Fuzzy Cognitive Maps And Neutrosophic Cognitive Maps

Author : W. B. Vasantha Kandasamy,Florentin Smarandache
Publisher : Infinite Study
Page : 213 pages
File Size : 51,6 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.

Author : W. B. Vasantha Kandasamy
Publisher : Unknown
Page : 213 pages
File Size : 43,6 Mb
Release : 2014-05-14
Category : MATHEMATICS
ISBN : 1461912253

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Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps by W. B. Vasantha Kandasamy 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 : 43,5 Mb
Release : 2024-05-19
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.

Author : Jesús Estupiñán Ricardo,Diego Fernando Coka Flores,Jorge Alfredo Eras Díaz,Karina Pérez Teruel
Publisher : Infinite Study
Page : 8 pages
File Size : 45,5 Mb
Release : 2020-11-01
Category : Mathematics
ISBN : 8210379456XXX

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An Exploration of Wisdom of Crowds using Neutrosophic Cognitive Maps by Jesús Estupiñán Ricardo,Diego Fernando Coka Flores,Jorge Alfredo Eras Díaz,Karina Pérez Teruel Pdf

The wisdom of crowds (WOC) is a theory where it is believed that a multitude of people, unknown to each other and not experts in some subject, can reach more accurate conclusions on this subject than each of them would achieve individually; it could even have more accuracy than the result that a group of experts would obtain. This theory can be used to obtain information from the individual knowledge of an inexperienced crowd, including knowledge on complex phenomena. In this paper, the complex phenomenon is represented with the help of Neutrosophic Cognitive Maps (NCM), which allow us to capture the cause-effect relations among the concepts according to each of the individuals’ judgments. In this case, a dynamic processing of the results is carried out. The NCMs are aggregated following the WOC principles using an aggregation algorithm, which is based on the Fuzzy Negative-Positive-Neutral (NPN) logic. The advantage of using NCM is that indeterminacy is included in the modeling, thus individuals can express their opinions more reliably.

Author : Nivetha Martin ,Florentin Smarandache
Publisher : Infinite Study
Page : 13 pages
File Size : 43,6 Mb
Release : 2024-05-19
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.

Author : Hojjatollah Farahani,Florentin Smarandache,Lihshing Leigh Wang
Publisher : Infinite Study
Page : 15 pages
File Size : 50,6 Mb
Release : 2024-05-19
Category : Electronic
ISBN : 8210379456XXX

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A Comparison of Combined Overlap Block Fuzzy Cognitive Maps (COBFCM) and Combined Overlap Block Neutrosophic Cognitive Map (COBNCM) in finding the hidden patterns and indeterminacies in Psychological Causal Models: Case Study of ADHD by Hojjatollah Farahani,Florentin Smarandache,Lihshing Leigh Wang Pdf

In spite of researchers’ concerns to find causalities, reviewing the literature of psychological studies one may argue that the classical statistical methods applied in order to find causalities are unable to find uncertainty and indeterminacies of the relationships between concepts.

Author : W. B. Vasantha Kandasamy, Ilanthenral K.,Florentin Smarandache
Publisher : Infinite Study
Page : 128 pages
File Size : 45,6 Mb
Release : 2024-05-19
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.

Author : Michael Glykas
Publisher : Springer Science & Business Media
Page : 436 pages
File Size : 55,8 Mb
Release : 2010-07-07
Category : Mathematics
ISBN : 9783642032196

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Fuzzy Cognitive Maps by Michael Glykas Pdf

This important edited volume is the first such book ever published on fuzzy cognitive maps (FCMs). Professor Michael Glykas has done an exceptional job in bringing together and editing its seventeen chapters. The volume appears nearly a quarter century after my original article “Fuzzy Cognitive Maps” appeared in the International Journal of Man-Machine Studies in 1986. The volume accordingly reflects many years of research effort in the development of FCM theory and applications—and portends many more decades of FCM research and applications to come. FCMs are fuzzy feedback models of causality. They combine aspects of fuzzy logic, neural networks, semantic networks, expert systems, and nonlinear dynamical systems. That rich structure endows FCMs with their own complexity and lets them apply to a wide range of problems in engineering and in the soft and hard sciences. Their partial edge connections allow a user to directly represent causality as a matter of degree and to learn new edge strengths from training data. Their directed graph structure allows forward or what-if inferencing. FCM cycles or feedback paths allow for complex nonlinear dynamics. Control of FCM nonlinear dynamics can in many cases let the user encode and decode concept patterns as fixed-point attractors or limit cycles or perhaps as more exotic dynamical equilibria. These global equilibrium patterns are often “hidden” in the nonlinear dynamics. The user will not likely see these global patterns by simply inspecting the local causal edges or nodes of large FCMs.

Author : Nivetha Martin,R. Priya,Florentin Smarandache
Publisher : Infinite Study
Page : 15 pages
File Size : 43,5 Mb
Release : 2021-07-01
Category : Mathematics
ISBN : 8210379456XXX

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New Plithogenic Sub Cognitive Maps Approach with Mediating Effects of Factors in COVID-19 Diagnostic Model by Nivetha Martin,R. Priya,Florentin Smarandache Pdf

This paper introduces the new concept of Plithogenic sub cognitive maps including the mediating effects of the factors.

Author : Janusz Kacprzyk
Publisher : Unknown
Page : 448 pages
File Size : 45,7 Mb
Release : 2010-09-10
Category : Electronic
ISBN : 3642032214

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Fuzzy Cognitive Maps by Janusz Kacprzyk Pdf

Author : Sujatha Ramalingam,Kuppuswami Govindan,W.B. Vasantha Kandasamy,Said Broumi
Publisher : Infinite Study
Page : 11 pages
File Size : 55,7 Mb
Release : 2024-05-19
Category : Mathematics
ISBN : 8210379456XXX

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An Approach for Study of Traffic Congestion Problem Using Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps - the Case of Indian Traffic by Sujatha Ramalingam,Kuppuswami Govindan,W.B. Vasantha Kandasamy,Said Broumi Pdf

The aim of this paper is to find the reasons for traffic congestion problem and its solution using Neutrosophic Cognitive Maps (NCMs) and Fuzzy Cognitive Maps (FCMs).

Author : R. Priya,Nivetha Martin
Publisher : Infinite Study
Page : 20 pages
File Size : 51,7 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.

Author : Michael Glykas
Publisher : Springer
Page : 0 pages
File Size : 42,7 Mb
Release : 2010-07-07
Category : Mathematics
ISBN : 3642032192

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Fuzzy Cognitive Maps by Michael Glykas Pdf

This important edited volume is the first such book ever published on fuzzy cognitive maps (FCMs). Professor Michael Glykas has done an exceptional job in bringing together and editing its seventeen chapters. The volume appears nearly a quarter century after my original article “Fuzzy Cognitive Maps” appeared in the International Journal of Man-Machine Studies in 1986. The volume accordingly reflects many years of research effort in the development of FCM theory and applications—and portends many more decades of FCM research and applications to come. FCMs are fuzzy feedback models of causality. They combine aspects of fuzzy logic, neural networks, semantic networks, expert systems, and nonlinear dynamical systems. That rich structure endows FCMs with their own complexity and lets them apply to a wide range of problems in engineering and in the soft and hard sciences. Their partial edge connections allow a user to directly represent causality as a matter of degree and to learn new edge strengths from training data. Their directed graph structure allows forward or what-if inferencing. FCM cycles or feedback paths allow for complex nonlinear dynamics. Control of FCM nonlinear dynamics can in many cases let the user encode and decode concept patterns as fixed-point attractors or limit cycles or perhaps as more exotic dynamical equilibria. These global equilibrium patterns are often “hidden” in the nonlinear dynamics. The user will not likely see these global patterns by simply inspecting the local causal edges or nodes of large FCMs.

Author : Ilanthenral Kandasamy,Divakar Arumugam,Aryan Rathore,Ateeth Arun,Manan Jain,Vasantha W.B.,Florentin Smarandache
Publisher : Infinite Study
Page : 22 pages
File Size : 42,6 Mb
Release : 2024-05-19
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.

Author : Sergey Gorbachev
Publisher : Infinite Study
Page : 9 pages
File Size : 51,8 Mb
Release : 2024-05-19
Category : Mathematics
ISBN : 8210379456XXX

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INTELLECTUAL MULTI-LEVEL SYSTEM FOR NEURO-FUZZY AND COGNITIVE ANALYSIS AND FORECAST OF SCIENTIFIC-TECHNOLOGICAL AND INNOVATIVE DEVELOPMENT by Sergey Gorbachev Pdf

The article is devoted to description of structure and operation algorithms of a multilevel intellectual system for analysis and forecast of scientific-technological and innovative development of objects and territories based on expert methods, trainable models of fuzzy logic and fuzzy cognitive analysis. The article analyses distinctions and advantages of the system in making forecast evaluation and scenarios of the dynamics of multidimensional feature objects and processes. The authors have built a neutrosophic cognitive map for interaction of technologies based on the results of foresight studies.