An Extended Single Valued Neutrosophic Projection Based Qualitative Flexible Multi Criteria Decision Making Method

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An Extended Single-Valued Neutrosophic Projection-Based Qualitative Flexible Multi-Criteria Decision-Making Method

Chao Tian ,Wen Yu Zhang,Shuai Zhang,Juan Juan Peng
An Extended Single Valued Neutrosophic Projection Based Qualitative Flexible Multi Criteria Decision Making Method Book PDF

Author : Chao Tian ,Wen Yu Zhang,Shuai Zhang,Juan Juan Peng
Publisher : Infinite Study
Page : 16 pages
File Size : 44,8 Mb
Release : 2024-05-19
Category : Mathematics
ISBN : 8210379456XXX

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An Extended Single-Valued Neutrosophic Projection-Based Qualitative Flexible Multi-Criteria Decision-Making Method by Chao Tian ,Wen Yu Zhang,Shuai Zhang,Juan Juan Peng Pdf

With respect to multi-criteria decision-making (MCDM) problems in which the criteria denote the form of single-valued neutrosophic sets (SVNSs), and the weight information is also fully unknown, a novel MCDM method based on qualitative flexible multiple criteria (QUALIFLEX) is developed. Firstly, the improved cosine measure of the included angle between two SVNSs is defined. Then, the improved single-valued neutrosophic projection is developed, and the corresponding improved single-valued neutrosophic bidirectional projection and single-valued neutrosophic bidirectional projection difference are investigated. Moreover, the partial ordering relation of SVNSs is developed. Secondly, an extended QUALIFLEX method based on an improved single-valued neutrosophic projection measure is proposed to handle MCDM problems in which the weights of criteria are completely unknown. Finally, an example for selection of a green supplier, as well as a performance comparison analysis, are provided to demonstrate the effectiveness of the proposed method.

An Extended Single-Valued Neutrosophic Projection-Based Qualitative Flexible Multi-Criteria Decision-Making Method

Chao Tian,Wen Yu Zhang,Shuai Zhang,Juan Juan Peng
An Extended Single Valued Neutrosophic Projection Based Qualitative Flexible Multi Criteria Decision Making Method Book PDF

Author : Chao Tian,Wen Yu Zhang,Shuai Zhang,Juan Juan Peng
Publisher : Infinite Study
Page : 16 pages
File Size : 42,8 Mb
Release : 2024-05-19
Category : Mathematics
ISBN : 8210379456XXX

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An Extended Single-Valued Neutrosophic Projection-Based Qualitative Flexible Multi-Criteria Decision-Making Method by Chao Tian,Wen Yu Zhang,Shuai Zhang,Juan Juan Peng Pdf

With respect to multi-criteria decision-making (MCDM) problems in which the criteria denote the form of single-valued neutrosophic sets (SVNSs), and the weight information is also fully unknown, a novel MCDM method based on qualitative flexible multiple criteria (QUALIFLEX) is developed. Firstly, the improved cosine measure of the included angle between two SVNSs is defined.

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 : 54,6 Mb
Release : 2024-05-19
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.

A multi-valued neutrosophic qualitative flexible approach based on likelihood for multi-criteria decision-making problems

Juan-juan Peng,Jian-qiang Wang,Wu-E Yan
A multi valued neutrosophic qualitative exible approach based on likelihood for multi criteria decision making problems Book PDF

Author : Juan-juan Peng,Jian-qiang Wang,Wu-E Yan
Publisher : Infinite Study
Page : 11 pages
File Size : 49,5 Mb
Release : 2024-05-19
Category : Electronic
ISBN : 8210379456XXX

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A multi-valued neutrosophic qualitative flexible approach based on likelihood for multi-criteria decision-making problems by Juan-juan Peng,Jian-qiang Wang,Wu-E Yan Pdf

In this paper, multi-criteria decision-making (MCDM) problems based on the qualitative flexible multiple criteria method (QUALIFLEX) ,in which the criteria values are expressed by multi-valued neutrosophic information, are investigated.

Generalized Single-Valued Neutrosophic Power Aggregation Operators Based on Archimedean Copula and Co-Copula and Their Application to Multi-Attribute Decision-Making

YUAN RONG,YI LIU,ZHENG PEI
Generalized Single Valued Neutrosophic Power Aggregation Operators Based on Archimedean Copula and Co Copula and Their Application to Multi Attribute Decision Making Book PDF

Author : YUAN RONG,YI LIU,ZHENG PEI
Publisher : Infinite Study
Page : 24 pages
File Size : 55,5 Mb
Release : 2024-05-19
Category : Mathematics
ISBN : 8210379456XXX

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Generalized Single-Valued Neutrosophic Power Aggregation Operators Based on Archimedean Copula and Co-Copula and Their Application to Multi-Attribute Decision-Making by YUAN RONG,YI LIU,ZHENG PEI Pdf

Single-valued neutrosophic set (SVN) can valid depict the incompleteness, nondeterminacy and inconsistency of evaluation opinion, and the Power average (PA) operator can take into account the correlation of multiple discussed data. Meanwhile, Archimedean copula and co-copula (ACC) can signicant generate operational laws based upon diverse copulas.

Fuzzy Decision-Making Methods Based on Prospect Theory and Its Application in Venture Capital

Xiaoli Tian,Zeshui Xu
Fuzzy Decision Making Methods Based on Prospect Theory and Its Application in Venture Capital Book PDF

Author : Xiaoli Tian,Zeshui Xu
Publisher : Springer Nature
Page : 161 pages
File Size : 51,6 Mb
Release : 2021-03-22
Category : Business & Economics
ISBN : 9789811602436

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Fuzzy Decision-Making Methods Based on Prospect Theory and Its Application in Venture Capital by Xiaoli Tian,Zeshui Xu Pdf

This book gives a thorough and systematic introduction to the latest research results about fuzzy decision-making method based on prospect theory. It includes eight chapters: Introduction, Intuitionistic fuzzy MADM based on prospect theory, QUALIFLEX based on prospect theory with probabilistic linguistic information, Group PROMETHEE based on prospect theory with hesitant fuzzy linguistic information, Prospect consensus with probabilistic hesitant fuzzy preference information, Improved TODIM based on prospect theory and the improved TODIM with probabilistic hesitant fuzzy information, etc. This book is suitable for the researchers in the fields of fuzzy mathematics, operations research, behavioral science, management science and engineering, etc. It is also useful as a textbook for postgraduate and senior-year undergraduate students of the relevant professional institutions of higher learning.

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 : 54,6 Mb
Release : 2024-05-19
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.

Neutrosophic Systems with Applications (NSWA), Vol. 6, 2023

Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi
Neutrosophic Systems with Applications NSWA Vol 6 2023 Book PDF

Author : Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi
Publisher : Infinite Study
Page : 47 pages
File Size : 54,7 Mb
Release : 2023-09-23
Category : Antiques & Collectibles
ISBN : 8210379456XXX

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Neutrosophic Systems with Applications (NSWA), Vol. 6, 2023 by Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi Pdf

Papers on neutrosophic and plithogenic sets, logics, probabilities and statistics, on NeutroAlgebra and AntiAlgebra, NeutroGeometry and AntiGeometry, SuperHyperAlgebra and Neutrosophic SuperHyperAlgebra, etc…

Multi-Valued Neutrosophic Distance-Based QUALIFLEX Method for Treatment Selection

Juan-Juan Peng ,Chao Tian
Multi Valued Neutrosophic Distance Based QUALIFLEX Method for Treatment Selection Book PDF

Author : Juan-Juan Peng ,Chao Tian
Publisher : Infinite Study
Page : 15 pages
File Size : 55,5 Mb
Release : 2024-05-19
Category : Mathematics
ISBN : 8210379456XXX

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Multi-Valued Neutrosophic Distance-Based QUALIFLEX Method for Treatment Selection by Juan-Juan Peng ,Chao Tian Pdf

Multi-valued neutrosophic sets (MVNSs) consider the truth-membership, indeterminacy-membership, and falsity-membership simultaneously, which can more accurately express the preference information of decision-makers. In this paper, the normalized multi-valued neutrosophic distance measure is developed firstly and the corresponding properties are investigated as well. Secondly, the normalized multi-valued neutrosophic distance difference is defined and the corresponding partial ordering relation is discussed. Thirdly, based on the developed distances and comparison method, an extended multi-valued neutrosophic QUALItative FLEXible multiple criteria (QUALIFLEX) method is proposed to handle MCDM problems where the weights of criteria are completely unknown. Finally, an example for selection of medical diagnostic plan is provided to demonstrate the proposed method, together with sensitivity analysis and comparison analysis.

A bibliometric analysis of neutrosophic set: two decades review from 1998 to 2017

Xindong Peng,Jingguo Dai
A bibliometric analysis of neutrosophic set two decades review from 1998 to 2017 Book PDF

Author : Xindong Peng,Jingguo Dai
Publisher : Infinite Study
Page : 57 pages
File Size : 53,8 Mb
Release : 2024-05-19
Category : Mathematics
ISBN : 8210379456XXX

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A bibliometric analysis of neutrosophic set: two decades review from 1998 to 2017 by Xindong Peng,Jingguo Dai Pdf

Neutrosophic set, initiated by Smarandache, is a novel tool to deal with vagueness considering the truth-membership T, indeterminacy-membership I and falsity-membership F satisfying the condition 0 ≤ T + I + F ≤ 3. It can be used to characterize the uncertain information more sufficiently and accurately than intuitionistic fuzzy set. Neutrosophic set has attracted great attention of many scholars that have been extended to new types and these extensions have been used in many areas such as aggregation operators, decision making, image processing, information measures, graph and algebraic structures.

A Further Study on Multiperiod Health Diagnostics Methodology under a Single-Valued Neutrosophic Set

Jason Chih-sheng Chou,Yi-Fong Lin,Scott Shu-Cheng Lin
A Further Study on Multiperiod Health Diagnostics Methodology under a Single Valued Neutrosophic Set Book PDF

Author : Jason Chih-sheng Chou,Yi-Fong Lin,Scott Shu-Cheng Lin
Publisher : Infinite Study
Page : 11 pages
File Size : 50,6 Mb
Release : 2024-05-19
Category : Mathematics
ISBN : 8210379456XXX

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A Further Study on Multiperiod Health Diagnostics Methodology under a Single-Valued Neutrosophic Set by Jason Chih-sheng Chou,Yi-Fong Lin,Scott Shu-Cheng Lin Pdf

Employing the concept and function of tangency with similarity measures and counterpart distances for reliable medical consultations has been extensively studied in the past decades and results in lots of isomorphic measures for application. We compared the majority of such isomorphic measures proposed by various researchers and classified them into (a) maximum norm and (b) one-norm categories. Moreover, we found that previous researchers used monotonic functions to transform an identity function and resulted in complicated expressions. In this study, we provide a theoretical foundation to explain the isomorphic nature of a newer measure proposed by the following research paper against its studied existing one in deriving the same pattern recognition results. Specifically, this study initially proposes two similarity measures using maximum norm, arithmetic mean, and aggregation operators and followed by a detailed discussion on their mathematical characteristics. Subsequently, a simplified version of such measures is presented for easy application. This study completely covers two previous methods to point out that the complex approaches used were unnecessary. The findings will help physicians, patients, and their family members to obtain a proper medical diagnosis during multiple examinations.

Algorithms for neutrosophic soft decision making based on EDAS, new similarity measure and level soft set

Xindong Peng,Chong Liu
Algorithms for neutrosophic soft decision making based on EDAS new similarity measure and level soft set Book PDF

Author : Xindong Peng,Chong Liu
Publisher : Infinite Study
Page : 14 pages
File Size : 52,9 Mb
Release : 2024-05-19
Category : Electronic
ISBN : 8210379456XXX

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Algorithms for neutrosophic soft decision making based on EDAS, new similarity measure and level soft set by Xindong Peng,Chong Liu Pdf

This paper presents three novel single-valued neutrosophic soft set (SVNSS) methods. First, we initiate a new axiomatic definition of single-valued neutrosophic similarity measure, which is expressed by single-valued neutrosophic number (SVNN) that will reduce the information loss and remain more original information.

Decision-Making Models and Applications in Manufacturing Environments

Pushpdant Jain,Kumar Abhishek,Prasenjit Chatterjee
Decision Making Models and Applications in Manufacturing Environments Book PDF

Author : Pushpdant Jain,Kumar Abhishek,Prasenjit Chatterjee
Publisher : CRC Press
Page : 529 pages
File Size : 46,9 Mb
Release : 2024-02-20
Category : Technology & Engineering
ISBN : 9781000882544

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Decision-Making Models and Applications in Manufacturing Environments by Pushpdant Jain,Kumar Abhishek,Prasenjit Chatterjee Pdf

Multi-criteria decision-making (MCDM) has gained vast popularity for its ability to help make decisions in the presence of various similar and conflicting choices.This new volume applies the MCDM theory to solving problems and challenges in manufacturing environments. It discusses using MCDM computational methods to evaluate and select the most optimal solution or method for real-world, real-time manufacutring engineering issues. It details the decision-making process in relation materials selection; identification, assessment, and evaluation of risk; sustainability assessment; selection of green suppliers; and more. The chapter authors demonstrate the application of myriad MCDM techniques in decision-making, including MADM (multiple attribute decision-making), DEA (data envelopment analysis), fuzzy TOPSIS (technique for order preference by similarities to ideal solution), fuzzy-VIKOR (multicriteria optimization and compromise solution); MOORA (multi-objective optimization on the basis of ratio analysis), EWM (entropy weight method), (AHP) analytic hierarchy process, TODIM (TOmada de Decisao Interativa Multicriterio), and others. The volume illustrates these MCDM models in several industries and industrial processes, including for experimental analysis and optimization of drilling of glass fiber reinforced plastic, in the textile industries, for selection of refrigerants for domestic applications, and others.

Type-2 neutrosophic number based multi-attributive border approximation area comparison (MABAC) approach for offshore wind farm site selection in USA

Muhammet Deveci,Nuh Erdogan, Umit Cali,Joseph Stekli ,Shuya Zhong
Type 2 neutrosophic number based multi attributive border approximation area comparison MABAC approach for offshore wind farm site selection in USA Book PDF

Author : Muhammet Deveci,Nuh Erdogan, Umit Cali,Joseph Stekli ,Shuya Zhong
Publisher : Infinite Study
Page : 14 pages
File Size : 43,7 Mb
Release : 2024-05-19
Category : Mathematics
ISBN : 8210379456XXX

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Type-2 neutrosophic number based multi-attributive border approximation area comparison (MABAC) approach for offshore wind farm site selection in USA by Muhammet Deveci,Nuh Erdogan, Umit Cali,Joseph Stekli ,Shuya Zhong Pdf

This approach combines the advantages of neutrosophic numbers sets, which can utilize uncertain and incomplete information, with a multi-attributive border approximation area comparison that provides formulation flexibility and easy calculation. Further, this study develops and integrates a techno-economic model for OWFs in the decision-making. A case study is performed to evaluate and rank five proposed OWF sites off the coast of New Jersey. To validate the proposed model, a comparison against three alternative T2NN fuzzy based models is performed. It is demonstrated that the implemented model yields the same ranking order as the alternative approaches. Sensitivity analysis reveals that changing criteria weightings does not affect the ranking order.

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 : 54,5 Mb
Release : 2024-05-19
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.