacity for modeling real-life decision situations, the extended TOPSIS method and the proposed operator have been employed to detect the weights of decision-makers. A numerical example has been presented to demonstrate the experimental results obtained by utilizing the WHFEPBM operator. The contribution ends by providing a detailed comparative analysis of the proposed method with other existing methods by availing data through the simulation experiment. Keywords Extended partitioned Bonferroni mean (EPBM) • Hesitant fuzzy set (HFS) • Hesitant fuzzy extended partitioned Bonferroni mean (HFEPBM) • Multi-attribute group decision-making (MAGDM) Mathematics Subject Classification 03E72 Communicated by Anibal Tavares de Azevedo.

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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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Aggregation of dual hesitant fuzzy heterogenous related information with extended Bonferroni mean and its application to MULTIMOORA

Cited by 26 publications

References 46 publications

A Literature Review of Dual Hesitant Fuzzy Sets / Uma Revisão Da Literatura Sobre Conjuntos Dual Hesitant Fuzzy

A Literature Review of Dual Hesitant Fuzzy Sets / Uma Revisão Da Literatura Sobre Conjuntos Dual Hesitant Fuzzy

Generalized hesitant fuzzy information fusion using extended partitioned Bonferroni mean operator with application in decision-making

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

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