Multi Criteria Decision Making Method Based On Prioritized Muirhead Mean Aggregation Operator Under Neutrosophic Set Environment

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Multi-Criteria Decision-Making Method Based on Prioritized Muirhead Mean Aggregation Operator under Neutrosophic Set Environment

Author : Harish Garg,Nancy
Publisher : Infinite Study
Page : 25 pages
File Size : 51,8 Mb
Release : 2024-06-29
Category : Business & Economics
ISBN : 8210379456XXX

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Multi-Criteria Decision-Making Method Based on Prioritized Muirhead Mean Aggregation Operator under Neutrosophic Set Environment by Harish Garg,Nancy Pdf

The aim of this paper is to introduce some new operators for aggregating single-valued neutrosophic (SVN) information and to apply them to solve the multi-criteria decision-making (MCDM) problems.

Linguistic neutrosophic Hamacher aggregation operators and the application in evaluating land reclamation schemes for mines

Author : Weizhang Liang,Guoyan Zhao,Suizhi Luo
Publisher : Infinite Study
Page : 29 pages
File Size : 47,7 Mb
Release : 2024-06-29
Category : Business & Economics
ISBN : 8210379456XXX

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Linguistic neutrosophic Hamacher aggregation operators and the application in evaluating land reclamation schemes for mines by Weizhang Liang,Guoyan Zhao,Suizhi Luo Pdf

Land reclamation has become a significant way for the improvement of ecological environment in mining areas. When selecting the optimal land reclamation scheme, LNNs (linguistic neutrosophic numbers) are suitable to describe the complex fuzzy evaluation information through linguistic truth, indeterminacy and falsity membership degrees. Furthermore, the Hamacher aggregation operators are good tools to handle multi-criteria decision making problems. Accordingly, the aim of this paper is to extend Hamacher aggregation operators with LNNs and then build a decision making framework for evaluating land reclamation schemes in mining areas.

Logarithmic Hybrid Aggregation Operators Based on Single Valued Neutrosophic Sets and Their Applications in Decision Support Systems

Author : Shahzaib Ashraf,Saleem Abdullah,Florentin Smarandache,Noor ul Amin
Publisher : Infinite Study
Page : 23 pages
File Size : 52,7 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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Logarithmic Hybrid Aggregation Operators Based on Single Valued Neutrosophic Sets and Their Applications in Decision Support Systems by Shahzaib Ashraf,Saleem Abdullah,Florentin Smarandache,Noor ul Amin Pdf

The purpose of this paper is to introduce new aggregation operators based on logarithmic operations and to develop a multi-criteria decision-making approach to study the interaction between the input argument under the single valued neutrosophic (SVN) environment. The main advantage of the proposed operator is that it can deal with the situations of the positive interaction, negative interaction or non-interaction among the criteria, during decision-making process.

The Generalized Neutrosophic Cubic Aggregation Operators and Their Application to Multi-Expert Decision-Making Method

Author : Majid Khan , Muhammad Gulistan, Mumtaz Ali,Wathek Chammam
Publisher : Infinite Study
Page : 17 pages
File Size : 41,9 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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The Generalized Neutrosophic Cubic Aggregation Operators and Their Application to Multi-Expert Decision-Making Method by Majid Khan , Muhammad Gulistan, Mumtaz Ali,Wathek Chammam Pdf

In the modern world, the computation of vague data is a challenging job. Different theories are presented to deal with such situations. Amongst them, fuzzy set theory and its extensions produced remarkable results. Smarandache extended the theory to a new horizon with the neutrosophic set (NS), which was further extended to interval neutrosophic set (INS).

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

Author : Florentin Smarandache,Xiaohong Zhang,Mumtaz Ali
Publisher : MDPI
Page : 450 pages
File Size : 43,8 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.

New types of Neutrosophic Set/Logic/Probability, Neutrosophic Over-/Under-/Off-Set, Neutrosophic Refined Set, and their Extension to Plithogenic Set/Logic/Probability, with Applications

Author : Florentin Smarandache
Publisher : MDPI
Page : 714 pages
File Size : 52,7 Mb
Release : 2019-11-27
Category : Technology & Engineering
ISBN : 9783039219384

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New types of Neutrosophic Set/Logic/Probability, Neutrosophic Over-/Under-/Off-Set, Neutrosophic Refined Set, and their Extension to Plithogenic Set/Logic/Probability, with Applications by Florentin Smarandache Pdf

This book contains 37 papers by 73 renowned experts from 13 countries around the world, on following topics: neutrosophic set; neutrosophic rings; neutrosophic quadruple rings; idempotents; neutrosophic extended triplet group; hypergroup; semihypergroup; neutrosophic extended triplet group; neutrosophic extended triplet semihypergroup and hypergroup; neutrosophic offset; uninorm; neutrosophic offuninorm and offnorm; neutrosophic offconorm; implicator; prospector; n-person cooperative game; ordinary single-valued neutrosophic (co)topology; ordinary single-valued neutrosophic subspace; α-level; ordinary single-valued neutrosophic neighborhood system; ordinary single-valued neutrosophic base and subbase; fuzzy numbers; neutrosophic numbers; neutrosophic symmetric scenarios; performance indicators; financial assets; neutrosophic extended triplet group; neutrosophic quadruple numbers; refined neutrosophic numbers; refined neutrosophic quadruple numbers; multigranulation neutrosophic rough set; nondual; two universes; multiattribute group decision making; nonstandard analysis; extended nonstandard analysis; monad; binad; left monad closed to the right; right monad closed to the left; pierced binad; unpierced binad; nonstandard neutrosophic mobinad set; neutrosophic topology; nonstandard neutrosophic topology; visual tracking; neutrosophic weight; objectness; weighted multiple instance learning; neutrosophic triangular norms; residuated lattices; representable neutrosophic t-norms; De Morgan neutrosophic triples; neutrosophic residual implications; infinitely ∨-distributive; probabilistic neutrosophic hesitant fuzzy set; decision-making; Choquet integral; e-marketing; Internet of Things; neutrosophic set; multicriteria decision making techniques; uncertainty modeling; neutrosophic goal programming approach; shale gas water management system.

Linguistic neutrosophic power Muirhead mean operators for safety evaluation of mines

Author : Suizhi Luo,Weizhang Liang,Guoyan Zhao
Publisher : Infinite Study
Page : 21 pages
File Size : 55,9 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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Linguistic neutrosophic power Muirhead mean operators for safety evaluation of mines by Suizhi Luo,Weizhang Liang,Guoyan Zhao Pdf

Safety is the fundamental guarantee for the sustainable development of mining enterprises. As the safety evaluation of mines is a complex system engineering project, consistent and inconsistent, even hesitant evaluation information may be contained simultaneously. Linguistic neutrosophic numbers (LNNs), as the extensions of linguistic terms, are effective means to entirely and qualitatively convey such evaluation information with three independent linguistic membership functions. The aim of our work is to investigate several mean operators so that the safety evaluation issues of mines are addressed under linguistic neutrosophic environment.

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

Author : Florentin Smarandache,Yanhui Guo
Publisher : Infinite Study
Page : 411 pages
File Size : 40,8 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.

METHODS FOR SOLVING DECISION-MAKING PROBLEMS UNDER UNCERTAIN ENVIRONMENT

Author : NANCY
Publisher : Infinite Study
Page : 306 pages
File Size : 41,7 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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METHODS FOR SOLVING DECISION-MAKING PROBLEMS UNDER UNCERTAIN ENVIRONMENT by NANCY Pdf

Multiple-criteria decision-making (MCDM) problems are the imperative part of modern decision theory where a set of alternatives has to be assessed against the multiple influential attributes before the best alternative is selected. In a decision-making(DM) process, an important problem is how to express the preference value. Due to the increasing complexity of the socioeconomic environment and the lack of knowledge or the data about the DM problems, it is difficult for the decision maker to give the exact decision as there is always an imprecise, vague or uncertain information.

A novel divergence measure and its based TOPSIS method for multi criteria decision-making under single-valued neutrosophic environment

Author : Nancy,Harish Garg
Publisher : Infinite Study
Page : 15 pages
File Size : 52,7 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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A novel divergence measure and its based TOPSIS method for multi criteria decision-making under single-valued neutrosophic environment by Nancy,Harish Garg Pdf

The theme of this work is to present an axiomatic definition of divergence measure for single-valued neutrosophic sets (SVNSs). The properties of the proposed divergence measure have been studied. Further, we develop a novel technique for order preference by similarity to ideal solution (TOPSIS) method for solving single-valued neutrosophic multi-criteria decision-making with incomplete weight information. Finally, a numerical example is presented to verify the proposed approach and to present its effectiveness and practicality.

Neutrosophic Operational Research

Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Springer Nature
Page : 628 pages
File Size : 49,6 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.

Multi-Aspect Decision-Making Process in Equity Investment Using Neutrosophic Soft Matrices

Author : Chinnadurai Veerappan,Florentin Smarandache,Bobin Albert
Publisher : Infinite Study
Page : 18 pages
File Size : 45,9 Mb
Release : 2024-06-29
Category : Mathematics
ISBN : 8210379456XXX

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Multi-Aspect Decision-Making Process in Equity Investment Using Neutrosophic Soft Matrices by Chinnadurai Veerappan,Florentin Smarandache,Bobin Albert Pdf

Neutrosophic theory alleviates the ambiguity situation more effectively than fuzzy sets. Neutrosophic soft set deals with the combination of truth, indeterminacy and falsity membership. This provides a space for the convention with multi-aspect decision-making (MADM) problems that involve these combinations. The main aim of this paper is to provide a unique ranking for the alternatives to overcome the existing drawbacks in the said environment. Initially, a new score function and the weighted neutrosophic vector are discussed.

Collected Papers. Volume IX

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 1008 pages
File Size : 44,6 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.

Soft Computing and Fuzzy Methodologies in Innovation Management and Sustainability

Author : Ernesto León-Castro,Fabio Blanco-Mesa,Victor Alfaro-García,Anna Maria Gil-Lafuente,José M. Merigó,Janusz Kacprzyk
Publisher : Springer Nature
Page : 385 pages
File Size : 43,6 Mb
Release : 2022-04-11
Category : Technology & Engineering
ISBN : 9783030961503

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Soft Computing and Fuzzy Methodologies in Innovation Management and Sustainability by Ernesto León-Castro,Fabio Blanco-Mesa,Victor Alfaro-García,Anna Maria Gil-Lafuente,José M. Merigó,Janusz Kacprzyk Pdf

This book provides recent research on soft computing and fuzzy methodologies in innovation management and sustainability. The uncertainty in the business world is increasing. Significant changes are generated unexpectedly, so using fuzzy logic and soft computing methods allows us to create flexible scenarios adaptable to new realities. Within the book, we will find different applications of fuzzy methodologies that can apply to various topics such as sustainability, innovation, tourism, costs, exports, systems administration, among others. The book's main contribution is the applicability of the various methodologies to specific cases, which allows generating a relationship between theory and practice. In addition, it has some bibliometric studies on various topics that give us a visualization of what has happened and where multiple topics are headed. This book is recommended mainly for students who wish to know how the various fuzzy and soft computing tools can be taken to real situations, allowing a better understanding of these and generating new visions of future applicability.