Simplified Neutrosophic Sets Based On Interval Dependent Degree For Multi Criteria Group Decision Making Problems

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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 : 45,6 Mb
Release : 2024-06-27
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.

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 : 46,9 Mb
Release : 2024-06-27
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.

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 : 50,9 Mb
Release : 2024-06-27
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.

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 : 51,6 Mb
Release : 2024-06-27
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.

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets

Florentin Smarandache,Xiaohong Zhang,Mumtaz Ali
Algebraic Structures of Neutrosophic Triplets Neutrosophic Duplets or Neutrosophic Multisets Book PDF

Author : Florentin Smarandache,Xiaohong Zhang,Mumtaz Ali
Publisher : MDPI
Page : 450 pages
File Size : 49,8 Mb
Release : 2019-04-04
Category : Mathematics
ISBN : 9783038974758

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Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets by Florentin Smarandache,Xiaohong Zhang,Mumtaz Ali Pdf

Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity {i.e. element, concept, idea, theory, logical proposition, etc.}, is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded, which have a similar form (x, neut(x), anti(x)), that satisfy several axioms, for each element x in a given set. This collective book presents original research papers by many neutrosophic researchers from around the world, that report on the state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets and their algebraic structures – that have been defined recently in 2016 but have gained interest from world researchers. Connections between classical algebraic structures and neutrosophic triplet / duplet / multiset structures are also studied. And numerous neutrosophic applications in various fields, such as: multi-criteria decision making, image segmentation, medical diagnosis, fault diagnosis, clustering data, neutrosophic probability, human resource management, strategic planning, forecasting model, multi-granulation, supplier selection problems, typhoon disaster evaluation, skin lesson detection, mining algorithm for big data analysis, etc.

Collected Papers. Volume IX

Florentin Smarandache
Collected Papers Volume IX Book PDF

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 1008 pages
File Size : 45,9 Mb
Release : 2022-05-10
Category : Mathematics
ISBN : 8210379456XXX

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Collected Papers. Volume IX by Florentin Smarandache Pdf

This ninth volume of Collected Papers includes 87 papers comprising 982 pages on Neutrosophic Theory and its applications in Algebra, written between 2014-2022 by the author alone or in collaboration with the following 81 co-authors (alphabetically ordered) from 19 countries: E.O. Adeleke, A.A.A. Agboola, Ahmed B. Al-Nafee, Ahmed Mostafa Khalil, Akbar Rezaei, S.A. Akinleye, Ali Hassan, Mumtaz Ali, Rajab Ali Borzooei , Assia Bakali, Cenap Özel, Victor Christianto, Chunxin Bo, Rakhal Das, Bijan Davvaz, R. Dhavaseelan, B. Elavarasan, Fahad Alsharari, T. Gharibah, Hina Gulzar, Hashem Bordbar, Le Hoang Son, Emmanuel Ilojide, Tèmítópé Gbóláhàn Jaíyéolá, M. Karthika, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Huma Khan, Madad Khan, Mohsin Khan, Hee Sik Kim, Seon Jeong Kim, Valeri Kromov, R. M. Latif, Madeleine Al-Tahan, Mehmat Ali Ozturk, Minghao Hu, S. Mirvakili, Mohammad Abobala, Mohammad Hamidi, Mohammed Abdel-Sattar, Mohammed A. Al Shumrani, Mohamed Talea, Muhammad Akram, Muhammad Aslam, Muhammad Aslam Malik, Muhammad Gulistan, Muhammad Shabir, G. Muhiuddin, Memudu Olaposi Olatinwo, Osman Anis, Choonkil Park, M. Parimala, Ping Li, K. Porselvi, D. Preethi, S. Rajareega, N. Rajesh, Udhayakumar Ramalingam, Riad K. Al-Hamido, Yaser Saber, Arsham Borumand Saeid, Saeid Jafari, Said Broumi, A.A. Salama, Ganeshsree Selvachandran, Songtao Shao, Seok-Zun Song, Tahsin Oner, M. Mohseni Takallo, Binod Chandra Tripathy, Tugce Katican, J. Vimala, Xiaohong Zhang, Xiaoyan Mao, Xiaoying Wu, Xingliang Liang, Xin Zhou, Yingcang Ma, Young Bae Jun, Juanjuan Zhang.

Data Science

Jing He,Philip S. Yu,Yong Shi,Xingsen Li,Zhijun Xie,Guangyan Huang,Jie Cao,Fu Xiao
Data Science Book PDF

Author : Jing He,Philip S. Yu,Yong Shi,Xingsen Li,Zhijun Xie,Guangyan Huang,Jie Cao,Fu Xiao
Publisher : Springer Nature
Page : 720 pages
File Size : 54,7 Mb
Release : 2020-02-01
Category : Computers
ISBN : 9789811528101

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Data Science by Jing He,Philip S. Yu,Yong Shi,Xingsen Li,Zhijun Xie,Guangyan Huang,Jie Cao,Fu Xiao Pdf

This book constitutes the refereed proceedings of the 6th International Conference on Data Science, ICDS 2019, held in Ningbo, China, during May 2019. The 64 revised full papers presented were carefully reviewed and selected from 210 submissions. The research papers cover the areas of Advancement of Data Science and Smart City Applications, Theory of Data Science, Data Science of People and Health, Web of Data, Data Science of Trust and Internet of Things.

Multi-criteria decision-making method based on a cross-entropy with interval neutrosophic sets

Zhang-peng Tian,Hong-yu Zhang,Jing Wang,Jian-qiang Wang,Xiao-hong Chen
Multi criteria decision making method based on a cross entropy with interval neutrosophic sets Book PDF

Author : Zhang-peng Tian,Hong-yu Zhang,Jing Wang,Jian-qiang Wang,Xiao-hong Chen
Publisher : Infinite Study
Page : 11 pages
File Size : 49,8 Mb
Release : 2024-06-27
Category : Electronic
ISBN : 8210379456XXX

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Multi-criteria decision-making method based on a cross-entropy with interval neutrosophic sets by Zhang-peng Tian,Hong-yu Zhang,Jing Wang,Jian-qiang Wang,Xiao-hong Chen Pdf

In this paper, two optimisation models are established to determine the criterion weights in multi-criteria decision-making situations where knowledge regarding the weight information is incomplete and the criterion values are interval neutrosophic numbers.

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume I

Florentin Smarandache,Xiaohong Zhang,Mumtaz Ali
Algebraic Structures of Neutrosophic Triplets Neutrosophic Duplets or Neutrosophic Multisets Volume I Book PDF

Author : Florentin Smarandache,Xiaohong Zhang,Mumtaz Ali
Publisher : Infinite Study
Page : 480 pages
File Size : 41,8 Mb
Release : 2024-06-27
Category : Mathematics
ISBN : 9783038973850

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Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume I by Florentin Smarandache,Xiaohong Zhang,Mumtaz Ali Pdf

Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity (i.e., element, concept, idea, theory, logical proposition, etc.), is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded; they have a similar form: (x, neut(x), anti(x), that satisfy some axioms, for each element x in a given set. This book contains the successful invited submissions to a special issue of Symmetry, reporting on state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets, and their algebraic structures—that have been defined recently in 2016, but have gained interest from world researchers, and several papers have been published in first rank international journals.

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 : 55,5 Mb
Release : 2024-06-27
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.

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume II

Florentin Smarandache,Xiaohong Zhang,Mumtaz Ali
Algebraic Structures of Neutrosophic Triplets Neutrosophic Duplets or Neutrosophic Multisets Volume II Book PDF

Author : Florentin Smarandache,Xiaohong Zhang,Mumtaz Ali
Publisher : Infinite Study
Page : 450 pages
File Size : 40,9 Mb
Release : 2024-06-27
Category : Mathematics
ISBN : 9783038974765

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Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume II by Florentin Smarandache,Xiaohong Zhang,Mumtaz Ali Pdf

Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity (i.e., element, concept, idea, theory, logical proposition, etc.), is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded; they have a similar form: (x, neut(x), anti(x), that satisfy some axioms, for each element x in a given set. This book contains the successful invited submissions to a special issue of Symmetry, reporting on state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets, and their algebraic structures—that have been defined recently in 2016, but have gained interest from world researchers, and several papers have been published in first rank international journals.

The Encyclopedia of Neutrosophic Researchers, 3rd volume

Florentin Smarandache
The Encyclopedia of Neutrosophic Researchers 3rd volume Book PDF

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 144 pages
File Size : 50,8 Mb
Release : 2024-06-27
Category : Mathematics
ISBN : 8210379456XXX

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The Encyclopedia of Neutrosophic Researchers, 3rd volume by Florentin Smarandache Pdf

This is the third volume of the Encyclopedia of Neutrosophic Researchers, edited from materials offered by the authors who responded to the editor’s invitation. The authors are listed alphabetically. The introduction contains a short history of neutrosophics, together with links to the main papers and books.

Multi-criteria decision-making method based on a cross-entropy with interval neutrosophic sets

Zhang-peng Tian,Hong-yu Zhang, Jing Wang,Jian-qiang Wang , Xiao-hong Chen
Multi criteria decision making method based on a cross entropy with interval neutrosophic sets Book PDF

Author : Zhang-peng Tian,Hong-yu Zhang, Jing Wang,Jian-qiang Wang , Xiao-hong Chen
Publisher : Infinite Study
Page : 12 pages
File Size : 48,5 Mb
Release : 2024-06-27
Category : Electronic
ISBN : 8210379456XXX

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Multi-criteria decision-making method based on a cross-entropy with interval neutrosophic sets by Zhang-peng Tian,Hong-yu Zhang, Jing Wang,Jian-qiang Wang , Xiao-hong Chen Pdf

Fuzzy sets (FSs), which were proposed by Zadeh (1965), are regarded as a comprehensive tool for solving multi-criteria decision-making(MCDM)problems(Bellman&Zadeh,1970).

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 : 49,5 Mb
Release : 2024-06-27
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 single-valued trapezoidal neutrosophic preference relations with complete weight information

Ru-xia Liang,Jian-qiang Wang,Hong-yu Zhang
A multi criteria decision making method based on single valued trapezoidal neutrosophic preference relations with complete weight information Book PDF

Author : Ru-xia Liang,Jian-qiang Wang,Hong-yu Zhang
Publisher : Infinite Study
Page : 16 pages
File Size : 42,5 Mb
Release : 2024-06-27
Category : Electronic
ISBN : 8210379456XXX

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A multi-criteria decision-making method based on single-valued trapezoidal neutrosophic preference relations with complete weight information by Ru-xia Liang,Jian-qiang Wang,Hong-yu Zhang Pdf

Single-valued trapezoidal neutrosophic numbers (SVTNNs) have a strong capacity to depict uncertain, inconsistent, and incomplete information about decisionmaking problems.