An Extended Vikor Method For Multiple Criteria Group Decision Making With Triangular Fuzzy Neutrosophic Numbers

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An Extended VIKOR Method for Multiple Criteria Group Decision Making with Triangular Fuzzy Neutrosophic Numbers

Jie Wang, Guiwu We,Mao Lu
An Extended VIKOR Method for Multiple Criteria Group Decision Making with Triangular Fuzzy Neutrosophic Numbers Book PDF

Author : Jie Wang, Guiwu We,Mao Lu
Publisher : Infinite Study
Page : 15 pages
File Size : 43,9 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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An Extended VIKOR Method for Multiple Criteria Group Decision Making with Triangular Fuzzy Neutrosophic Numbers by Jie Wang, Guiwu We,Mao Lu Pdf

In this article, we combine the original VIKOR model with a triangular fuzzy neutrosophic set to propose the triangular fuzzy neutrosophic VIKOR method. In the extended method, we use the triangular fuzzy neutrosophic numbers (TFNNs) to present the criteria values in multiple criteria group decision making (MCGDM) problems. Firstly, we summarily introduce the fundamental concepts, operation formulas and distance calculating method of TFNNs. Then we review some aggregation operators of TFNNs. Thereafter, we extend the original VIKOR model to the triangular fuzzy neutrosophic environment and introduce the calculating steps of the TFNNs VIKOR method, our proposed method which is more reasonable and scientific for considering the conflicting criteria. Furthermore, a numerical example for potential evaluation of emerging technology commercialization is presented to illustrate the new method, and some comparisons are also conducted to further illustrate advantages of the new method.

An Extended VIKOR Method for Multiple Criteria Group Decision Making with Triangular Fuzzy Neutrosophic Numbers

Jie Wang,Guiwu Wei,Mao Lu
An Extended VIKOR Method for Multiple Criteria Group Decision Making with Triangular Fuzzy Neutrosophic Numbers Book PDF

Author : Jie Wang,Guiwu Wei,Mao Lu
Publisher : Infinite Study
Page : 15 pages
File Size : 48,6 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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An Extended VIKOR Method for Multiple Criteria Group Decision Making with Triangular Fuzzy Neutrosophic Numbers by Jie Wang,Guiwu Wei,Mao Lu Pdf

In this article, we combine the original VIKOR model with a triangular fuzzy neutrosophic set to propose the triangular fuzzy neutrosophic VIKOR method.

An extended multiple criteria decision making method based on neutrosophic hesitant fuzzy information

Peide Liu ,Lili Zhang
An extended multiple criteria decision making method based on neutrosophic hesitant fuzzy information Book PDF

Author : Peide Liu ,Lili Zhang
Publisher : Infinite Study
Page : 15 pages
File Size : 50,6 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 8210379456XXX

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An extended multiple criteria decision making method based on neutrosophic hesitant fuzzy information by Peide Liu ,Lili Zhang Pdf

Neutrosophic hesitant fuzzy set is the generalization of neutrosophic set and the hesitant fuzzy set, which can easily express the uncertain, incomplete and inconsistent information in cognitive activity, and the VIKOR (from Serbian:VIseKriterijumska Optimizacija I Kompromisno Resenje) method is an effective decision making tool which can select the optimal alternative by the maximum ‘‘group utility’’ and minimum of an ‘‘individual regret’’ with cognitive computation.

VIKOR method for multiple criteria group decision making under 2-tuple linguistic neutrosophic environment

Guiwu Wei,Jie Wang,Jianping Lu,Jiang Wu,Cun Wei,Fuad E. Alsaadi,Tasawar Hayat
VIKOR method for multiple criteria group decision making under 2 tuple linguistic neutrosophic environment Book PDF

Author : Guiwu Wei,Jie Wang,Jianping Lu,Jiang Wu,Cun Wei,Fuad E. Alsaadi,Tasawar Hayat
Publisher : Infinite Study
Page : 25 pages
File Size : 47,6 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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VIKOR method for multiple criteria group decision making under 2-tuple linguistic neutrosophic environment by Guiwu Wei,Jie Wang,Jianping Lu,Jiang Wu,Cun Wei,Fuad E. Alsaadi,Tasawar Hayat Pdf

In this article, the VIKOR method is proposed to solve the multiple criteria group decision making (MCGDM) with 2-tuple linguistic neutrosophic numbers (2TLNNs). Firstly, the fundamental concepts, operation formulas and distance calculating method of 2TLNNs are introduced. Then some aggregation operators of 2TLNNs are reviewed.

An Extended MABAC Method Based on Triangular Fuzzy Neutrosophic Numbers for Multiple-Criteria Group Decision Making Problems

Irvanizam Irvanizam,Nawar Nabila Zi,Rahma Zuhra,Amrusi Amrusi,Hizir Sofyan
An Extended MABAC Method Based on Triangular Fuzzy Neutrosophic Numbers for Multiple Criteria Group Decision Making Problems Book PDF

Author : Irvanizam Irvanizam,Nawar Nabila Zi,Rahma Zuhra,Amrusi Amrusi,Hizir Sofyan
Publisher : Infinite Study
Page : 18 pages
File Size : 54,7 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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An Extended MABAC Method Based on Triangular Fuzzy Neutrosophic Numbers for Multiple-Criteria Group Decision Making Problems by Irvanizam Irvanizam,Nawar Nabila Zi,Rahma Zuhra,Amrusi Amrusi,Hizir Sofyan Pdf

In this manuscript, we extend the traditional multi-attributive border approximation area comparison (MABAC) method for the multiple-criteria group decision-making (MCGDM) with triangular fuzzy neutrosophic numbers (TFNNs) to propose the TFNNs-MABAC method.

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 : 52,8 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.

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 : 41,9 Mb
Release : 2024-06-29
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.

Neutrosophic Information Theory and Applications

Florentin Smarandach,Jun Ye
Neutrosophic Information Theory and Applications Book PDF

Author : Florentin Smarandach,Jun Ye
Publisher : Infinite Study
Page : 212 pages
File Size : 47,7 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 8210379456XXX

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Neutrosophic Information Theory and Applications by Florentin Smarandach,Jun Ye Pdf

The concept of Information is to disseminate scientific results achieved via experiments and theoretical results in depth. It is very important to enable researchers and practitioners to learn new technology and findings that enable development in the applied field.

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 : 40,9 Mb
Release : 2024-06-29
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.

Collected Papers. Volume IX

Florentin Smarandache
Collected Papers Volume IX Book PDF

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 1008 pages
File Size : 47,6 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.

Multi-criteria Decision Making Methods with Bipolar Fuzzy Sets

Muhammad Akram,Shumaiza,José Carlos Rodríguez Alcantud
Multi criteria Decision Making Methods with Bipolar Fuzzy Sets Book PDF

Author : Muhammad Akram,Shumaiza,José Carlos Rodríguez Alcantud
Publisher : Springer Nature
Page : 232 pages
File Size : 43,9 Mb
Release : 2023-05-21
Category : Business & Economics
ISBN : 9789819905690

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Multi-criteria Decision Making Methods with Bipolar Fuzzy Sets by Muhammad Akram,Shumaiza,José Carlos Rodríguez Alcantud Pdf

This monograph discusses the theoretical and practical development of multicriteria decision making (MCDM). The main purpose of MCDM is the construction of systematized strategies for the "optimisation" of feasible options, as well as the justification of why some alternatives can be declared "optimal". However, at time, we must make decisions in an uncertain environment and such inconvenience gives rise to a much more elaborate scenario. This book highlights models where this lack of certainty can be flexibly fitted in and goes on to explore valuable strategies for making decisions under a multiplicity of criteria. Methods discussed include bipolar fuzzy TOPSIS method, bipolar fuzzy ELECTRE-I method, bipolar fuzzy ELECTRE-II method, bipolar fuzzy VIKOR method, bipolar fuzzy PROMETHEE method, and two-tuple linguistic bipolar fuzzy Heronian mean operators. This book is a valuable resource for researchers, computer scientists, and social scientists alike.

New Development of Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Algebraic Structures, and Neutrosophic Plithogenic Optimizations

Florentin Smarandache,Yanhui Guo
New Development of Neutrosophic Probability Neutrosophic Statistics Neutrosophic Algebraic Structures and Neutrosophic Plithogenic Optimizations Book PDF

Author : Florentin Smarandache,Yanhui Guo
Publisher : Infinite Study
Page : 411 pages
File Size : 47,6 Mb
Release : 2022-09-01
Category : Mathematics
ISBN : 8210379456XXX

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New Development of Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Algebraic Structures, and Neutrosophic Plithogenic Optimizations by Florentin Smarandache,Yanhui Guo Pdf

This volume presents state-of-the-art papers on new topics related to neutrosophic theories, such as neutrosophic algebraic structures, neutrosophic triplet algebraic structures, neutrosophic extended triplet algebraic structures, neutrosophic algebraic hyperstructures, neutrosophic triplet algebraic hyperstructures, neutrosophic n-ary algebraic structures, neutrosophic n-ary algebraic hyperstructures, refined neutrosophic algebraic structures, refined neutrosophic algebraic hyperstructures, quadruple neutrosophic algebraic structures, refined quadruple neutrosophic algebraic structures, neutrosophic image processing, neutrosophic image classification, neutrosophic computer vision, neutrosophic machine learning, neutrosophic artificial intelligence, neutrosophic data analytics, neutrosophic deep learning, and neutrosophic symmetry, as well as their applications in the real world.

Neutrosophic Modeling of Talcott Parsons’s Action and Decision-Making Applications for It

Cahit Aslan ,Abdullah Kargın ,Memet Şahin
Neutrosophic Modeling of Talcott Parsons s Action and Decision Making Applications for It Book PDF

Author : Cahit Aslan ,Abdullah Kargın ,Memet Şahin
Publisher : Infinite Study
Page : 19 pages
File Size : 41,9 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Modeling of Talcott Parsons’s Action and Decision-Making Applications for It by Cahit Aslan ,Abdullah Kargın ,Memet Şahin Pdf

The grand theory of action of Parsons has an important place in social theories. Furthermore, there are many uncertainties in the theory of Parsons. Classical math logic is often insufficient to explain these uncertainties. In this study, we explain the grand theory of action of Parsons in neutrosociology for the first time.

VIKOR Based MAGDM strategy under Bipolar Neutrosophic Set Environment

Surapati Pramanik,Shyamal Dalapati,Shariful Alam,Tapan Kumar Roy
VIKOR Based MAGDM strategy under Bipolar Neutrosophic Set Environment Book PDF

Author : Surapati Pramanik,Shyamal Dalapati,Shariful Alam,Tapan Kumar Roy
Publisher : Infinite Study
Page : 13 pages
File Size : 47,8 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 8210379456XXX

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VIKOR Based MAGDM strategy under Bipolar Neutrosophic Set Environment by Surapati Pramanik,Shyamal Dalapati,Shariful Alam,Tapan Kumar Roy Pdf

In this paper, we extend the VIKOR (VIsekriterijumska optimizacija i KOmpromisno Resenje) strategy to multiple attribute group decision-making (MAGDM) with bipolar neutrosophic set environment. In this paper, we first define VIKOR strategy in bipolar neutrosophic set environment to handle MAGDM problems, which means we combine the VIKOR with bipolar neutrosophic number to deal with MAGDM.

Neutrosophic Sets and Systems

Florentin Smarandache,Surapati Pramanik
Neutrosophic Sets and Systems Book PDF

Author : Florentin Smarandache,Surapati Pramanik
Publisher : Infinite Study
Page : 143 pages
File Size : 40,8 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems 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.