2010
DOI: 10.1007/978-3-642-03220-2_1
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Fuzzy Cognitive Maps: Basic Theories and Their Application to Complex Systems

Abstract: Abstract. The challenging problem of modeling and controlling complex systems is investigated using Fuzzy Cognitive Maps (FCMs). A mathematical description of FCM models is presented, new construction methods and an algorithm are developed and extensively examined. The issue of modeling the supervisor of large complex systems is addressed and is modeled using a FCM. A manufacturing example is used to prove the usefulness of the proposed method. The problem of Decision Making process in Decision Analysis is con… Show more

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Cited by 160 publications
(115 citation statements)
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“…Fuzzy causal relations among concepts are generated by consulting the experts or general literature reviews. The fuzziness of these sources stems from the uncertain, complex and dynamic environments and decision factors in it [9,10]. FCM can be shown in a symbolical form with concepts or factors (nodes) and connections or causal relationships (arcs/edges).…”
Section: Fuzzy Cognitive Mapmentioning
confidence: 99%
“…Fuzzy causal relations among concepts are generated by consulting the experts or general literature reviews. The fuzziness of these sources stems from the uncertain, complex and dynamic environments and decision factors in it [9,10]. FCM can be shown in a symbolical form with concepts or factors (nodes) and connections or causal relationships (arcs/edges).…”
Section: Fuzzy Cognitive Mapmentioning
confidence: 99%
“…These synthetic depthdamage functions were developed through a series of expert meetings and a workshop, following the fuzzy cognitive mapping method (Groumpos, 2010;Stach et al, 2010). The process consisted of two rounds.…”
Section: Vulnerabilitymentioning
confidence: 99%
“…Relative weights are used to quantify strengths of causal relationships between the factors (Kosko 1986). The weights of the interconnections can vary in the interval [-1,1], where the maximum and minimum values indicate a complete causal interrelationship among factors (Groumpos 2010). All weights attributed to the relationships can be represented as a matrix; initial values of the factors can be represented by a vector indicating the relative change of all factors, which is initially set at zero (see Kok 2009 for a detailed explanation).…”
Section: Principles Of Fuzzy Cognitive Mappingmentioning
confidence: 99%