Mod Cognitive Maps Models And Mod Natural Neutrosophic Cognitive Maps Models

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MOD Cognitive Maps Models and MOD Natural Neutrosophic Cognitive Maps Models

W. B. Vasantha Kandasamy, Ilanthenral K.,Florentin Smarandache
MOD Cognitive Maps Models and MOD Natural Neutrosophic Cognitive Maps Models Book PDF

Author : W. B. Vasantha Kandasamy, Ilanthenral K.,Florentin Smarandache
Publisher : Infinite Study
Page : 128 pages
File Size : 45,6 Mb
Release : 2024-06-11
Category : Electronic
ISBN : 9781599734620

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MOD Cognitive Maps Models and MOD Natural Neutrosophic Cognitive Maps Models by W. B. Vasantha Kandasamy, Ilanthenral K.,Florentin Smarandache Pdf

In this book authors for the first time introduce new mathematical models analogous to Fuzzy Cognitive Maps (FCMs) and Neutrosophic Cognitive Maps (NCMs) models. Several types of MOD Cognitive Maps models are constructed in this book. They are MOD Cognitive Maps model, MOD dual number Cognitive Maps model, MOD neutrosophic Cognitive Maps model, MOD finite complex number Cognitive Maps model, MOD special dual like number Cognitive Maps model, and MOD special quasi dual number Cognitive Maps model.

MOD Relational Maps Models and MOD Natural Neutrosophic Relational Maps Models

W. B. Vasantha Kandasamy,Ilanthenral K.,Florentin Smarandache
MOD Relational Maps Models and MOD Natural Neutrosophic Relational Maps Models Book PDF

Author : W. B. Vasantha Kandasamy,Ilanthenral K.,Florentin Smarandache
Publisher : Infinite Study
Page : 128 pages
File Size : 42,7 Mb
Release : 2024-06-11
Category : Electronic
ISBN : 9781599734637

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MOD Relational Maps Models and MOD Natural Neutrosophic Relational Maps Models by W. B. Vasantha Kandasamy,Ilanthenral K.,Florentin Smarandache Pdf

In this book the authors for the first time construct MOD Relational Maps model analogous to Fuzzy Relational Maps (FRMs) model or Neutrosophic Relational Maps (NRMs) model using the MOD rectangular or relational matrix. The advantage of using these models is that the MOD fixed point pair or MOD limit cycle pair is obtained after a finite number of iterations.

MOD Natural Neutrosophic Subset Semigroups

W. B. Vasantha Kandasamy ,Ilanthenral K,Florentin Smarandache
MOD Natural Neutrosophic Subset Semigroups Book PDF

Author : W. B. Vasantha Kandasamy ,Ilanthenral K,Florentin Smarandache
Publisher : Infinite Study
Page : 128 pages
File Size : 41,5 Mb
Release : 2024-06-11
Category : Electronic
ISBN : 9781599734859

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MOD Natural Neutrosophic Subset Semigroups by W. B. Vasantha Kandasamy ,Ilanthenral K,Florentin Smarandache Pdf

In this book the authors introduce for the first time the MOD Natural Subset Semigroups. They enjoy very many special properties. They are only semigroups even under addition. This book provides several open problems to the semigroup theorists

MOD Natural Neutrosophic Subset Topological Spaces and Kakutani’s Theorem

W. B. Vasantha Kandasamy,K. Ilanthenral,Florentin Smarandche
MOD Natural Neutrosophic Subset Topological Spaces and Kakutani s Theorem Book PDF

Author : W. B. Vasantha Kandasamy,K. Ilanthenral,Florentin Smarandche
Publisher : Infinite Study
Page : 128 pages
File Size : 40,8 Mb
Release : 2024-06-11
Category : Electronic
ISBN : 9781599734903

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MOD Natural Neutrosophic Subset Topological Spaces and Kakutani’s Theorem by W. B. Vasantha Kandasamy,K. Ilanthenral,Florentin Smarandche Pdf

In this book authors for the first time develop the notion of MOD natural neutrosophic subset special type of topological spaces using MOD natural neutrosophic dual numbers or MOD natural neutrosophic finite complex number or MOD natural neutrosophic-neutrosophic numbers and so on to build their respective MOD semigroups. Later they extend this concept to MOD interval subset semigroups and MOD interval neutrosophic subset semigroups. Using these MOD interval semigroups and MOD interval natural neutrosophic subset semigroups special type of subset topological spaces are built. Further using these MOD subsets we build MOD interval subset matrix semigroups and MOD interval subset matrix special type of matrix topological spaces. Likewise using MOD interval natural neutrosophic subsets matrices semigroups we can build MOD interval natural neutrosophic matrix subset special type of topological spaces. We also do build MOD subset coefficient polynomial special type of topological spaces. The final chapter mainly proposes several open conjectures about the validity of the Kakutani’s fixed point theorem for all MOD special type of subset topological spaces.

MOD Graphs

W. B. Vasantha Kandasamy,Ilanthenral K,Florentin Smarandache
MOD Graphs Book PDF

Author : W. B. Vasantha Kandasamy,Ilanthenral K,Florentin Smarandache
Publisher : Infinite Study
Page : 128 pages
File Size : 50,5 Mb
Release : 2024-06-11
Category : Electronic
ISBN : 9781599734699

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MOD Graphs by W. B. Vasantha Kandasamy,Ilanthenral K,Florentin Smarandache Pdf

In this book the authors for the first time introduce, study and develop the notion of MOD graphs, MOD directed graphs, MOD finite complex number graphs, MOD neutrosophic graphs, MOD dual number graphs, and MOD directed natural neutrosophic graphs. There are open conjectures that can help researchers in the graph theory.

Mod Rectangular Natural Neutrosophic Numbers

W. B. Vasantha Kandasamy,Ilanthenral K,Florentin Smarandache
Mod Rectangular Natural Neutrosophic Numbers Book PDF

Author : W. B. Vasantha Kandasamy,Ilanthenral K,Florentin Smarandache
Publisher : Infinite Study
Page : 263 pages
File Size : 40,5 Mb
Release : 2024-06-11
Category : Electronic
ISBN : 8210379456XXX

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Mod Rectangular Natural Neutrosophic Numbers by W. B. Vasantha Kandasamy,Ilanthenral K,Florentin Smarandache Pdf

In this book authors introduce the new notion of MOD rectangular planes. The functions on them behave very differently when compared to MOD planes (square). These are different from the usual MOD planes. Algebraic structures on these MOD rectangular planes are defined and developed.

The Encyclopedia of Neutrosophic Researchers, Vol. I

Florentin Smarandache
The Encyclopedia of Neutrosophic Researchers Vol I Book PDF

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 232 pages
File Size : 51,8 Mb
Release : 2016-11-12
Category : Mathematics
ISBN : 9781599734682

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The Encyclopedia of Neutrosophic Researchers, Vol. I by Florentin Smarandache Pdf

This is the first volume of the Encyclopedia of Neutrosophic Researchers, edited from materials offered by the authors who responded to the editor’s invitation. The 78 authors are listed alphabetically. The introduction contains a short history of neutrosophics, together with links to the main papers and books. Neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus and so on are gaining significant attention in solving many real life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistent, and indeterminacy. In the past years the fields of neutrosophics have been extended and applied in various fields, such as: artificial intelligence, data mining, soft computing, decision making in incomplete / indeterminate / inconsistent information systems, image processing, computational modelling, robotics, medical diagnosis, biomedical engineering, investment problems, economic forecasting, social science, humanistic and practical achievements.

Neutrosophic Triplet Groups and their Applications to Mathematical Modelling

W. B. Vasantha Kandasamy,Ilanthenral K,Florentin Smarandache
Neutrosophic Triplet Groups and their Applications to Mathematical Modelling Book PDF

Author : W. B. Vasantha Kandasamy,Ilanthenral K,Florentin Smarandache
Publisher : Infinite Study
Page : 266 pages
File Size : 44,7 Mb
Release : 2024-06-11
Category : Electronic
ISBN : 9781599735337

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Neutrosophic Triplet Groups and their Applications to Mathematical Modelling by W. B. Vasantha Kandasamy,Ilanthenral K,Florentin Smarandache Pdf

In this book we define new operations mainly to construct mathematical models akin to Fuzzy Cognitive Maps (FCMs) model, Neutrosophic Cognitive Maps (NCMs) model and Fuzzy Relational Maps (FRMs) model. These new models are defined in chapter four of this book. These new models can find applications in discrete Artificial Neural Networks, soft computing, and social network analysis whenever the concept of indeterminate is involved.

Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps

W. B. Vasantha Kandasamy,Florentin Smarandache
Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps Book PDF

Author : W. B. Vasantha Kandasamy,Florentin Smarandache
Publisher : Infinite Study
Page : 213 pages
File Size : 49,6 Mb
Release : 2003-01-01
Category : Mathematics
ISBN : 9781931233767

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Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps by W. B. Vasantha Kandasamy,Florentin Smarandache Pdf

In a world of chaotic alignments, traditional logic with its strict boundaries of truth and falsity has not imbued itself with the capability of reflecting the reality. Despite various attempts to reorient logic, there has remained an essential need for an alternative system that could infuse into itself a representation of the real world. Out of this need arose the system of Neutrosophy (the philosophy of neutralities, introduced by FLORENTIN SMARANDACHE), and its connected logic Neutrosophic Logic, which is a further generalization of the theory of Fuzzy Logic. In this book we study the concepts of Fuzzy Cognitive Maps (FCMs) and their Neutrosophic analogue, the Neutrosophic Cognitive Maps (NCMs). Fuzzy Cognitive Maps are fuzzy structures that strongly resemble neural networks, and they have powerful and far-reaching consequences as a mathematical tool for modeling complex systems. Neutrosophic Cognitive Maps are generalizations of FCMs, and their unique feature is the ability to handle indeterminacy in relations between two concepts thereby bringing greater sensitivity into the results. Some of the varied applications of FCMs and NCMs which has been explained by us, in this book, include: modeling of supervisory systems; design of hybrid models for complex systems; mobile robots and in intimate technology such as office plants; analysis of business performance assessment; formalism debate and legal rules; creating metabolic and regulatory network models; traffic and transportation problems; medical diagnostics; simulation of strategic planning process in intelligent systems; specific language impairment; web-mining inference application; child labor problem; industrial relations: between employer and employee, maximizing production and profit; decision support in intelligent intrusion detection system; hyper-knowledge representation in strategy formation; female infanticide; depression in terminally ill patients and finally, in the theory of community mobilization and women empowerment relative to the AIDS epidemic.

A New Neutrosophic Cognitive Map with Neutrosophic Sets on Connections, Application in Project Management

Salah Hasan Saleh Al-Subhi,Iliana Pérez Pupo,Roberto García Vacacela,Pedro Y. Piñero Pérez,Maikel Y Leyva Vázquez
A New Neutrosophic Cognitive Map with Neutrosophic Sets on Connections Application in Project Management Book PDF

Author : Salah Hasan Saleh Al-Subhi,Iliana Pérez Pupo,Roberto García Vacacela,Pedro Y. Piñero Pérez,Maikel Y Leyva Vázquez
Publisher : Infinite Study
Page : 13 pages
File Size : 54,9 Mb
Release : 2024-06-11
Category : Mathematics
ISBN : 8210379456XXX

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A New Neutrosophic Cognitive Map with Neutrosophic Sets on Connections, Application in Project Management by Salah Hasan Saleh Al-Subhi,Iliana Pérez Pupo,Roberto García Vacacela,Pedro Y. Piñero Pérez,Maikel Y Leyva Vázquez Pdf

This paper suggests a new decision-making model based on Neutrosophic Cognitive Maps (NCMs) for making comprehensive decisions from a multi-objective approach (diagnosis, decisions, and prediction) during the execution of many projects simultaneously.

Plithogenic Cognitive Maps in Decision Making

Nivetha Martin ,Florentin Smarandache
Plithogenic Cognitive Maps in Decision Making Book PDF

Author : Nivetha Martin ,Florentin Smarandache
Publisher : Infinite Study
Page : 13 pages
File Size : 52,9 Mb
Release : 2024-06-11
Category : Mathematics
ISBN : 8210379456XXX

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Plithogenic Cognitive Maps in Decision Making by Nivetha Martin ,Florentin Smarandache Pdf

Plithogenic sets introduced by Smarandache (2018) have disclosed new research vistas and this paper introduces the novel concept of plithogenic cognitive maps (PCM) and its applications in decision making. The new approach of defining instantaneous state neutrosophic vector with the confinement of indeterminacy to (0,1] is proposed to quantify the degree of indeterminacy.

Natural Neutrosophic Numbers and MOD Neutrosophic Numbers

W. B. Vasantha Kandasamy,K. Ilanthenral,Florentin Smarandache
Natural Neutrosophic Numbers and MOD Neutrosophic Numbers Book PDF

Author : W. B. Vasantha Kandasamy,K. Ilanthenral,Florentin Smarandache
Publisher : Infinite Study
Page : 185 pages
File Size : 53,6 Mb
Release : 2015
Category : Neutrosophic logic
ISBN : 9781599733661

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Natural Neutrosophic Numbers and MOD Neutrosophic Numbers by W. B. Vasantha Kandasamy,K. Ilanthenral,Florentin Smarandache Pdf

The authors in this book introduce a new class of natural neutrsophic numbers using MOD intervals. These natural MOD neutrosophic numbers behave in a different way for the product of two natural neutrosophic numbers can be neutrosophic zero divisors or idempotents or nilpotents. Several open problems are suggested in this book.

Induced Plithogenic Cognitive Maps with Combined Connection Matrix to investigate the glitches of online learning system

R. Priya,Nivetha Martin
Induced Plithogenic Cognitive Maps with Combined Connection Matrix to investigate the glitches of online learning system Book PDF

Author : R. Priya,Nivetha Martin
Publisher : Infinite Study
Page : 20 pages
File Size : 47,8 Mb
Release : 2021-06-21
Category : Mathematics
ISBN : 8210379456XXX

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Induced Plithogenic Cognitive Maps with Combined Connection Matrix to investigate the glitches of online learning system by R. Priya,Nivetha Martin Pdf

Plithogenic Cognitive Maps (PCM) introduced by Nivetha and Smarandache are extensively applied in decision making. This research work extends PCM to Induced PCM by introducing the concept of combined connection matrix (CCM). The proposed induced PCM decision making model with CCM is applied to examine the glitches of online learning system. It was observed that expert’s opinion on the associational impact between the factors considered for study in the form combined connection matrix is more advantageous on comparison with conventional connection matrix representation, as CCM is a mixture of crisp/fuzzy/intuitionistic/neutrosophic representations. The proposed model will certainly facilitate the decision makers in designing optimal solutions to the real time problems and it shall be extended based on the needs of the decision makers and employed in various other decision making environment. The shortcomings of the model are also discussed in brief.

NCMPy: A Modelling Software for Neutrosophic Cognitive Maps based on Python Package

Ilanthenral Kandasamy,Divakar Arumugam,Aryan Rathore,Ateeth Arun,Manan Jain,Vasantha W.B.,Florentin Smarandache
NCMPy A Modelling Software for Neutrosophic Cognitive Maps based on Python Package Book PDF

Author : Ilanthenral Kandasamy,Divakar Arumugam,Aryan Rathore,Ateeth Arun,Manan Jain,Vasantha W.B.,Florentin Smarandache
Publisher : Infinite Study
Page : 22 pages
File Size : 46,9 Mb
Release : 2024-06-11
Category : Computers
ISBN : 8210379456XXX

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NCMPy: A Modelling Software for Neutrosophic Cognitive Maps based on Python Package by Ilanthenral Kandasamy,Divakar Arumugam,Aryan Rathore,Ateeth Arun,Manan Jain,Vasantha W.B.,Florentin Smarandache Pdf

Cognitive Maps are a vital tool that can be used for knowledge representation and reasoning. Fuzzy Cognitive Maps (FCMs) are popular soft computing techniques used to model large and complex systems, and they can aid in explainable AI. FCMs, however, cannot model the indeterminacy that arises in a system due to various uncertainties. Neutrosophic Cognitive Maps (NCMs), upgraded FCMs that could model indeterminacy, was introduced to address this issue. NCMs are a generalization of FCMs, a field of cognitive science firmly based on neural networks. NCMs have been used to solve a wide range of problems. NCMs were introduced in 2002, and even after 20 years, NCMs do not have any supportive software or package, toolbox, or visualization software like FCMs. The main reason for the absence of dedicated software is due to the indeterminacy concept ‘I’ and how it has to be handled. This paper presents the dedicated Python package created for handling the functioning of NCMs. The modelling software presented in this paper aids in visualizing the NCMs as a signed digraph with indeterminacy that is directed signed neutrosophic graph. This package implements a sample case study using NCMs.

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

Florentin Smarandache
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 Book PDF

Author : Florentin Smarandache
Publisher : MDPI
Page : 714 pages
File Size : 51,8 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.