Simplified Neutrosophic Sets And Their Applications In Multi Criteria Group Decision Making Problems

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Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems

Juan-juan Peng,Jian-qiang Wang,Jing Wang,Hong-yu Zhang,Xiao-hong Chen
Simplified neutrosophic sets and their applications in multi criteria group decision making problems Book PDF

Author : Juan-juan Peng,Jian-qiang Wang,Jing Wang,Hong-yu Zhang,Xiao-hong Chen
Publisher : Infinite Study
Page : 17 pages
File Size : 53,5 Mb
Release : 2024-06-20
Category : Mathematics
ISBN : 8210379456XXX

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Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems by Juan-juan Peng,Jian-qiang Wang,Jing Wang,Hong-yu Zhang,Xiao-hong Chen Pdf

As a variation of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets have been developed to represent uncertain, imprecise, incomplete and inconsistent information that exists in the real world. Simplified neutrosophic sets (SNSs) have been proposed for the main purpose of addressing issues with a set of specific numbers. However, there are certain problems regarding the existing operations of SNSs, as well as their aggregation operators and the comparison methods. Therefore, this paper defines the novel operations of simplified neutrosophic numbers (SNNs) and develops a comparison method based on the related research of intuitionistic fuzzy numbers. On the basis of these operations and the comparison method, some SNN aggregation operators are proposed. Additionally, an approach for multi-criteria group decision-making (MCGDM) problems is explored by applying these aggregation operators. Finally, an example to illustrate the applicability of the proposed method is provided and a comparison with some other methods is made.

Simplified Neutrosophic Sets Based on Interval Dependent Degree for Multi-Criteria Group Decision-Making Problems

Xu Libo , Li Xingsen,Pang Chaoyi,Guo Yan
Simplified Neutrosophic Sets Based on Interval Dependent Degree for Multi Criteria Group Decision Making Problems Book PDF

Author : Xu Libo , Li Xingsen,Pang Chaoyi,Guo Yan
Publisher : Infinite Study
Page : 15 pages
File Size : 41,6 Mb
Release : 2024-06-20
Category : Mathematics
ISBN : 8210379456XXX

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Simplified Neutrosophic Sets Based on Interval Dependent Degree for Multi-Criteria Group Decision-Making Problems by Xu Libo , Li Xingsen,Pang Chaoyi,Guo Yan Pdf

In this paper, a new approach and framework based on the interval dependent degree for multi-criteria group decision-making (MCGDM) problems with simplified neutrosophic sets (SNSs) is proposed. Firstly, the simplified dependent function and distribution function are defined. Then, they are integrated into the interval dependent function which contains interval computing and distribution information of the intervals. Subsequently, the interval transformation operator is defined to convert simplified neutrosophic numbers (SNNs) into intervals, and then the interval dependent function for SNNs is deduced. Finally, an example is provided to verify the feasibility and effectiveness of the proposed method, together with its comparative analysis. In addition, uncertainty analysis, which can reflect the dynamic change of the final result caused by changes in the decision makers’ preferences, is performed in different distribution function situations. That increases the reliability and accuracy of the result.

Multi-valued Neutrosophic Sets and Power Aggregation Operators with Their Applications in Multi-criteria Group Decision-making Problems

Juan-juan Peng,Jian-qiang Wang,Xiao-hui Wu,Jing Wang,Xiao-hong Chen
Multi valued Neutrosophic Sets and Power Aggregation Operators with Their Applications in Multi criteria Group Decision making Problems Book PDF

Author : Juan-juan Peng,Jian-qiang Wang,Xiao-hui Wu,Jing Wang,Xiao-hong Chen
Publisher : Infinite Study
Page : 19 pages
File Size : 51,8 Mb
Release : 2024-06-20
Category : Mathematics
ISBN : 8210379456XXX

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Multi-valued Neutrosophic Sets and Power Aggregation Operators with Their Applications in Multi-criteria Group Decision-making Problems by Juan-juan Peng,Jian-qiang Wang,Xiao-hui Wu,Jing Wang,Xiao-hong Chen Pdf

In recent years, hesitant fuzzy sets (HFSs) and neutrosophic sets (NSs) have become a subject of great interest for researchers and have been widely applied to multi-criteria group decision-making (MCGDM) problems. In this paper, multi-valued neutrosophic sets (MVNSs) are introduced, which allow the truth-membership, indeterminacymembership and falsity-membership degree have a set of crisp values between zero and one, respectively.

Interval Neutrosophic Sets and Their Application in Multicriteria Decision Making Problems

Hong-yu Zhang,Jian-qiang Wang,Xiao-hong Chen
Interval Neutrosophic Sets and Their Application in Multicriteria Decision Making Problems Book PDF

Author : Hong-yu Zhang,Jian-qiang Wang,Xiao-hong Chen
Publisher : Infinite Study
Page : 16 pages
File Size : 54,7 Mb
Release : 2024-06-20
Category : Electronic
ISBN : 8210379456XXX

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Interval Neutrosophic Sets and Their Application in Multicriteria Decision Making Problems by Hong-yu Zhang,Jian-qiang Wang,Xiao-hong Chen Pdf

As a generalization of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets have been developed to represent uncertain, imprecise, incomplete, and inconsistent information existing in the real world.

Data Envelopment Analysis for Simplified Neutrosophic Sets

S. A. Edalatpanah,F. Smarandache
Data Envelopment Analysis for Simplified Neutrosophic Sets Book PDF

Author : S. A. Edalatpanah,F. Smarandache
Publisher : Infinite Study
Page : 12 pages
File Size : 55,8 Mb
Release : 2024-06-20
Category : Mathematics
ISBN : 8210379456XXX

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Data Envelopment Analysis for Simplified Neutrosophic Sets by S. A. Edalatpanah,F. Smarandache Pdf

In recent years, there has been a growing interest in neutrosophic theory, and there are several methods for solving various problems under neutrosophic environment. However, a few papers have discussed the Data envelopment analysis (DEA) with neutrosophic sets. So, in this paper, we propose an input-oriented DEA model with simplified neutrosophic numbers and present a new strategy to solve it. The proposed method is based on the weighted arithmetic average operator and has a simple structure. Finally, the new approach is illustrated with the help of a numerical example.

A Multi-Criteria Group Decision-Making Method with Possibility Degree and Power Aggregation Operators of Single Trapezoidal Neutrosophic Numbers

Xiaohui Wu,Jie Qian,Juanjuan Peng,Changchun Xue
A Multi Criteria Group Decision Making Method with Possibility Degree and Power Aggregation Operators of Single Trapezoidal Neutrosophic Numbers Book PDF

Author : Xiaohui Wu,Jie Qian,Juanjuan Peng,Changchun Xue
Publisher : Infinite Study
Page : 22 pages
File Size : 54,7 Mb
Release : 2024-06-20
Category : Mathematics
ISBN : 8210379456XXX

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A Multi-Criteria Group Decision-Making Method with Possibility Degree and Power Aggregation Operators of Single Trapezoidal Neutrosophic Numbers by Xiaohui Wu,Jie Qian,Juanjuan Peng,Changchun Xue Pdf

Single valued trapezoidal neutrosophic numbers (SVTNNs) are very useful tools for describing complex information, because of their advantage in describing the information completely, accurately and comprehensively for decision-making problems. In the paper, a method based on SVTNNs is proposed for dealing with multi-criteria group decision-making (MCGDM) problems. Firstly, the new operations SVTNNs are developed for avoiding evaluation information aggregation loss and distortion

Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets

Cengiz Kahraman,İrem Otay
Fuzzy Multi criteria Decision Making Using Neutrosophic Sets Book PDF

Author : Cengiz Kahraman,İrem Otay
Publisher : Springer
Page : 735 pages
File Size : 40,9 Mb
Release : 2018-11-03
Category : Technology & Engineering
ISBN : 9783030000455

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Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets by Cengiz Kahraman,İrem Otay Pdf

This book offers a comprehensive guide to the use of neutrosophic sets in multiple criteria decision making problems. It shows how neutrosophic sets, which have been developed as an extension of fuzzy and paraconsistent logic, can help in dealing with certain types of uncertainty that classical methods could not cope with. The chapters, written by well-known researchers, report on cutting-edge methodologies they have been developing and testing on a variety of engineering problems. The book is unique in its kind as it reports for the first time and in a comprehensive manner on the joint use of neutrosophic sets together with existing decision making methods to solve multi-criteria decision-making problems, as well as other engineering problems that are complex, hard to model and/or include incomplete and vague data. By providing new ideas, suggestions and directions for the solution of complex problems in engineering and decision making, it represents an excellent guide for researchers, lecturers and postgraduate students pursuing research on neutrosophic decision making, and more in general in the area of industrial and management engineering.

Multi-valued Neutrosophic Sets and Power Aggregation Operators with Their Applications in Multi-criteria Group Decision-making Problems

Juan-juan Peng,Jian-qiang Wang,Xiao-hui Wu,Jing Wang,Xiao-hong Chen
Multi valued Neutrosophic Sets and Power Aggregation Operators with Their Applications in Multi criteria Group Decision making Problems Book PDF

Author : Juan-juan Peng,Jian-qiang Wang,Xiao-hui Wu,Jing Wang,Xiao-hong Chen
Publisher : Infinite Study
Page : 19 pages
File Size : 51,6 Mb
Release : 2024-06-20
Category : Electronic
ISBN : 8210379456XXX

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Multi-valued Neutrosophic Sets and Power Aggregation Operators with Their Applications in Multi-criteria Group Decision-making Problems by Juan-juan Peng,Jian-qiang Wang,Xiao-hui Wu,Jing Wang,Xiao-hong Chen Pdf

In recent years, hesitant fuzzy sets (HFSs) and neutrosophic sets (NSs) have become a subject of great interest for researchers and have been widely applied to multi-criteria group decision-making (MCGDM) problems.

A Multi-Criteria Decision-Making Method Based on the Improved Single-Valued Neutrosophic Weighted Geometric Operator

Chao Tian,Juan Juan Peng
A Multi Criteria Decision Making Method Based on the Improved Single Valued Neutrosophic Weighted Geometric Operator Book PDF

Author : Chao Tian,Juan Juan Peng
Publisher : Infinite Study
Page : 17 pages
File Size : 54,9 Mb
Release : 2024-06-20
Category : Mathematics
ISBN : 8210379456XXX

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A Multi-Criteria Decision-Making Method Based on the Improved Single-Valued Neutrosophic Weighted Geometric Operator by Chao Tian,Juan Juan Peng Pdf

The aggregation operator is one of the most common techniques to solve multi-criteria decision-making (MCDM) problems. The aim of this paper is to propose an MCDM method based on the improved single-valued neutrosophic weighted geometric (ISVNWG) operator. First, the defects of several existing single-valued neutrosophic weighted geometric aggregation operators in terms of producing uncertain results in some special cases are analyzed. Second, an ISVNWG operator is proposed to avoid the defects of existing operators. Further, the properties of the proposed ISVNWG operator, including idempotency, boundedness, monotonicity, and commutativity, are discussed. Finally, a single-valued neutrosophic MCDM method based on the developed ISVNWG operator is proposed to overcome the defects of existing MCDM methods based on existing operators. Application examples demonstrate that our proposed operator and corresponding MCDM method are effective and rational for avoiding uncertain results in some special cases.

Rough Neutrosophic TOPSIS for Multi-Attribute Group Decision Making

Kalyan Mondal,Surapati Pramanik,Florentin Smarandache
Rough Neutrosophic TOPSIS for Multi Attribute Group Decision Making Book PDF

Author : Kalyan Mondal,Surapati Pramanik,Florentin Smarandache
Publisher : Infinite Study
Page : 13 pages
File Size : 45,6 Mb
Release : 2024-06-20
Category : Electronic
ISBN : 8210379456XXX

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Rough Neutrosophic TOPSIS for Multi-Attribute Group Decision Making by Kalyan Mondal,Surapati Pramanik,Florentin Smarandache Pdf

This paper is devoted to present Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) method for multi-attribute group decision making under rough neutrosophic environment.

Neutrosophic Sets and Systems, Vol. 29, 2019

Florentin Smarandache,Mohamed Abdel-Basset
Neutrosophic Sets and Systems Vol 29 2019 Book PDF

Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Infinite Study
Page : 264 pages
File Size : 51,8 Mb
Release : 2024-06-20
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, Vol. 29, 2019 by Florentin Smarandache,Mohamed Abdel-Basset 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.

Models for Multiple Attribute Decision-Making with Dual Generalized Single-Valued Neutrosophic Bonferroni Mean Operators

Jie Wang, Xiyue Tang , Guiwu Wei
Models for Multiple Attribute Decision Making with Dual Generalized Single Valued Neutrosophic Bonferroni Mean Operators Book PDF

Author : Jie Wang, Xiyue Tang , Guiwu Wei
Publisher : Infinite Study
Page : 15 pages
File Size : 50,7 Mb
Release : 2024-06-20
Category : Electronic
ISBN : 8210379456XXX

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Models for Multiple Attribute Decision-Making with Dual Generalized Single-Valued Neutrosophic Bonferroni Mean Operators by Jie Wang, Xiyue Tang , Guiwu Wei Pdf

In this article, we expand the dual generalized weighted BM (DGWBM) and dual generalized weighted geometric Bonferroni mean (DGWGBM) operator with single valued neutrosophic numbers (SVNNs) to propose the dual generalized single-valued neutrosophic number WBM (DGSVNNWBM) operator and dual generalized single-valued neutrosophic numbers WGBM (DGSVNNWGBM) operator.

Neutrosophic Sets and Systems, Book Series, Vol. 29, 2019

Florentin Smarandache ,Mohamed Abdel-Basset
Neutrosophic Sets and Systems Book Series Vol 29 2019 Book PDF

Author : Florentin Smarandache ,Mohamed Abdel-Basset
Publisher : Infinite Study
Page : 262 pages
File Size : 41,9 Mb
Release : 2024-06-20
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, Book Series, Vol. 29, 2019 by Florentin Smarandache ,Mohamed Abdel-Basset 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.

Interval-Valued Neutrosophic Bonferroni Mean Operators and the Application in the Selection of Renewable Energy

Pu Ji,Peng-fei Cheng,Hong-yu Zhang,Jian-qiang Wang
Interval Valued Neutrosophic Bonferroni Mean Operators and the Application in the Selection of Renewable Energy Book PDF

Author : Pu Ji,Peng-fei Cheng,Hong-yu Zhang,Jian-qiang Wang
Publisher : Infinite Study
Page : 28 pages
File Size : 52,5 Mb
Release : 2024-06-20
Category : Electronic
ISBN : 8210379456XXX

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Interval-Valued Neutrosophic Bonferroni Mean Operators and the Application in the Selection of Renewable Energy by Pu Ji,Peng-fei Cheng,Hong-yu Zhang,Jian-qiang Wang Pdf

Renewable energy selection, which is a multi-criteria decision-making (MCDM) problem, is crucial for the sustainable development of economy. Criteria are interdependent in the selection problem of renewable energy. Moreover, fuzzy and uncertain information exist during the selection processes, and information can be comprehensively reflected by interval-valued neutrosophic sets. This chapter aims to construct selection approaches for renewable energy considering the interrelationships among criteria.

Neutrosophic Multi-Criteria Decision Making

Florentin Smarandache,Jun Ye,Yanhui Guo
Neutrosophic Multi Criteria Decision Making Book PDF

Author : Florentin Smarandache,Jun Ye,Yanhui Guo
Publisher : MDPI
Page : 207 pages
File Size : 43,6 Mb
Release : 2018-10-12
Category : Artificial intelligence
ISBN : 9783038972884

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Neutrosophic Multi-Criteria Decision Making by Florentin Smarandache,Jun Ye,Yanhui Guo Pdf

This book is a printed edition of the Special Issue "Neutrosophic Multi-Criteria Decision Making" that was published in Axioms