A Method Of Determining Multi Attributeweights Based On Single Valued Neutrosophic Numbers And Its Application In Todim

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A Method of Determining Multi-AttributeWeights Based on Single-Valued Neutrosophic Numbers and Its Application in TODIM

Dongsheng Xu ,, Yanran Hong,Kaili Xiang
A Method of Determining Multi AttributeWeights Based on Single Valued Neutrosophic Numbers and Its Application in TODIM Book PDF

Author : Dongsheng Xu ,, Yanran Hong,Kaili Xiang
Publisher : Infinite Study
Page : 12 pages
File Size : 51,7 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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A Method of Determining Multi-AttributeWeights Based on Single-Valued Neutrosophic Numbers and Its Application in TODIM by Dongsheng Xu ,, Yanran Hong,Kaili Xiang Pdf

In this paper, the TODIM method is used to solve the multi-attribute decision-making problem with unknown attribute weight in venture capital, and the decision information is given in the form of single-valued neutrosophic numbers. In order to consider the objectivity and subjectivity of decision-making problems reasonably, the optimal weight is obtained by combining subjective weights and objective weights. Subjective weights are given directly by decision makers. Objective weights are obtained by establishing a weight optimization model with known decision information, then this method will compare with entropy weight method. These simulation results also validate the effectiveness and reasonableness of this proposed method.

A Method of Determining Multi-AttributeWeights Based on Single-Valued Neutrosophic Numbers and Its Application in TODIM

Dongsheng Xu,Yanran Hong,Kaili Xiang
A Method of Determining Multi AttributeWeights Based on Single Valued Neutrosophic Numbers and Its Application in TODIM Book PDF

Author : Dongsheng Xu,Yanran Hong,Kaili Xiang
Publisher : Infinite Study
Page : 12 pages
File Size : 50,6 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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A Method of Determining Multi-AttributeWeights Based on Single-Valued Neutrosophic Numbers and Its Application in TODIM by Dongsheng Xu,Yanran Hong,Kaili Xiang Pdf

In this paper, the TODIM method is used to solve the multi-attribute decision-making problem with unknown attribute weight in venture capital, and the decision information is given in the form of single-valued neutrosophic numbers. In order to consider the objectivity and subjectivity of decision-making problems reasonably, the optimal weight is obtained by combining subjective weights and objective weights. Subjective weights are given directly by decision makers. Objective weights are obtained by establishing a weight optimization model with known decision information, then this method will compare with entropy weight method. These simulation results also validate the effectiveness and reasonableness of this proposed method.

A Method of Determining Multi-AttributeWeights Based on Single-Valued Neutrosophic Numbers and Its Application in TODIM

Dongsheng Xu,Yanran Hong,Kaili Xiang
A Method of Determining Multi AttributeWeights Based on Single Valued Neutrosophic Numbers and Its Application in TODIM Book PDF

Author : Dongsheng Xu,Yanran Hong,Kaili Xiang
Publisher : Infinite Study
Page : 12 pages
File Size : 45,5 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

Get Book

A Method of Determining Multi-AttributeWeights Based on Single-Valued Neutrosophic Numbers and Its Application in TODIM by Dongsheng Xu,Yanran Hong,Kaili Xiang Pdf

In this paper, the TODIM method is used to solve the multi-attribute decision-making problem with unknown attribute weight in venture capital, and the decision information is given in the form of single-valued neutrosophic numbers. In order to consider the objectivity and subjectivity of decision-making problems reasonably, the optimal weight is obtained by combining subjective weights and objective weights.

A New Method Based on PROMETHEE and TODIM for Multi-Attribute Decision-Making with Single-Valued Neutrosophic Sets

Dongsheng Xu,XiaolanWei,Hui Ding,Hongqiong Bin
A New Method Based on PROMETHEE and TODIM for Multi Attribute Decision Making with Single Valued Neutrosophic Sets Book PDF

Author : Dongsheng Xu,XiaolanWei,Hui Ding,Hongqiong Bin
Publisher : Infinite Study
Page : 12 pages
File Size : 50,8 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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A New Method Based on PROMETHEE and TODIM for Multi-Attribute Decision-Making with Single-Valued Neutrosophic Sets by Dongsheng Xu,XiaolanWei,Hui Ding,Hongqiong Bin Pdf

In this paper, a new method based on PROMETHEE and TODIM is proposed to solve the MADM problem under the single-valued neutrosophic environment. Based on the calculation formula of inflow and outflow in PROMETHEE method, and the calculation formula of overall dominance in the TODIM method, a new integrated formula is obtained.

Multiple Criteria Decision Making with Fuzzy Sets

Babek Erdebilli,Gerhard-Wilhelm Weber
Multiple Criteria Decision Making with Fuzzy Sets Book PDF

Author : Babek Erdebilli,Gerhard-Wilhelm Weber
Publisher : Springer Nature
Page : 215 pages
File Size : 51,7 Mb
Release : 2022-06-28
Category : Business & Economics
ISBN : 9783030988722

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Multiple Criteria Decision Making with Fuzzy Sets by Babek Erdebilli,Gerhard-Wilhelm Weber Pdf

Using numerical examples to illustrate their concepts and results, this book examines recently developed fuzzy multi-criteria methods, such as Intuitionistic Fuzzy TOPSIS, Intuitionistic Fuzzy TOPSIS & DEA-AHP, Intuitionistic VIKOR, Pythagorean WASPAS, Pythagorean ENTROPI, Hesitant CBD, Hesitant MABAC, Triangular EDAS, Triangular PROMETHEE, q-Rung Orthopair COPRAS, and Fuzzy Type – 2 ELECTRE. Each chapter covers practical applications in addition to fresh developments and results. Given its structure and scope, the book can be used as a textbook in graduate courses on operations research and industrial engineering. It also offers a valuable resource for scientists working in a range of disciplines that require multi-criteria decision making.

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 18 / 2017

Florentin Smarandache,Surapati Pramanik
Neutrosophic Sets and Systems An International Book Series in Information Science and Engineering vol 18 2017 Book PDF

Author : Florentin Smarandache,Surapati Pramanik
Publisher : Infinite Study
Page : 90 pages
File Size : 55,9 Mb
Release : 2024-06-29
Category : Juvenile Nonfiction
ISBN : 9781599735511

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Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 18 / 2017 by Florentin Smarandache,Surapati Pramanik Pdf

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

Three-Way Decisions with Single-Valued Neutrosophic Decision Theory Rough Sets Based on Grey Relational Analysis

Peide Liu ,Hongyu Yang
Three Way Decisions with Single Valued Neutrosophic Decision Theory Rough Sets Based on Grey Relational Analysis Book PDF

Author : Peide Liu ,Hongyu Yang
Publisher : Infinite Study
Page : 13 pages
File Size : 41,8 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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Three-Way Decisions with Single-Valued Neutrosophic Decision Theory Rough Sets Based on Grey Relational Analysis by Peide Liu ,Hongyu Yang Pdf

The single-valued neutrosophic set (SVNS) can not only depict imperfect information in the real decision system but also handle undetermined and inconformity information flexibly and effectively. Three-way decisions (3WDs) are often used as an effective method to deal with uncertainties, but the conditional probability is given by the decision maker subjectively, which makes the decision result too subjective. This paper proposes a novel model based on 3WDs to settle the multiattribute decision-making (MADM) problems, where the attribute values are described by SVNS, and the attribute weights are entirely unknown.

Improved TODIM Method Based on Linguistic Neutrosophic Numbers for Multicriteria Group Decision-Making

Peide Liu,Xinli You
Improved TODIM Method Based on Linguistic Neutrosophic Numbers for Multicriteria Group Decision Making Book PDF

Author : Peide Liu,Xinli You
Publisher : Infinite Study
Page : 13 pages
File Size : 44,9 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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Improved TODIM Method Based on Linguistic Neutrosophic Numbers for Multicriteria Group Decision-Making by Peide Liu,Xinli You Pdf

The TODIM (an acronym in Portuguese for interactive multicriteria decision-making) method can consider the decisionmakers’ (DMs’) psychological behavior. However, the classical TODIM method has been unable to address fuzzy information such as the linguistic neutrosophic number (LNN), which is an effective tool to represent uncertainty. In this paper, an extended TODIM method is proposed to solve multicriteria group decision-making (MCGDM) problems in a linguistic neutrosophic environment. First, the definitions and characteristics of the classical TODIM and the LNNs are introduced. Then, an improved score function (SF) of LNNs is proposed. Furthermore, we obtain the combined weights of the criteria and aggregate individual decision matrices into a group decision matrix. The classical TODIM method is extended to address MCGDM problems with LNNs, and specific decision steps are provided. Finally, several examples are given to verify the effectiveness and superiority of the proposed approach by comparison with some existing methods.

An Extended TOPSIS Method with Unknown Weight Information in Dynamic Neutrosophic Environment

Nguyen Tho Thong,Luong Thi Hong Lan,Shuo-Yan Chou,Le Hoang Son,Do Duc Dong,Tran Thi Ngan
An Extended TOPSIS Method with Unknown Weight Information in Dynamic Neutrosophic Environment Book PDF

Author : Nguyen Tho Thong,Luong Thi Hong Lan,Shuo-Yan Chou,Le Hoang Son,Do Duc Dong,Tran Thi Ngan
Publisher : Infinite Study
Page : 15 pages
File Size : 40,6 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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An Extended TOPSIS Method with Unknown Weight Information in Dynamic Neutrosophic Environment by Nguyen Tho Thong,Luong Thi Hong Lan,Shuo-Yan Chou,Le Hoang Son,Do Duc Dong,Tran Thi Ngan Pdf

Decision-making activities are prevalent in human life. Many methods have been developed to address real-world decision problems. In some practical situations, decision-makers prefer to provide their evaluations over a set of criteria and weights.

Gaussian single-valued neutrosophic numbers and its application in multi-attribute decision making

Faruk KARAASLAN
Gaussian single valued neutrosophic numbers and its application in multi attribute decision making Book PDF

Author : Faruk KARAASLAN
Publisher : Infinite Study
Page : 17 pages
File Size : 55,7 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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Gaussian single-valued neutrosophic numbers and its application in multi-attribute decision making by Faruk KARAASLAN Pdf

The fuzzy set and intuitionistic fuzzy set are two useful mathematical tool for dealing with impression and uncertainty. However sometimes these theories may not suffice to model indeterminate and inconsistent information encountered in real world.

TODIM Method for Single-Valued Neutrosophic Multiple Attribute Decision Making

Dong-Sheng Xu,Cun Wei,Gui-Wu Wei
TODIM Method for Single Valued Neutrosophic Multiple Attribute Decision Making Book PDF

Author : Dong-Sheng Xu,Cun Wei,Gui-Wu Wei
Publisher : Infinite Study
Page : 18 pages
File Size : 53,6 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 8210379456XXX

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TODIM Method for Single-Valued Neutrosophic Multiple Attribute Decision Making by Dong-Sheng Xu,Cun Wei,Gui-Wu Wei Pdf

Recently, the TODIM has been used to solve multiple attribute decision making (MADM) problems. The single-valued neutrosophic sets (SVNSs) are useful tools to depict the uncertainty of the MADM.

AN EXTENSION OF THE TOPSIS FOR MULTI-ATTRIBUTE GROUP DECISION MAKING UNDER NEUTROSOPHIC ENVIRONMENT

Amirhossein Nafei,Yongyi Gu,Wenjun Yuan
AN EXTENSION OF THE TOPSIS FOR MULTI ATTRIBUTE GROUP DECISION MAKING UNDER NEUTROSOPHIC ENVIRONMENT Book PDF

Author : Amirhossein Nafei,Yongyi Gu,Wenjun Yuan
Publisher : Infinite Study
Page : 14 pages
File Size : 49,9 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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AN EXTENSION OF THE TOPSIS FOR MULTI-ATTRIBUTE GROUP DECISION MAKING UNDER NEUTROSOPHIC ENVIRONMENT by Amirhossein Nafei,Yongyi Gu,Wenjun Yuan Pdf

In this paper, we first develop a new Hamming distance between single-valued neutrosophic numbers and then present an extension of the TOPSIS method for multi-attribute group decision-making (MAGDM) based on single-valued neutrosophic sets, where the information about attribute values and attribute weights are expressed by decision-makers based on neutrosophic numbers.

New Multiple Attribute Decision Making Method Based on DEMATEL and TOPSIS for Multi-Valued Interval Neutrosophic Sets

Wei Yang,Yongfeng Pang
New Multiple Attribute Decision Making Method Based on DEMATEL and TOPSIS for Multi Valued Interval Neutrosophic Sets Book PDF

Author : Wei Yang,Yongfeng Pang
Publisher : Infinite Study
Page : 16 pages
File Size : 54,9 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 8210379456XXX

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New Multiple Attribute Decision Making Method Based on DEMATEL and TOPSIS for Multi-Valued Interval Neutrosophic Sets by Wei Yang,Yongfeng Pang Pdf

Interval neutrosophic fuzzy decision making is an important part of decision making under uncertainty, which is based on preference order.

Two New Approaches for Multi-Attribute Group Decision-Making With Interval-Valued Neutrosophic Frank Aggregation Operators and Incomplete Weights

LI-PING ZHOU ,JIU-YING DONG,SHU-PING WAN
Two New Approaches for Multi Attribute Group Decision Making With Interval Valued Neutrosophic Frank Aggregation Operators and Incomplete Weights Book PDF

Author : LI-PING ZHOU ,JIU-YING DONG,SHU-PING WAN
Publisher : Infinite Study
Page : 24 pages
File Size : 41,9 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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Two New Approaches for Multi-Attribute Group Decision-Making With Interval-Valued Neutrosophic Frank Aggregation Operators and Incomplete Weights by LI-PING ZHOU ,JIU-YING DONG,SHU-PING WAN Pdf

This paper investigates some Frank aggregation operators of interval-valued neutrosophic numbers (IVNNs) and applies to multi-attribute group decision-making (MAGDM) problems. First, the Frank t-conorm and t-norm are extended to interval-valued neutrosophic environment. Some new operational laws for IVNNs are dened and their related properties are investigated. Based on these new operational laws, some new aggregation operators for IVNNs are developed including the interval-valued neutrosophic Frank weighted averaging (IVNFWA) operator and the interval-valued neutrosophic Frank weighted geometric (IVNFWG) operator. Then some desirable properties and special cases of these new operators are further discussed. To solve the MAGDM with IVNNs, the weights of decision makers (DMs) are determined by using extended technique for order preference by similarity to ideal solution (TOPSIS) method based on cross-entropy. Additionally, attribute weights are determined based on the similarity degrees between alternatives and the absolute ideal solutions. Further, two new decision-making approaches for MAGDM with IVNNs are put forward by means of the IVNFWA and IVNFWG operators, respectively.Finally, a case study of selecting an agricultural socialization service provider is analyzed to illustrate the practicality and effectiveness of the developed two approaches.

Multi-Criteria Decision-Making Method Based on Single-Valued Neutrosophic Schweizer–Sklar Muirhead Mean Aggregation Operators

Huanying Zhang ,Fei Wang, Yushui Geng
Multi Criteria Decision Making Method Based on Single Valued Neutrosophic Schweizer Sklar Muirhead Mean Aggregation Operators Book PDF

Author : Huanying Zhang ,Fei Wang, Yushui Geng
Publisher : Infinite Study
Page : 21 pages
File Size : 46,5 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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Multi-Criteria Decision-Making Method Based on Single-Valued Neutrosophic Schweizer–Sklar Muirhead Mean Aggregation Operators by Huanying Zhang ,Fei Wang, Yushui Geng Pdf

Schweizer–Sklar (SS) operation can make information aggregation more flexible, and the Muirhead mean (MM) operator can take into account the correlation between inputs by a variable parameter. Because traditional MM is only available for real numbers and single-valued neutrosophic set (SVNS) can better express incomplete and uncertain information in decision systems, in this paper, we applied MM operators to single-valued neutrosophic sets (SVNSs) and presented two new MM aggregation operators with the SS operation, i.e., a single-valued neutrosophic SS Muirhead mean (SVNSSMM) operator and a weighted single-valued neutrosophic SS MM (WSVNSSMM) operator. We listed some properties of them and some particular cases about various parameter values. We also proposed the multi-criteria decision-making method based on the WSVNSSMM operator in SVNS. At last, we illustrated the feasibility of this method using a numerical example of company investment.