A Multi Criteria Group Decision Making Method With Possibility Degree And Power Aggregation Operators Of Single Trapezoidal Neutrosophic Numbers

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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 : 48,9 Mb
Release : 2024-06-27
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

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 : 41,6 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 : 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.

Exponential Aggregation Operator of Interval Neutrosophic Numbers and Its Application in Typhoon Disaster Evaluation

Ruipu Tan,Wende Zhang,Shengqun Chen
Exponential Aggregation Operator of Interval Neutrosophic Numbers and Its Application in Typhoon Disaster Evaluation Book PDF

Author : Ruipu Tan,Wende Zhang,Shengqun Chen
Publisher : Infinite Study
Page : 22 pages
File Size : 47,5 Mb
Release : 2024-06-27
Category : Electronic
ISBN : 8210379456XXX

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Exponential Aggregation Operator of Interval Neutrosophic Numbers and Its Application in Typhoon Disaster Evaluation by Ruipu Tan,Wende Zhang,Shengqun Chen Pdf

In recent years, typhoon disasters have occurred frequently and the economic losses caused by them have received increasing attention. This study focuses on the evaluation of typhoon disasters based on the interval neutrosophic set theory.

Collected Papers. Volume IX

Florentin Smarandache
Collected Papers Volume IX Book PDF

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 1008 pages
File Size : 47,7 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.

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 : 54,5 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.

Some operators with IVGSVTrN-numbers and their applications to multiple criteria group decision making

Irfan Deli
Some operators with IVGSVTrN numbers and their applications to multiple criteria group decision making Book PDF

Author : Irfan Deli
Publisher : Infinite Study
Page : 21 pages
File Size : 40,7 Mb
Release : 2024-06-27
Category : Mathematics
ISBN : 8210379456XXX

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Some operators with IVGSVTrN-numbers and their applications to multiple criteria group decision making by Irfan Deli Pdf

Interval valued generalized single valued neutrosophic trapezoidal number (IVGSVTrN-number), which permits the membership degrees of an element to a set expressed with intervals rather than exact numbers, is considered to be very useful to describe uncertain information for analyzing multiple criteria decision making (MCDM) problems. In this paper, we firstly introduced the concept of IVGSVTrN-number with some operations based on neutrosophic number. Then, we presented some aggregation and geometric operators. Finally, we developed a approaches for multiple criteria group decision making problems based on the proposed operators and we applied the method to a numerical example to illustrate proposed approach.

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 : 41,9 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.

Induced generalized interval neutrosophic Shapley hybrid operators and their application in multi-attribute decision making

P. D. Liu,G. L. Tang,W. L. Liu
Induced generalized interval neutrosophic Shapley hybrid operators and their application in multi attribute decision making Book PDF

Author : P. D. Liu,G. L. Tang,W. L. Liu
Publisher : Infinite Study
Page : 18 pages
File Size : 51,8 Mb
Release : 2024-06-27
Category : Business & Economics
ISBN : 8210379456XXX

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Induced generalized interval neutrosophic Shapley hybrid operators and their application in multi-attribute decision making by P. D. Liu,G. L. Tang,W. L. Liu Pdf

With respect to the interval neutrosophic Multi-Attribute Decision-Making (MADM) problems, the MADM method is developed based on some interval neutrosophic aggregation operators.

Neutrosophic Operational Research

Florentin Smarandache,Mohamed Abdel-Basset
Neutrosophic Operational Research Book PDF

Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Springer Nature
Page : 628 pages
File Size : 51,6 Mb
Release : 2021-09-09
Category : Business & Economics
ISBN : 9783030571979

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Neutrosophic Operational Research by Florentin Smarandache,Mohamed Abdel-Basset Pdf

This book addresses new concepts, methods, algorithms, modeling, and applications of green supply chain, inventory control problems, assignment problems, transportation problem, linear problems and new information related to optimization for the topic from the theoretical and applied viewpoints of neutrosophic sets and logic. The book is an innovatory of new tools and procedures, such as: Neutrosophic Statistical Tests and Dependent State Samplings, Neutrosophic Probabilistic Expert Systems, Neutrosophic HyperSoft Set, Quadripartitioned Neutrosophic Cross-Entropy, Octagonal and Spherical and Cubic Neutrosophic Numbers used in machine learning. It highlights the process of neutrosofication {which means to split the universe into three parts, two opposite ones (Truth and Falsehood), and an Indeterminate or neutral one (I) in between them}. It explains Three-Ways Decision, how the universe set is split into three different distinct areas, in regard to the decision process, representing: Acceptance, Noncommitment, and Rejection, respectively. The Three-Way Decision is used in the Neutrosophic Linguistic Rough Set, which has never been done before.

LINEAR OPTIMIZATION METHOD ON SINGLE VALUED NEUTROSOPHIC SET AND ITS SENSITIVITY ANALYSIS

IRFAN DELI
LINEAR OPTIMIZATION METHOD ON SINGLE VALUED NEUTROSOPHIC SET AND ITS SENSITIVITY ANALYSIS Book PDF

Author : IRFAN DELI
Publisher : Infinite Study
Page : 10 pages
File Size : 43,5 Mb
Release : 2024-06-27
Category : Mathematics
ISBN : 8210379456XXX

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LINEAR OPTIMIZATION METHOD ON SINGLE VALUED NEUTROSOPHIC SET AND ITS SENSITIVITY ANALYSIS by IRFAN DELI Pdf

Recently, decision making problems has prompted extensive awareness, especially multi-attribute decision-making problem in single valued neutrosophic sets.

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 25 / 2019

Florentin Smarandache,Mohamed Abdel-Basset
Neutrosophic Sets and Systems An International Book Series in Information Science and Engineering vol 25 2019 Book PDF

Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Infinite Study
Page : 200 pages
File Size : 48,6 Mb
Release : 2024-06-27
Category : Mathematics
ISBN : 9781599735993

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Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 25 / 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.

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 : 43,6 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.

q-Rung Orthopair Fuzzy Sets

Harish Garg
q Rung Orthopair Fuzzy Sets Book PDF

Author : Harish Garg
Publisher : Springer Nature
Page : 558 pages
File Size : 52,5 Mb
Release : 2022-09-08
Category : Computers
ISBN : 9789811914492

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q-Rung Orthopair Fuzzy Sets by Harish Garg Pdf

This book collects chapters which discuss interdisciplinary solutions to complex problems by using different approaches in order to save money, time and resources. The book presents the results on the recent advancements in artificial intelligence, computational intelligence, decision-making problems, emerging problems and practical achievements in the broad knowledge management field. q-ROFS is one of the hot topics for all the researchers, industrialists as well as academicians. This book is of interest to professionals and researchers working in the field of decision making and computational intelligence, as well as postgraduate and undergraduate students studying applications of fuzzy sets. The book helps solve different kinds of the decision-making problems such as medical diagnosis, pattern recognition, construction problems and technology selection under the uncertain fuzzy environment. Containing 19 chapters, the book begins by giving a topology of the q-ROFSs and their applications. It then progresses in a logical fashion, dedicating a chapter to each approach, including the generalized information measures for q-ROFSs, implementation of q-ROFSs to medical diagnosis, inventory model, multi-attribute decision-making and approaches to real-life industrial problems such as green campus transportation, social responsibility evaluation pattern and extensions of the q-ROFSs.

Toward Humanoid Robots: The Role of Fuzzy Sets

Cengiz Kahraman,Eda Bolturk
Toward Humanoid Robots The Role of Fuzzy Sets Book PDF

Author : Cengiz Kahraman,Eda Bolturk
Publisher : Springer Nature
Page : 310 pages
File Size : 44,6 Mb
Release : 2021-04-04
Category : Technology & Engineering
ISBN : 9783030671631

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Toward Humanoid Robots: The Role of Fuzzy Sets by Cengiz Kahraman,Eda Bolturk Pdf

This book offers a comprehensive reference guide for modeling humanoid robots using intelligent and fuzzy systems. It provides readers with the necessary intelligent and fuzzy tools for controlling humanoid robots by incomplete, vague, and imprecise information or insufficient data, where classical modeling approaches cannot be applied. The respective chapters, written by prominent researchers, explain a wealth of both basic and advanced concepts including fuzzy control, metaheuristic-based control, neutrosophic control, etc. To foster reader comprehension, all chapters include relevant numerical examples or case studies. Taken together, they form an excellent reference guide for researchers, lecturers, and postgraduate students pursuing research on humanoid robots. Moreover, by extending all the main aspects of humanoid robots to its intelligent and fuzzy counterparts, the book presents a dynamic snapshot of the field that is expected to stimulate new directions, ideas, and developments.