An Application Of Neutrosophic Sets To Decision Making

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An Application of Neutrosophic Sets to Decision Making

Michael Gr. Voskoglou
An Application of Neutrosophic Sets to Decision Making Book PDF

Author : Michael Gr. Voskoglou
Publisher : Infinite Study
Page : 14 pages
File Size : 50,9 Mb
Release : 2023-01-01
Category : Mathematics
ISBN : 8210379456XXX

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An Application of Neutrosophic Sets to Decision Making by Michael Gr. Voskoglou Pdf

Frequently in real life situations decision making takes place under fuzzy conditions, because the corresponding goals and/or the existing constraints are not clearly defined. Maji et al. introduced in 2002 a method of parametric decision making using soft sets as tools and representing their tabular form as a binary matrix. As we explain here, however, in cases where some or all of the parameters used for the characterization of the elements of the universal set are of fuzzy texture, their method does not give always the best decision making solution. In order to tackle this problem, we modified in earlier works the method of Maji et al. by replacing the binary elements in the tabular form of the corresponding soft set either by grey numbers or by triangular fuzzy numbers. In this work, in order to tackle more efficiently cases in which the decision maker has doubts even about the correctness of the fuzzy/qualitative characterizations assigned to some or all of the elements of the universal set, we replace the binary elements of the tabular form by neutrosophic triplets. Our new, neutrosophic decision making method is illustrated by an application concerning the choice of a new player by a soccer club.

APPLICATION OF NEUTROSOPHIC SET TO MULTICRITERIA DECISION MAKING BY COPRAS

Romualdas BAUSYS,Edmundas Kazimieras ZAVADSKAS,Artūras KAKLAUSKAS
APPLICATION OF NEUTROSOPHIC SET TO MULTICRITERIA DECISION MAKING BY COPRAS Book PDF

Author : Romualdas BAUSYS,Edmundas Kazimieras ZAVADSKAS,Artūras KAKLAUSKAS
Publisher : Infinite Study
Page : 15 pages
File Size : 43,6 Mb
Release : 2024-06-10
Category : Mathematics
ISBN : 8210379456XXX

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APPLICATION OF NEUTROSOPHIC SET TO MULTICRITERIA DECISION MAKING BY COPRAS by Romualdas BAUSYS,Edmundas Kazimieras ZAVADSKAS,Artūras KAKLAUSKAS Pdf

In this paper, a new extension of the crisp COPRAS method has been proposed. This extension is developed in the context of single value neutrosophic sets. The information processing flow has been proposed for the solution of the multicriteria decision-making problems.

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 : 128 pages
File Size : 41,9 Mb
Release : 2024-06-10
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.

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 : 42,6 Mb
Release : 2024-06-10
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.

Linguistic Approaches to Interval Complex Neutrosophic Sets in Decision Making

LUU QUOC DAT ,NGUYEN THO THONG,LE HOANG SON, MUMTAZ ALI, FLORENTIN SMARANDACHE ,MOHAMED ABDEL-BASSET ,HOANG VIET LONG
Linguistic Approaches to Interval Complex Neutrosophic Sets in Decision Making Book PDF

Author : LUU QUOC DAT ,NGUYEN THO THONG,LE HOANG SON, MUMTAZ ALI, FLORENTIN SMARANDACHE ,MOHAMED ABDEL-BASSET ,HOANG VIET LONG
Publisher : Infinite Study
Page : 16 pages
File Size : 43,8 Mb
Release : 2024-06-10
Category : Mathematics
ISBN : 8210379456XXX

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Linguistic Approaches to Interval Complex Neutrosophic Sets in Decision Making by LUU QUOC DAT ,NGUYEN THO THONG,LE HOANG SON, MUMTAZ ALI, FLORENTIN SMARANDACHE ,MOHAMED ABDEL-BASSET ,HOANG VIET LONG Pdf

One of the most efcient tools for modeling uncertainty in decision-making problems is the neutrosophic set (NS) and its extensions, such as complex NS (CNS), interval NS (INS), and interval complex NS (ICNS). Linguistic variables have been long recognized as a useful tool in decision-making problems for solving the problem of crisp neutrosophic membership degree. In this paper, we aim to introduce new concepts: single-valued linguistic complex neutrosophic set (SVLCNS-2) and interval linguistic complex neutrosophic set (ILCNS-2) that are more applicable and adjustable to real-world implementation than those of their previous counterparts. Some set-theoretic operations and the operational rules of SVLCNS-2 and ILCNS-2 are designed. Then, gather classications of the candidate versus criteria, gather the signicance weights, gather the weighted rankings of candidates versus criteria and a score function to arrange the candidates are determined. New TOPSIS decision-making procedures in SVLCNS-2 and ICNS-2 are presented and applied to lecturer selection in the case study of the University of Economics and Business, Vietnam National University. The applications demonstrate the usefulness and efciency of the proposal.

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 : 46,6 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.

AN IMPROVED SCORE FUNCTION FOR RANKING NEUTROSOPHIC SETS AND ITS APPLICATION TO DECISION-MAKING PROCESS

Nancy ,Harish Garg
AN IMPROVED SCORE FUNCTION FOR RANKING NEUTROSOPHIC SETS AND ITS APPLICATION TO DECISION MAKING PROCESS Book PDF

Author : Nancy ,Harish Garg
Publisher : Infinite Study
Page : 9 pages
File Size : 45,9 Mb
Release : 2024-06-10
Category : Mathematics
ISBN : 8210379456XXX

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AN IMPROVED SCORE FUNCTION FOR RANKING NEUTROSOPHIC SETS AND ITS APPLICATION TO DECISION-MAKING PROCESS by Nancy ,Harish Garg Pdf

The neutrosophic set (NS) is a more general platform which generalizes the concept of crisp, fuzzy, and intuitionistic fuzzy sets to describe the membership functions in terms of truth, indeterminacy, and false degree. Under this environment, the present paper proposes an improved score function for ranking the single as well as interval-valued NSs by incorporating the idea of hesitation degree between the truth and false degrees. Shortcomings of the existing function have been highlighted in it. Further, the decision-making method has been presented based on proposed function and illustrates it with a numerical example to demonstrate its practicality and effectiveness.

A Novel Single-Valued Neutrosophic Set Similarity Measure and Its Application in Multicriteria Decision-Making

Wen Jiang , Yehang Shou
A Novel Single Valued Neutrosophic Set Similarity Measure and Its Application in Multicriteria Decision Making Book PDF

Author : Wen Jiang , Yehang Shou
Publisher : Infinite Study
Page : 14 pages
File Size : 48,7 Mb
Release : 2024-06-10
Category : Electronic
ISBN : 8210379456XXX

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A Novel Single-Valued Neutrosophic Set Similarity Measure and Its Application in Multicriteria Decision-Making by Wen Jiang , Yehang Shou Pdf

The single-valued neutrosophic set is a subclass of neutrosophi cset, and has been proposed in recent years. An important application for single-valued neutrosophic sets is to solve multicriteria decision-making problems.

Interval Complex Neutrosophic Set: Formulation and Applications in Decision-Making

Mumtaz Ali,Luu Quoc Dat,Le Hoang Son,Florentin Smarandache
Interval Complex Neutrosophic Set Formulation and Applications in Decision Making Book PDF

Author : Mumtaz Ali,Luu Quoc Dat,Le Hoang Son,Florentin Smarandache
Publisher : Infinite Study
Page : 16 pages
File Size : 49,6 Mb
Release : 2024-06-10
Category : Electronic
ISBN : 8210379456XXX

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Interval Complex Neutrosophic Set: Formulation and Applications in Decision-Making by Mumtaz Ali,Luu Quoc Dat,Le Hoang Son,Florentin Smarandache Pdf

Neutrosophic set is a powerful general formal framework which generalizes the concepts of classic set, fuzzy set, interval-valued fuzzy set, intuitionistic fuzzy set, etc. Recent studies have developed systems with complex fuzzy sets, for better designing and modeling real-life applications.

An Approach toward a Q-Neutrosophic Soft Set and Its Application in Decision Making

Majdoleen Abu Qamar , Nasruddin Hassan
An Approach toward a Q Neutrosophic Soft Set and Its Application in Decision Making Book PDF

Author : Majdoleen Abu Qamar , Nasruddin Hassan
Publisher : Infinite Study
Page : 18 pages
File Size : 47,9 Mb
Release : 2024-06-10
Category : Mathematics
ISBN : 8210379456XXX

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An Approach toward a Q-Neutrosophic Soft Set and Its Application in Decision Making by Majdoleen Abu Qamar , Nasruddin Hassan Pdf

A neutrosophic set was proposed as an approach to study neutral uncertain information. It is characterized through three memberships, T, I and F, such that these independent functions stand for the truth, indeterminate, and false-membership degrees of an object. The neutrosophic set presents a symmetric form since truth enrolment T is symmetric to its opposite false enrolment F with respect to indeterminacy enrolment I that acts as an axis of symmetry. The neutrosophic set was further extended to a Q-neutrosophic soft set, which is a hybrid model that keeps the features of the neutrosophic soft set in dealing with uncertainty, and the features of a Q-fuzzy soft set that handles two-dimensional information. In this study, we discuss some operations of Q-neutrosophic soft sets, such as subset, equality, complement, intersection, union, AND operation, and OR operation.

Multi-Attribute Decision Making Method Based on Aggregated Neutrosophic Set

Wen Jiang ,Zihan Zhang,Xinyang Deng
Multi Attribute Decision Making Method Based on Aggregated Neutrosophic Set Book PDF

Author : Wen Jiang ,Zihan Zhang,Xinyang Deng
Publisher : Infinite Study
Page : 13 pages
File Size : 42,8 Mb
Release : 2024-06-10
Category : Mathematics
ISBN : 8210379456XXX

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Multi-Attribute Decision Making Method Based on Aggregated Neutrosophic Set by Wen Jiang ,Zihan Zhang,Xinyang Deng Pdf

Multi-attribute decision-making refers to the decision-making problem of selecting the optimal alternative or sorting the scheme when considering multiple attributes, which is widely used in engineering design, economy, management and military, etc. But in real application, the attribute information of many objects is often inaccurate or uncertain, so it is very important for us to find a useful and efficient method to solve the problem. Neutrosophic set is proposed from philosophical point of view to handle inaccurate information efficiently, and a single-valued neutrosophic set (SVNS) is a special case of neutrosophic set, which is widely used in actual application fields. In this paper, a new method based on single-valued neutrosophic sets aggregation to solve multi-attribute decision making problem is proposed. Firstly, the neutrosophic decision matrix is obtained by expert assessment, a score function of single-valued neutrosophic sets (SVNSs) is defined to obtain the positive ideal solution (PIS) and the negative ideal solution (NIS). Then all alternatives are aggregated based on TOPSIS method to make decision. Finally numerical examples are given to verify the feasibility and rationality of the method.

Multiple-criteria Decision-making Based on the Use of Single-valued Neutrosophic Sets and Similarity Measures

Dragisa Stanujkic,Darjan Karabasevic,Gabrijela Popovic,Florentin Smarandache,Edmundas Kazimieras Zavadskas,Ieva Meidute-Kavaliauskiene
Multiple criteria Decision making Based on the Use of Single valued Neutrosophic Sets and Similarity Measures Book PDF

Author : Dragisa Stanujkic,Darjan Karabasevic,Gabrijela Popovic,Florentin Smarandache,Edmundas Kazimieras Zavadskas,Ieva Meidute-Kavaliauskiene
Publisher : Infinite Study
Page : 19 pages
File Size : 47,5 Mb
Release : 2021-02-01
Category : Mathematics
ISBN : 8210379456XXX

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Multiple-criteria Decision-making Based on the Use of Single-valued Neutrosophic Sets and Similarity Measures by Dragisa Stanujkic,Darjan Karabasevic,Gabrijela Popovic,Florentin Smarandache,Edmundas Kazimieras Zavadskas,Ieva Meidute-Kavaliauskiene Pdf

As the generalization of the fuzzy and similar sets based on Fuzzy sets, neutrosophic sets provide significant possibilities in the case of solving complex decision problems, often related to uncertainty and unreliability. Neutrosophic sets use three values named the truth degree, the indeterminacy degree and the falsity degree, which allow for a more accurate evaluation of alternatives in relation to complex evaluation criteria. As a result of their application in solving numerous different decision-making problems, several approaches to their ranking have been proposed. Therefore, this paper provides a comprehensive overview of the approaches to the ranking of single-valued neutrosophic numbers and a comparison of the results obtained by using them. Finally, numerical illustrations are given.

Plithogenic sets and their application in decision making

S. Gomathy,D. Nagarajan,S. Broumi,M. Lathamaheswari
Plithogenic sets and their application in decision making Book PDF

Author : S. Gomathy,D. Nagarajan,S. Broumi,M. Lathamaheswari
Publisher : Infinite Study
Page : 17 pages
File Size : 54,9 Mb
Release : 2020-12-01
Category : Mathematics
ISBN : 8210379456XXX

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Plithogenic sets and their application in decision making by S. Gomathy,D. Nagarajan,S. Broumi,M. Lathamaheswari Pdf

This paper aims to test whether Plithogenic aggregation operation is more effective than other sets in its accuracy, while decision making. In order to obtain a better accuracy, the Plithogenic aggregation operation such as Fuzzy set [FS], Intuitionistic fuzzy set [IFS] and Neutrosophic set [NS] used tnorm and tconorm. An illustration is examined in this paper to prove the result of better accuracy using plithogenic aggregation operators in decision making.

Neutrosophic Sets in Decision Analysis and Operations Research

Abdel-Basset, Mohamed,Smarandache, Florentin
Neutrosophic Sets in Decision Analysis and Operations Research Book PDF

Author : Abdel-Basset, Mohamed,Smarandache, Florentin
Publisher : IGI Global
Page : 470 pages
File Size : 50,7 Mb
Release : 2019-12-27
Category : Computers
ISBN : 9781799825579

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Neutrosophic Sets in Decision Analysis and Operations Research by Abdel-Basset, Mohamed,Smarandache, Florentin Pdf

In information technology, the concepts of cost, time, delivery, space, quality, durability, and price have gained greater importance in solving managerial decision-making problems in supply chain models, transportation problems, and inventory control problems. Moreover, competition is becoming tougher in imprecise environments. Neutrosophic sets and logic are gaining significant attention in solving real-life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistency, and indeterminacy. Neutrosophic Sets in Decision Analysis and Operations Research is a critical, scholarly publication that examines various aspects of organizational research through mathematical equations and algorithms and presents neutrosophic theories and their applications in various optimization fields. Featuring a wide range of topics such as information retrieval, decision making, and matrices, this book is ideal for engineers, technicians, designers, mathematicians, practitioners of mathematics in economy and technology, scientists, academicians, professionals, managers, researchers, and students.

Some Distance Measures of Single Valued Neutrosophic Hesitant Fuzzy Sets and Their Applications to Multiple Attribute Decision Making

PRANAB BISWAS,SURAPATI PRAMANIK, BIBHAS C. GIRI
Some Distance Measures of Single Valued Neutrosophic Hesitant Fuzzy Sets and Their Applications to Multiple Attribute Decision Making Book PDF

Author : PRANAB BISWAS,SURAPATI PRAMANIK, BIBHAS C. GIRI
Publisher : Infinite Study
Page : 8 pages
File Size : 45,7 Mb
Release : 2024-06-10
Category : Electronic
ISBN : 8210379456XXX

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Some Distance Measures of Single Valued Neutrosophic Hesitant Fuzzy Sets and Their Applications to Multiple Attribute Decision Making by PRANAB BISWAS,SURAPATI PRAMANIK, BIBHAS C. GIRI Pdf

Single-valued neutrosophic hesitant fuzzy set is a merged form of single-valued neutrosophic sets and hesitant fuzzy sets. This set is a useful tool to handle imprecise, incomplete and inconsistent information existing in multi-attribute decision making problems. In multi-attribute decision making, distance measures play an important role to take a decision regarding alternatives.