An extension of the TOPSIS for multi-attribute group decision making under neutrosophic environment

Nafei, Amirhossein; Gu, Yongyi; Yuan, Wenjun

doi:10.18514/mmn.2021.3332

Cited by 12 publications

(12 citation statements)

References 19 publications

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“… (S3) Calculating the negative and positive ideal schemes. When the criterion is a benefit criterion, the positive and negative ideal schemes [ 29 ] can be expressed, respectively, as A + =([ τ i 1 + , 1 − λ i 1 + ], [ τ i 2 +, 1 − λ i 2 + ], [ τ i 3 + , 1 − λ i 3 + ],…, [ τ im + , 1 − λ im + ]) and A − =([ τ i 1 − , 1 − λ i 1 − ], [ τ i 2 − , 1 − λ i 2 − ], [ τ i 3 − , 1 − λ i 3 − ], ⋯, [ τ im − , 1 − λ im − ]). When the criterion is a cost criterion, the positive and negative ideal schemes are, respectively, as A + =([ τ i 1 − , 1 − λ i 1 − ], [ τ i 2 − , 1 − λ i 2 − ], [ τ i 3 − , 1 − λ i 3 − ],…, [ τ im − , 1 − λ im − ]).…”

Section: Entropy-based Fuzzy Topsis Synthesis Methods For Decision-ma...mentioning

confidence: 99%

Section: Entropy-based Fuzzy Topsis Synthesis Methods For Decision-ma...mentioning

confidence: 99%

“…When the criterion is a benefit criterion, the positive and negative ideal schemes [29] can be expressed, respectively, as…”

Section: Vewf-topsis Methods and Its Workflowmentioning

confidence: 99%

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Entropy-Based Fuzzy TOPSIS Method for Investment Decision Optimization of Large-Scale Projects

Cao

2022

Computational Intelligence and Neuroscience

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Investment of large-scale projects must consider various factors, such as economic conditions and investment environment when making decisions. In large-scale project investment problems, almost 90% of them are completed in a multiobjective context. To this end, the authors of this paper have proposed an entropy-based fuzzy TOPSIS synthesis method to assist in the decision-making optimization of large-scale project investment. Firstly, in accordance with the background of the development of multiattribute decision-making method (MADM), closely related to large-scale project investment, the related research works were studied, and the relevant methods are sorted out. Then, the improved vague-entropy-weight based fuzzy TOPSIS (VEWF-TOPSIS) method, entropy and interval language intuitionistic fuzzy sets based TOPSIS (EILIF-TOPSIS) method, and information entropy attribute importance based intuitionistic fuzzy TOPSIS (IEAI-IF-TOPSIS) method were introduced, and a synthesis MADM method that comprehensively combines the above three methods was proposed. Finally, a numerical case was constructed to properly show the effectiveness of the method proposed in the present work, and the conclusions were put forward for providing ideas and methods for large-scale project investment decision-making. It is of great significance that the proposed framework would make large-scale project investment decisions more reasonable and practical, which enriches the research methods of MADM problems to a certain extent and can provide reference for the actual large-scale project investment decision-making problems.

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Section: Entropy-based Fuzzy Topsis Synthesis Methods For Decision-ma...mentioning

confidence: 99%

Section: Entropy-based Fuzzy Topsis Synthesis Methods For Decision-ma...mentioning

confidence: 99%

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Entropy-Based Fuzzy TOPSIS Method for Investment Decision Optimization of Large-Scale Projects

Cao

2022

Computational Intelligence and Neuroscience

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“…Also, Decision-making plays an essential role in real daily life. (Nafei et al, 2019(Nafei et al, & 2020. The new products are, in fact, the keys to the success of the companies in the market.…”

Section: Introductionmentioning

confidence: 99%

A Model for New Product Development in Business Companies Based on Grounded Theory Approach and Fuzzy Method

Nezhadkian,

Azimi,

Ferro

et al. 2022

JCCE

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This study aims to provide a model for new product development in business companies with a grounded theory approach and Fuzzy method. The present study was performed in the framework of a qualitative approach using the grounded theory method, and the required data were collected using in-depth interviews with experts. The study experts included university professors in marketing and senior executives in Beijing. The systematic method has three main stages such as open, axial, and selective coding. The obtained results demonstrate qualitative and technical improvement as the fundamental subject, brand and customer as the reason conditions, companies' marketing activities as the strategy, rules transparency and existing standards as the ruling context, managerial-promotional activities as the interfering factors, and new product and trust-building as the consequences in the paradigm model.

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“…Recently, Nafei et al 19 proposed a novel approach for decision making with group recommendations based on NSs. Meanwhile, Nafei et al 20 first developed a new hamming distance between SVNNs, and then proposed a TOPSIS method for decision‐making.…”

Section: Introductionmentioning

confidence: 99%

Optimized score function and its application in group multiattribute decision making based on fuzzy neutrosophic sets

Nafei

Javadpour

Nasseri

et al. 2021

Int J of Intelligent Sys

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Some extensions of fuzzy sets such as interval-valued fuzzy sets, intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy sets, type n-fuzzy sets, and neutrosophic sets provided powerful and practical tools for dealing with uncertainty in decision-making problems. Neutrosophic set is defined with three-dimensional membership functions to describe the degrees of truth, indeterminacy, and falsity. Neutrosophic set theory is a useful instrument to handle incomplete, inconsistent, and indeterminate information. In this paper, we first propose a modified score function for ranking single-valued neutrosophic numbers. Then, we suggest a TOPSIS method based on the proposed function for decisionmaking under group recommendation. The method is applied to deal with the hotel location selection problem, where the decision values of the attributes for alternatives and the weights of the attributes are given by decisionmakers based on single-valued neutrosophic sets. Finally, numerical experiments are done. They show that the given method is more efficient as well as more reasonable tool for decision-making in contrast to the other existing methods.

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An extension of the TOPSIS for multi-attribute group decision making under neutrosophic environment

Cited by 12 publications

References 19 publications

Entropy-Based Fuzzy TOPSIS Method for Investment Decision Optimization of Large-Scale Projects

Entropy-Based Fuzzy TOPSIS Method for Investment Decision Optimization of Large-Scale Projects

A Model for New Product Development in Business Companies Based on Grounded Theory Approach and Fuzzy Method

Optimized score function and its application in group multiattribute decision making based on fuzzy neutrosophic sets

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