Operators On Single Valued Trapezoidal Neutrosophic Numbers And Svtn Group Decision Making

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Operators on Single Valued Trapezoidal Neutrosophic Numbers and SVTN-Group Decision Making

Irfan Deli
Operators on Single Valued Trapezoidal Neutrosophic Numbers and SVTN Group Decision Making Book PDF

Author : Irfan Deli
Publisher : Infinite Study
Page : 20 pages
File Size : 54,8 Mb
Release : 2024-07-03
Category : Mathematics
ISBN : 8210379456XXX

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Operators on Single Valued Trapezoidal Neutrosophic Numbers and SVTN-Group Decision Making by Irfan Deli Pdf

In this paper, we first introduce single valued trapezoidal neutrosophic (SVTN) numbers with their properties. We then define some operations and distances of the SVTN-numbers. Based on these new operations, we also define some aggregation operators, including SVTN-ordered weighted geometric operator, SVTN-hybrid geometric operator, SVTN-ordered weighted arithmetic operator and SVTN-hybrid arithmetic operator. We then examine the properties of these SVTN-information aggregation operators. By using the SVTN-weighted geometric operator and SVTN-hybrid geometric operator, we also define a multi attribute group decision making method, called SVTN-group decision making method. We finally give an illustrative example and comparative analysis to verify the developed method and to demonstrate its practicality and effectiveness.

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 : 47,8 Mb
Release : 2024-07-03
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.

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 22 / 2018

Florentin Smarandache,Said Broumi
Neutrosophic Sets and Systems An International Book Series in Information Science and Engineering vol 22 2018 Book PDF

Author : Florentin Smarandache,Said Broumi
Publisher : Infinite Study
Page : 188 pages
File Size : 54,7 Mb
Release : 2024-07-03
Category : Mathematics
ISBN : 9781599735870

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Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 22 / 2018 by Florentin Smarandache,Said Broumi 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.

SINGLE VALUED (2N+1) SIDED POLYGONAL NEUTROSOPHIC NUMBERS AND SINGLE VALUED (2N) SIDED POLYGONAL NEUTROSOPHIC NUMBERS

Said Broumi,Mullai Murugappan,Mohamed Talea,Assia Bakali,Florentin Smarandache,Prem Kumar Singh,Arindam Dey
SINGLE VALUED 2N 1 SIDED POLYGONAL NEUTROSOPHIC NUMBERS AND SINGLE VALUED 2N SIDED POLYGONAL NEUTROSOPHIC NUMBERS Book PDF

Author : Said Broumi,Mullai Murugappan,Mohamed Talea,Assia Bakali,Florentin Smarandache,Prem Kumar Singh,Arindam Dey
Publisher : Infinite Study
Page : 12 pages
File Size : 41,9 Mb
Release : 2024-07-03
Category : Mathematics
ISBN : 8210379456XXX

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SINGLE VALUED (2N+1) SIDED POLYGONAL NEUTROSOPHIC NUMBERS AND SINGLE VALUED (2N) SIDED POLYGONAL NEUTROSOPHIC NUMBERS by Said Broumi,Mullai Murugappan,Mohamed Talea,Assia Bakali,Florentin Smarandache,Prem Kumar Singh,Arindam Dey Pdf

This paper introduces a single valued (2n as well as 2n+1) sided polygonal neutrosophic numbers in continuation with other defined single valued neutrosophic numbers. The paper provides basic algebra like addition, subtraction and multiplication of a single valued (2n as well as 2n+1) sided polygonal neutrosophic numbers with examples. In addition, the paper introduces matrix for single valued (2n as well as 2n+1) sided polygonal neutrosophic matrix and its properties.

Neutrosophic Sets and Systems, Vol. 35, 2020

Florentin Smarandache, Mohamed Abdel-Basset
Neutrosophic Sets and Systems Vol 35 2020 Book PDF

Author : Florentin Smarandache, Mohamed Abdel-Basset
Publisher : Infinite Study
Page : 596 pages
File Size : 54,6 Mb
Release : 2024-07-03
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, Vol. 35, 2020 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. Some articles in this issue: Neutrosophic Soft Fixed Points, Selection of Alternative under the Framework of Single-Valued Neutrosophic Sets, Application of Single Valued Trapezoidal Neutrosophic Numbers in Transportation Problem.

Neutrosophic Sets and Systems, Book Series, Vol. 35, 2020. An International Book Series in Information Science and Engineering

Florentin Smarandache,Mohamed Abdel-Basset
Neutrosophic Sets and Systems Book Series Vol 35 2020 An International Book Series in Information Science and Engineering Book PDF

Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Infinite Study
Page : 583 pages
File Size : 48,6 Mb
Release : 2024-07-03
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, Book Series, Vol. 35, 2020. An International Book Series in Information Science and Engineering by Florentin Smarandache,Mohamed Abdel-Basset Pdf

Contributors to current issue (listed in papers’ order): Ibrahim Yasser, Abeer Twakol, A. A. Abd El-Khalek, A. A. Salama, Ahmed Sharaf Al-Din, Issam Abu Al-Qasim, Rafif Alhabib, Magdy Badran, Remya P. B, Francina Shalini, Masoud Ghods, Zahra Rostami, A. Sahaya Sudha, Luiz Flavio Autran Monteiro Gomes, K.R. Vijayalakshmi, Prakasam Muralikrishna, Surya Manokaran, Nidhi Singh, Avishek Chakraborty, Soma Bose Biswas, Malini Majumdar, Rakhal Das, Binod Chandra Tripathy, Nidhi Singh, Avishek Chakraborty, Nilabhra Paul, Deepshikha Sarma, Akash Singh, Uttam Kumar Bera, Fatimah M. Mohammed, Sarah W. Raheem, Muhammad Riaz, Florentin Smarandache, Faruk Karaaslan, Masooma Raza Hashmi, Iqra Nawaz, Kousik Das, Sovan Samanta, Kajal De, Xavier Encarnacion, Nivetha Martin, I. Pradeepa, N. Ramila Gandhi, P. Pandiammal, Aiman Muzaffar, Md Tabrez Nafis, Shahab Saquib Sohail, Abhijit Saha, Jhulaneswar Baidya, Debjit Dutta, Irfan Deli, Said Broumi, Mohsin Khalid, Neha Andaleeb Khalid, Md. Hanif Page, Qays Hatem Imran, Shilpi Pal, S. Satham Hussain, Saeid Jafari, N. Durga, Hanieh Shambayati, Mohsen Shafiei Nikabadi, Seyed Mohammad, Ali Khatami Firouzabadi, Mohammad Rahmanimanesh, Mujahid Abbas, Ghulam Murtaza, K. Porselvi, B. Elavarasan, Y. B. Jun, Chinnadurai V, Sindhu M P, K.Radhika, K. Arun Prakash, Malayalan Lathamaheswari, Ruipu Tan, Deivanayagampillai Nagarajan, Talea Mohamed, Assia Bakali, Nivetha Martin, R. Dhavaseelan, Ali Hussein Mahmood Al-Obaidi, Suman Das, Surapati Pramanik, Madad Khan, Muhammad Zeeshan, Saima Anis, Abdul Sami Awan, M. Sarwar Sindhu, Tabasam Rashid, Agha Kashif, Rajesh Kumar Saini, Atul Sangal, Manisha.

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 : 40,6 Mb
Release : 2024-07-03
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.

The shortest path problem in interval valued trapezoidal and triangular neutrosophic environment

Said Broumi, Deivanayagampillai Nagarajan,Assia Bakali, Mohamed Talea,Florentin Smarandache,Malayalan Lathamaheswari
The shortest path problem in interval valued trapezoidal and triangular neutrosophic environment Book PDF

Author : Said Broumi, Deivanayagampillai Nagarajan,Assia Bakali, Mohamed Talea,Florentin Smarandache,Malayalan Lathamaheswari
Publisher : Infinite Study
Page : 14 pages
File Size : 45,5 Mb
Release : 2024-07-03
Category : Mathematics
ISBN : 8210379456XXX

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The shortest path problem in interval valued trapezoidal and triangular neutrosophic environment by Said Broumi, Deivanayagampillai Nagarajan,Assia Bakali, Mohamed Talea,Florentin Smarandache,Malayalan Lathamaheswari Pdf

Real-life decision-making problem has been demonstrated to cover the indeterminacy through single valued neutrosophic set. It is the extension of interval valued neutrosophic set. Most of the problems of real life involve some sort of uncertainty in it among which, one of the famous problem is finding a shortest path of the network. In this paper, a new score function is proposed for interval valued neutrosophic numbers and SPP is solved using interval valued neutrosophic numbers. Additionally, novel algorithms are proposed to find the neutrosophic shortest path by considering interval valued neutrosophic number, trapezoidal and triangular interval valued neutrosophic numbers for the length of the path in a network with illustrative example. Further, comparative analysis has been done for the proposed algorithm with the existing method with the shortcoming and advantage of the proposed method and it shows the effectiveness of the proposed algorithm.

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 : 53,9 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.

Handbook of Research on the Applications of Neutrosophic Sets Theory and Their Extensions in Education

Broumi, Said
Handbook of Research on the Applications of Neutrosophic Sets Theory and Their Extensions in Education Book PDF

Author : Broumi, Said
Publisher : IGI Global
Page : 386 pages
File Size : 44,8 Mb
Release : 2023-06-09
Category : Mathematics
ISBN : 9781668478370

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Handbook of Research on the Applications of Neutrosophic Sets Theory and Their Extensions in Education by Broumi, Said Pdf

Fuzzy sets have experienced multiple expansions since their conception to enhance their capacity to convey complex information. Intuitionistic fuzzy sets, image fuzzy sets, q-rung orthopair fuzzy sets, and neutrosophic sets are a few of these extensions. Researchers and academics have acquired a lot of information about their theories and methods for making decisions. However, only a small number of research findings discuss how neutrosophic sets theory and their extensions (NSTEs) are used in education. The Handbook of Research on the Applications of Neutrosophic Sets Theory and Their Extensions in Education implements fresh scientific approaches to enhance the quality of decisions under neutrosophic environments, particularly within education. Covering key topics such as data modeling, educational technologies, decision making, and learning management systems, this major reference work is ideal for instructional designers, researchers, academicians, scholars, practitioners, instructors, and students.

Research on the Shortest Path Solution Method of Interval Valued Neutrosophic Graphs Based on the Ant Colony Algorithm

Lehua Yang,Dongmei Li,Ruipu Tan
Research on the Shortest Path Solution Method of Interval Valued Neutrosophic Graphs Based on the Ant Colony Algorithm Book PDF

Author : Lehua Yang,Dongmei Li,Ruipu Tan
Publisher : Infinite Study
Page : 17 pages
File Size : 50,9 Mb
Release : 2024-07-03
Category : Mathematics
ISBN : 8210379456XXX

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Research on the Shortest Path Solution Method of Interval Valued Neutrosophic Graphs Based on the Ant Colony Algorithm by Lehua Yang,Dongmei Li,Ruipu Tan Pdf

The shortest path problem (SPP) is considerably important in several fields. After typhoons, the resulting damage leads to uncertainty regarding the path weight that can be expressed accurately. A neutrosophic set is a collection of the truth membership, indeterminacy membership, and falsity membership degrees of the elements. In an uncertain environment, neutrosophic numbers can express the edge distance more effectively.

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 24 / 2018

Florentin Smarandache,Mohamed Abdel-Basset
Neutrosophic Sets and Systems An International Book Series in Information Science and Engineering vol 24 2018 Book PDF

Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Infinite Study
Page : 154 pages
File Size : 45,7 Mb
Release : 2024-07-03
Category : Mathematics
ISBN : 9781599735986

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Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 24 / 2018 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.

Shortest Path Solution of Trapezoidal Fuzzy Neutrosophic Graph Based on Circle-Breaking Algorithm

Lehua Yang,Dongmei Li,Ruipu Tan
Shortest Path Solution of Trapezoidal Fuzzy Neutrosophic Graph Based on Circle Breaking Algorithm Book PDF

Author : Lehua Yang,Dongmei Li,Ruipu Tan
Publisher : Infinite Study
Page : 22 pages
File Size : 52,7 Mb
Release : 2024-07-03
Category : Mathematics
ISBN : 8210379456XXX

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Shortest Path Solution of Trapezoidal Fuzzy Neutrosophic Graph Based on Circle-Breaking Algorithm by Lehua Yang,Dongmei Li,Ruipu Tan Pdf

The shortest path problem is a topic of increasing interest in various scientific fields. The damage to roads and bridges caused by disasters makes traffic routes that can be accurately expressed become indeterminate. A neutrosophic set is a collection of the truth membership, indeterminacy membership, and falsity membership of the constituent elements. It has a symmetric form and indeterminacy membership is their axis of symmetry. In uncertain environments, the neutrosophic number can more effectively express the edge distance.

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 : 50,5 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.

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 : 53,6 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.