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In this study, a new static analysis approach is proposed for enhanced Fuzzy Cognitive Maps (FCMs), which have non-singleton fuzzy numbers in casual relation strength representation. Cognitive Maps (CMs) are proposed as a type of directed graph that offers a means to model interrelationships or causalities among concepts, and have a clear way to visually represent them. They graphically describe a...
In this study, Fuzzy Cognitive Maps (FCMs), which are powerful tools for graphical representation of knowledge, are analyzed from an ambiguity and fuzziness perspective. In conventional FCMs the causal strengths are represented with singleton (crisp) fuzzy numbers, but recently, other researchers proposed different FCM structures where uniform (interval) or triangular fuzzy numbers are used in causal...
This paper introduces an enhancement to linguistic forecast representation using Triangular Fuzzy Numbers (TFNs) called Enhanced Linguistic Generation and Representation Approach (ElinGRA). Since there is always an error margin in the predictions, there is a need to define error bounds in the forecast. The interval of the proposed presentation is generated from a Fuzzy logic based Lower and Upper...
In this paper, learning of the FCMs represented using triangular fuzzy numbers (TFNs) in their weight matrices is studied. For this aim a population based novel learning approach is proposed. In the proposed algorithm, BB-BC optimization method is preferred because of its fast convergence capability. Moreover, this proposed approach involves concept by concept (CbC) learning to increase the accuracy...
In this paper, we will present analytical derivations of the simplest the Interval Type-2 Fuzzy PID (IT2-FPID) controller output which is composed of only 4 rules. Thus, we will first propose a new visualizing method called Surface of the Switching Points (S-MAP) in order to better analyze the derivation of the Switching Points (SPs) of the Karnik-Mendel algorithms. We presented mathematical explanation...
In this paper, the conventional Fuzzy Cognitive Maps (FCMs), which has already achieved success in many fields, are extended by using triangular fuzzy numbers (TFNs). The advantage of FCMs is that they are relatively easy to construct and parameterize and are capable of handling the full range of system feedback structure, including density-dependent effects. However, it is a well-known fact that...
In this study, a further extension of the vehicle routing problem with pickup and delivery (VRPPD) is considered. The VRPPD problem is seen in many practical applications as logistic, distribution and transportation. However, a formal definition of the VRPPD cannot fully represent the real-life daily macro routing problem. For this reason, firstly, a new model of the very close to real-life problem...
This paper represents the practical use of Fuzzy Cognitive Maps (FCMs) in order to model the control engineering educational critical success factors. FCMs are fuzzy signed digraphs with feedbacks, and they can model the events, values, goals as a collection of concepts by forging a causal link between these concepts. In this study, the concepts of the FCM model is developed by the help of the academics,...
Most of the dynamic systems are hard to express in mathematical models due to their complex, nonlinear and uncertain characteristics. Thus, advanced methodologies are needed, using human experience, present expert knowledge and historical data. Hence fuzzy cognitive maps are quite convenient, simple, powerful and practical tools for simulation and analysis of these kinds of dynamic systems. Yet, human...
In this study, a new learning method called Big Bang-Big Crunch (BB-BC) is proposed for Fuzzy Cognitive Map (FCM), which is an approach to knowledge representation and inference. FCMs are basically fuzzy signed directed graphs with feedbacks, and they model the world as a collection of concepts and causal relations between concepts. Till now, little research has been done on the goal-oriented analysis...
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