Novel Single-Valued Neutrosophic Aggregated Operators Under Frank Norm Operation and Its Application to Decision-Making Process

nancy,; Garg, Harish

doi:10.1615/int.j.uncertaintyquantification.2016018603

Cited by 97 publications

(48 citation statements)

References 23 publications

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“…For Cross‐entropy (Ye, ), it is easy to lead to the antilogarithm by zero problem. Moreover, we will find that our optimal alternative and the ranking are same as the existing aggregation methods (Chen & Ye, ; Li et al, ; Liu, ; Liu et al, ; Liu & Wang, ; Nancy & Garg, ; Peng et al, ; Wei & Wei, ; Wei & Zhang, ).…”

Section: Comparative Analysis and Discussionmentioning

confidence: 93%

“…In the following, some existing decision making methods (Chen & Ye, ; Li et al, ; Liu, ; Liu et al, ; Liu & Wang, ; Nancy & Garg, ; Peng et al, ; Peng & Dai, a; Wei & Wei, ; Wei & Zhang, ; Ye, ) with their limitations and characteristics are discussed in detail. An example is given to show the advantages of our proposed algorithms.…”

Section: Comparative Analysis and Discussionmentioning

confidence: 99%

“…From Table , we can find the developed aggregation operators are based on Bonferroni mean and Dombi operations with three parameters p , q , and ϱ . Therefore, the developed aggregation operators (SVNWDBM and SVNWDGBM) are more common and more agile than some existing aggregation operators (Chen & Ye, ; Li et al, ; Liu & Wang, ; Liu, ; Liu et al, ; Nancy & Garg, ; Peng et al, ; Wei & Wei, ; Wei & Zhang, ). Meanwhile, they can take the interrelationship of the attributes into consideration for dealing with MADM issues.…”

Section: Comparative Analysis and Discussionmentioning

confidence: 99%

“…Wei and Zhang () introduced single‐valued neutrosophic Bonferroni power aggregation operators in strategic suppliers' selection. (b) With regard to the operations, some existing aggregation operators (Liu, ; Liu, Chu, Li, & Chen, ; Nancy & Garg, ; Peng, Wang, Wang, Zhang, & Chen, ; Zheng, Teng, & Liu, ) are on account of some algebraic operational laws for SVNNs, which are peculiar cases of T‐norm and S‐norm. Universally, the Archimedean S‐norm and T‐norm are the extensions of plentiful T‐norm and S‐norm such as Algebraic S‐norm and T‐norm, Hamacher S‐norm and T‐norm, and Frank S‐norm and T‐norm.…”

Section: Introductionmentioning

confidence: 99%

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Novel neutrosophic Dombi Bonferroni mean operators with mobile cloud computing industry evaluation

Peng

Smarandache

2019

Expert Systems

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In the age of mobile cloud computing, we are confronted by mobility, diversity of network access types, frequent network disconnection and poor reliability, and security with complex structures. Mobile cloud computing industry decision making is crucially important for countries or societies to enhance the effectiveness and validity of leadership, which can greatly expedite industrialized and large‐scale development. In the case of mobile cloud computing industry decision evaluation, the indispensable issue arises serious inexactness, fuzziness, and ambiguity. Single‐valued neutrosophic set, disposing the indeterminacy portrayed by truth membership T, indeterminacy membership I, and falsity membership F, is a more viable and effective means to seize indeterminacy. The main purpose of the current paper is to investigate the novel operations on single‐valued neutrosophic number (SVNN) based on Dombi Bonferroni mean (DBM) and Dombi geometric Bonferroni mean (DGBM) operator, which have the enormous advantage of high flexibility with adjustable parameters. Moreover, we employ the DBM operator to present single‐valued neutrosophic DBM (SVNDBM) operator, single‐valued neutrosophic weighted DBM (SVNWDBM) operator, single‐valued neutrosophic DGBM (SVNDGBM), operator and single‐valued neutrosophic weighted DGBM (SVNWDGBM) operator for disposing with the aggregation of SVNNs and develop two multiple attribute decision making methods based on SVNWDBM and SVNWDGBM. The validity of algorithms are illustrated by a mobile cloud computing industry decision making issue, along with the sensitivity analysis of diverse parameters on the ranking. Finally, a comparison of the developed with the existing single‐valued neutrosophic decision making methods has been executed for displaying their effectiveness.

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Section: Comparative Analysis and Discussionmentioning

confidence: 93%

Section: Comparative Analysis and Discussionmentioning

confidence: 99%

Section: Comparative Analysis and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Novel neutrosophic Dombi Bonferroni mean operators with mobile cloud computing industry evaluation

Peng

Smarandache

2019

Expert Systems

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“…Later on, Garg [11,12] extended the theory of the IFS to the Pythagorean fuzzy set in which the condition of sum of their membership function has been relaxed to square sum of its membership functions is less than one, and presented a generalized geometric as well as averaging aggregation operators. Apart from that, various researchers pay more attention on decision-making process for aggregating the different alternatives using different aggregation operators [13][14][15][16][17][18][19][20][21][22][23] and their corresponding references.…”

Section: Introductionmentioning

confidence: 99%

A novel correlation coefficient of intuitionistic fuzzy sets based on the connection number of set pair analysis and its application

Garg

Kumar

2017

Scientia Iranica

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Set pair analysis (SPA) is an updated theory for dealing with the uncertainty, which overlaps the other theories of uncertainty such as probability, vague, fuzzy and intuitionistic fuzzy set (IFS). Considering the fact that the correlation coefficient plays an important role during the decision-making process, in this paper, after pointing out the weakness of the existing correlation coefficients between the IFSs, we propose a novel correlation coefficient and weighted correlation coefficients formulation to measure the relative strength of the different IFSs. For it, firstly corresponding to each intuitionistic fuzzy number, the connection number of the SPA theory has been formulated in the form of the degree of identity, discrepancy and contrary and then based on its, a novel correlation coefficient measures have been defined. Pairs of identity, discrepancy and contrary of the connection number have been taken as a vector representation during the formulation. Lastly, a decision-making approach based on the proposed measures has been presented which has been illustrated by two numerical examples in pattern recognition and medical diagnosis.

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SVNMPR: A new single‐valued neutrosophic multiplicative preference relation and their application to decision‐making process

Garg

2021

Int J of Intelligent Sys

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The aim of the paper is to present the concept of a multiplicative preference relation (MPR) with the features of the single‐valued neutrosophic (SVN) set and named as SVN multiplicative preference relation (SVNMPR). The SVN set (SVNS) handles uncertainties more broadly than the intuitionistic fuzzy set by considering the three independent degree systems with a scale rating of 0–1 and is symmetrical about 0.5. However, for asymmetrical distribution, Saaty discusses the 1–9 scale to display the information. Driven by the advantages of the scale of 1–9 and the independence nature of degrees in SVNS, in this paper, we introduce the concept of SVNMPR with ratings values as SVN numbers with range 1∕q−q with q>1. The main advantages of the proposed relation are the asymmetric and nonuniform distributions of about 1. To complete address this, we divide the stated work into three parts. First, an idea of SVNMPR is added wherein pairwise evaluation values are represented the usage of SVN numbers over a scale of 1∕q−q with q>1. Also, we outline the idea of the SVN multiplicative preference set (SVNMPS). Second, to rank the proposed SVNMPS, we define a new ranking method with improved score functions by adding the expert's attitude to the analysis. The relationship between the proposed and the existing functions is also derived. Third, we are defining some new operation laws for SVNMPS to preserve the closeness property. On the basis of these laws, we define a number of operators to aggregate the different pairs of the SVNMPSs and to derive a number of relations and inequalities. Finally, a group decision‐making approach is established and the practicality of it is demonstrated with a numerical example and compared with a number of existing approaches.

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Novel Single-Valued Neutrosophic Aggregated Operators Under Frank Norm Operation and Its Application to Decision-Making Process

Cited by 97 publications

References 23 publications

Novel neutrosophic Dombi Bonferroni mean operators with mobile cloud computing industry evaluation

Novel neutrosophic Dombi Bonferroni mean operators with mobile cloud computing industry evaluation

A novel correlation coefficient of intuitionistic fuzzy sets based on the connection number of set pair analysis and its application

SVNMPR: A new single‐valued neutrosophic multiplicative preference relation and their application to decision‐making process

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