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Systems 2014, 2(4), 590-605; doi:10.3390/systems2040590

Postmodern Fuzzy System Theory: A Deconstruction Approach Based on Kabbalah

1
Department of Computer Science, Hunter College, City University of New York (CUNY), New York, NY 10065, USA
2
JH Foundation, Brooklyn, NY 11204, USA
*
Author to whom correspondence should be addressed.
Received: 20 August 2014 / Revised: 21 October 2014 / Accepted: 29 October 2014 / Published: 4 November 2014
(This article belongs to the Special Issue Towards a Second Generation General System Theory)
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Abstract

Modern general system theory proposed a holistic integrative approach based on input-state-output dynamics as opposed to the traditional reductionist detail based approach. Information complexity and uncertainty required a fuzzy system theory, based on fuzzy sets and fuzzy logic. While successful in dealing with analysis, synthesis and control of technical engineering systems, general system theory and fuzzy system theory could not fully deal with humanistic and human-like intelligent systems which combine technical engineering components with human or human-like components characterized by their cognitive, emotional/motivational and behavioral/action levels of operation. Such humanistic systems are essential in artificial intelligence, cognitive and behavioral science applications, organization management and social systems, man-machine systems or human factor systems, behavioral knowledge based economics and finance applications. We are introducing here a “postmodern fuzzy system theory” for controlled state dynamics and output fuzzy systems and fuzzy rule based systems using our earlier postmodern fuzzy set theory and a Kabbalah possible worlds model of modal logic and semantics type. In order to create a postmodern fuzzy system theory, we “deconstruct” a fuzzy system in order to incorporate in it the cognitive, emotional and behavioral actions and expressions levels characteristic for humanistic systems. Kabbalah offers a structural, fractal and hierarchic model for integrating cognition, emotions and behavior. We obtain a canonic deconstruction for a fuzzy system into its cognitive, emotional and behavioral fuzzy subsystems. View Full-Text
Keywords: general system theory; mathematical system theory; fuzzy systems; fuzzy rule based systems; fuzzy control systems; hierarchic control systems; fuzzy sets; fuzzy logic; Kabbalah; possible worlds; modal logic; fractal; Kripke semantics; deconstruction; postmodernism; humanistic systems; human factor general system theory; mathematical system theory; fuzzy systems; fuzzy rule based systems; fuzzy control systems; hierarchic control systems; fuzzy sets; fuzzy logic; Kabbalah; possible worlds; modal logic; fractal; Kripke semantics; deconstruction; postmodernism; humanistic systems; human factor
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Burstein, G.; Negoita, C.V.; Kranz, M. Postmodern Fuzzy System Theory: A Deconstruction Approach Based on Kabbalah. Systems 2014, 2, 590-605.

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