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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…

General Mathematics · Mathematics 2007-05-23 Dr. W. B. Vasantha Kandasamy , Florentin Smarandache

Fuzzy Cognitive Maps (FCMs) is a complex systems modeling technique which, due to its unique advantages, has lately risen in popularity. They are based on graphs that represent the causal relationships among the parameters of the system to…

Neural and Evolutionary Computing · Computer Science 2021-02-02 Stefanos Tsimenidis

Fuzzy Cognitive Maps (FCMs) are considered a soft computing technique combining elements of fuzzy logic and recurrent neural networks. They found multiple application in such domains as modeling of system behavior, prediction of time…

Machine Learning · Computer Science 2021-03-16 Piotr Szwed

Numerous learning methods for fuzzy cognitive maps (FCMs), such as the Hebbian-based and the population-based learning methods, have been developed for modeling and simulating dynamic systems. However, these methods are faced with several…

Machine Learning · Computer Science 2019-08-23 Guoliang Feng , Wei Lu , Witold Pedrycz , Jianhua Yang , Xiaodong Liu

While the machine learning literature dedicated to fully automated reasoning algorithms is abundant, the number of methods enabling the inference process on the basis of previously defined knowledge structures is scanter. Fuzzy Cognitive…

Machine Learning · Computer Science 2018-09-24 Gonzalo Nápoles , Frank Vanhoenshoven , Koen Vanhoof

Understanding and modeling collective intelligence is essential for addressing complex social systems. Directed graphs called fuzzy cognitive maps (FCMs) offer a powerful tool for encoding causal mental models, but extracting high-integrity…

This study implements a novel Fuzzy Cognitive Map (FCM) framework for addressing large complex socio-ecological problems. These are characterized as qualitative, dominated by uncertainty, human involvement with different and vague…

Social and Information Networks · Computer Science 2022-08-11 Mamoon Obiedat , Sandhya Samarasinghe

FCMpy is an open source package in Python for building and analyzing Fuzzy Cognitive Maps. More specifically, the package allows 1) deriving fuzzy causal weights from qualitative data, 2) simulating the system behavior, 3) applying machine…

Mathematical Software · Computer Science 2022-11-03 Samvel Mkhitaryan , Philippe J. Giabbanelli , Maciej K. Wozniak , Gonzalo Napoles , Nanne K. de Vries , Rik Crutzen

Fuzzy Cognitive Maps (FCMs) are soft computing technique that follows an approach similar to human reasoning and human decision-making process, making them a valuable modeling and simulation methodology. Medical Decision Systems are complex…

Artificial Intelligence · Computer Science 2021-08-10 Anand M. Shukla , Pooja D. Pandit , Vasudev M. Purandare , Anuradha Srinivasaraghavan

As a combination of various kinds of technologies, autonomous vehicles could complete a series of driving tasks by itself, such as perception, decision-making, planning, and control. Since there is no human driver to handle the emergency…

Machine Learning · Computer Science 2020-07-22 Teng Liu , Bin Tian , Yunfeng Ai , Long Chen , Fei Liu , Dongpu Cao

This article represents one of the contemporary trends in the application of the latest methods of classification in business, where intense competition and the desire to expand drive this science to far-reaching prospects using the…

Computers and Society · Computer Science 2018-02-13 Ismail Kayali

The integration of Fourier transform and deep learning opens new avenues for time series forecasting. We reconsider the Fourier transform from a basis functions perspective. Specifically, the real and imaginary parts of the frequency…

Machine Learning · Computer Science 2025-08-05 Runze Yang , Longbing Cao , Xin You , Kun Fang , Jianxun Li , Jie Yang

Several deep learning (DL) approaches have been proposed to deal with image classification tasks. However, despite their effectiveness, they lack interpretability, as they are unable to explain or justify their results. To address the…

Computer Vision and Pattern Recognition · Computer Science 2025-04-07 Georgia Sovatzidi , Michael D. Vasilakakis , Dimitris K. Iakovidis

In the quest for accurate and interpretable AI models, eXplainable AI (XAI) has become crucial. Fuzzy Cognitive Maps (FCMs) stand out as an advanced XAI method because of their ability to synergistically combine and exploit both expert…

Artificial Intelligence · Computer Science 2024-05-16 Marios Tyrovolas , Nikolaos D. Kallimanis , Chrysostomos Stylios

This essay is about a neural implementation of the fuzzy cognitive map, the FHM, and corresponding evaluations. Firstly, a neural net has been designed to behave the same way that an FCM does; as inputs it accepts many fuzzy cognitive maps…

Neural and Evolutionary Computing · Computer Science 2026-03-09 Alexis Kafantaris

In tis paper we consider approaches for time series forecasting based on deep neural networks and neuro-fuzzy nets. Also, we make short review of researches in forecasting based on various models of ANFIS models. Deep Learning has proven to…

Neural and Evolutionary Computing · Computer Science 2020-11-12 Alexey Averkin , Sergey Yarushev

In recent years, the application of Large Language Models (LLMs) to time series forecasting (TSF) has garnered significant attention among researchers. This study presents a new frame of LLMs named CGF-LLM using GPT-2 combined with fuzzy…

Fuzzy time series forecasting (FTSF) is a typical forecasting method with wide application. Traditional FTSF is regarded as an expert system which leads to loss of the ability to recognize undefined features. The mentioned is the main…

Machine Learning · Computer Science 2023-08-29 Tianxiang Zhan , Yuanpeng He , Yong Deng , Zhen Li

In the complex landscape of multivariate time series forecasting, achieving both accuracy and interpretability remains a significant challenge. This paper introduces the Fuzzy Transformer (Fuzzformer), a novel recurrent neural network…

Artificial Intelligence · Computer Science 2025-10-02 Miha Ožbot , Igor Škrjanc , Vitomir Štruc

This paper deals with the problem of forecast the Logistic Chaotic Map using Fuzzy Times Series (FTS). Chaotic Systems are very sensible to changes in its parameters and in the initial conditions, turning them into hard systems to model and…

Dynamical Systems · Mathematics 2021-03-16 Lucas Vinícius Ribeiro Alves
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