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1 – 10 of 14This paper deals with a defuzzification technique for dynamic models formulated with linguistic variables. The theorem of representation is applied in order to obtain a family of…
Abstract
This paper deals with a defuzzification technique for dynamic models formulated with linguistic variables. The theorem of representation is applied in order to obtain a family of crisp models. This technique is particularly suitable for dynamic linear programming models, where the coefficients are fuzzy sets or fuzzy numbers.
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Affinities and shared ideas may be found at the foundations of both fuzzy set theory and the western philosophical movement commonly referred to as Postmodernism. The interest in…
Abstract
Affinities and shared ideas may be found at the foundations of both fuzzy set theory and the western philosophical movement commonly referred to as Postmodernism. The interest in highlighting these affinities is driven by the fact that the ideas and beliefs that are questioned by both these movements are exactly those which stand (or used to stand) as foundations of both western philosophy and science, and have their roots in an Aristotelian view of the world. By direct comparison between concepts drawn from passages of the main philosophers of the Postmodern movement and fundamentals of fuzzy set theory, parallelisms and commonalities are brought to the surface.
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To consider aspects of a theory of systemic construction by discussing two concepts which will assist in our understanding of the surrounding world which it is considered is made…
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Purpose
To consider aspects of a theory of systemic construction by discussing two concepts which will assist in our understanding of the surrounding world which it is considered is made of both systemic and non‐systemic entities.
Design/methodology/approach
Considers how these entities (metasystem, network, transitron etc.) can be conceived and defined. Systemic frames notions are presented and examples of systems given. Discusses the historic use of the word “system” and systemic thinking and its varieties.
Findings
Discovered that on the basis of these concepts, an understanding of the surrounding world can be achieved which is not homogeneous but made of both systemic and non‐systemic entities. These can change when certain systemic properties are reached as well as in their specific degrees in their limitations and paradoxes.
Originality/value
Introduces an original approach to the life support system by proposing concepts that are discussed and defined and that will provide cyberneticians and systemists with a revised view of systemic thinking.
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Considers and defends the realist understanding of the notion of fuzzy system, that is, the view that fuzzy functions are ontologically respectable for scientific explanations of…
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Considers and defends the realist understanding of the notion of fuzzy system, that is, the view that fuzzy functions are ontologically respectable for scientific explanations of fuzzy controllers. Looks at the arguments concerned with the revival of fuzzy set theories based on the idea of representation.
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Provides a personal view of the development of the theories and applications of fuzzy systems which were first introduced in the 1960s. Details the interrelationships between the…
Abstract
Provides a personal view of the development of the theories and applications of fuzzy systems which were first introduced in the 1960s. Details the interrelationships between the pioneering proponents of fuzzy theory. Concentrates in part I on the historical beginnings of the field and in part II continues to provide personal insights into contemporary studies.
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Any fuzzy system is a knowledge‐based system which implies an inference engine. Proposes neural networks as a means of performing the inference. Using the Theorem of…
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Any fuzzy system is a knowledge‐based system which implies an inference engine. Proposes neural networks as a means of performing the inference. Using the Theorem of Representation proposes an encoding scheme that allows the neural network to be trained to perform modus ponens.
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Investigates some major instances of feedback and pullback in structured programming, expert systems, neural networks, and fuzzy systems. Provides details of particular cases to…
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Investigates some major instances of feedback and pullback in structured programming, expert systems, neural networks, and fuzzy systems. Provides details of particular cases to illustrate investigations, including construction of a knowledge‐base and the mechanism of pullback, by a fuzzy system.
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Provides a personal view of the development of the theories and applications of fuzzy systems which were first introduced in the 1960s. Details the interrelationships between the…
Abstract
Provides a personal view of the development of the theories and applications of fuzzy systems which were first introduced in the 1960s. Details the interrelationships between the pioneering proponents of fuzzy theory. Concentrates in part I on the historical beginnings of the field and in part II continues to provide personal insights into contemporary studies.
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Gabriel Burstein and Constantin Virgil Negoita
This paper seeks to lay the computational and mathematical foundations for a “postmodern cybernetics” based on ancient Kabbalah. This new Kabbalistic cybernetics is introduced to…
Abstract
Purpose
This paper seeks to lay the computational and mathematical foundations for a “postmodern cybernetics” based on ancient Kabbalah. This new Kabbalistic cybernetics is introduced to act as an unifying science addressing simultaneously, in a common language and framework the triple nature of human, psychological, social, economic, financial, political, cultural systems and their present multi‐faceted crises and conflicts: cognitive objective level of attaining knowledge; subjective emotional level and physical action and behavioral level.
Design/methodology/approach
Feedback, hierarchical control and other system and control theoretic features in the Tree of Life (TL) of Kabbalah were identified. These were used to develop a general system theoretic framework of a new type to address human and societal system dynamics, evolution, interaction and feedback control by simultaneously taking into account their triple nature.
Findings
The postmodern cybernetics of the TL introduced here as a general system framework, exhibits feedback control with internal model principle, hierarchical control, system multi‐valued logic, category theory pullback and pushout mechanisms, advanced knowledge engineering to aggregate, learn, evolve and solve problems and crises in an integrated way.
Practical implications
“Kabbalistic postmodern cybernetics” proposed here for human and societal systems is the unified scientific framework to solve problems that led to or are just related to economic, financial, political, cultural, societal and human crises and conflicts by addressing their triple intertwined human nature.
Originality/value
Computational foundations for a postmodern cybernetics based on Kabbalah are introduced, where the cognitive, emotional and behavioral and physical action facets of human systems are dealt with in a unified integrated framework to address global problems and crises.
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