Difference between revisions of "Fuzzy Logic"

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As described in brief by the developer of fuzzy logic, Lotfi Zadeh:
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==Full Title or Meme==
Fuzzy logic is not fuzzy. Basically, fuzzy logic is a precise logic of imprecisionand approximate reasoning. More specifically, fuzzy logic may be viewed as anattempt at formalization/mechanization of two remarkable human capabilities.
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A logic that goes beyond the two-valued "true" and "false" of Boolean logic to a continuum, which could be imaged as a probability between 0 to 1.
Academia Letters, January 2021
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Corresponding Author:
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==Context==
Kevin Willison, kdwillis@lakeheadu.ca
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By no means is “fuzzy logic” new. The introduction to this approach was Professor Lotfi Zadeh back in 1965.<ref>L. A. Zadeh, ''Fuzzy sets''. Information and Control. San Diego. (1965-06) '''8''' (3): 338–353. doi:10.1016/S0019-9958(65)90241-X. ISSN 0019-9958. Wikidata Q25938993.</ref> As described in brief by the developer, Zadeh: “Fuzzy logic is not fuzzy. Basically, fuzzy logic is a precise logic of imprecision and approximate reasoning. More specfically, fuzzy logic may be viewed as an attempt at formalization/mechanization of two remarkable human capabilities. First, the capability to converse, reason and make rational decisions in an environment of imprecision, [[Uncertainty]], incompleteness of information, conflicting information, partiality of truth and partiality of possibility – in short, in an environment of imperfect information. And second, the capability to perform a wide variety of physical and mental tasks without any measurements and any computations, from computing with numbers to computing with words-from manipulation of measurements to manipulation of perceptions”<ref>L. A. Zadeh ''Is there a need for fuzzy logic?.'' Information Sciences
Citation:
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Volume 178, Issue 13, (2008-07-01), pp. 2751-2779</ref>
Willison, K. (2021). Dual-Process Models in Sociology: Reflections and Potential.
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Academia Letters
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According to Turner (2021) “Dual process models in sociology are faced with a generic problem of computationalist approaches to cognitive science about generalization: if the processes are machine or computer-like, these processes don’t generalize to near cases very well. The idea that fuzzy logic might help is a reasonable response to this problem.” Indeed, among its varied attributes, fuzzy logic has a high power of cointensive precisiation. Informally, precisiation is an operation which transforms an object, p into an object, p*, which in some specfied sense is defined more precisely than p (Zadeh, 2008). This power is needed fora formulation of cointensive definitions of scientific concepts and cointensive formalization of human-centric fields such as economics, linguistics, law, conflict resolution, psychology and medicine (Zadeh, 2008). Like all constructs of knowledge fuzzy logic has its limitations but its adaptability to be used in a wide array of applications garners support that such holds potential to effectively serve to augment dual- process modelling initiatives. The potential benefit of fuzzy logic to that of sociology and the social sciences in general may be examined further in Kosko (1999, 1994); Bunge (1983); and Uddin (2017).As quoted by Edgar Degas: “Art is not what you see but what you make others see”(Schenkel, 2004). By replacing the word “art”, this same line of thinking may hold as a goal of theory. In so doing, new creative approaches and added bridges are enabled to help connect existing and developing disciplines, plus constructs of knowing in general. To this end and beyond, dual-process models hold potential to further expand our thinking, or as Leschziner(2019) would say, help explicate social action. Finding new in-roads towards this quest such as the potential incorporation of fuzzy logic, requires that we sharpen our  creativity(Willison,2017), curiosity and sociological imagination (Mills, 1959). Overall, the domain of sociology has expanded by an emphasis on integrative practices as we witness and benefit from such emerging fields as: cognitive sociology, environmental sociology, computational sociology and sociological social psychology, and so forth, to name but a few relatively new developments.<ref> Willison, K. (2021). ''Dual-Process Models in Sociology: Reflections and Potential.''  Academia Letters,Article 201.  https://doi.org/10.20935/AL201
,Article 201.
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https://www.academia.edu/45050564/Dual_Process_Models_in_Sociology_Reflections_and_Potential?email_work_card=thumbnail</ref>
https://doi.org/10.20935/AL201
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.
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==References==
3
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©2021 by Academia Inc. — Open Access — Distributed under CC BY 4.0
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[[Category: Philosophy]]
 
First, the capability to converse, reason and make rational decisions in an envi-ronment of imprecision, uncertainty, incompleteness of information, conflictinginformation, partiality of truth and partiality of possibility – in short, in an envi-ronment of imperfect information. And second, the capability to perform a widevarietyofphysicalandmentaltaskswithoutanymeasurementsandanycomputa-tions,fromcomputingwithnumberstocomputingwithwords-frommanipulationof measurements to manipulation of perceptions
 
(Zadeh,2008:2751).According to Turner (2021) “Dual process models in sociology are faced with a genericproblem of computationalist approaches to cognitive science about generalization: if the pro-cesses are machine or computer-like, these processes don’t generalize to near cases very well.The idea that fuzzy logic might help is a reasonable response to this problem.” Indeed, amongits varied attributes, fuzzy logic has a high power of cointensive precisiation. Informally, pre-cisiation is an operation which transforms an object, p into an object, p*, which in somespecified sense is defined more precisely than p (Zadeh, 2008). This power is needed fora formulation of cointensive definitions of scientific concepts and cointensive formalizationof human-centric fields such as economics, linguistics, law, conflict resolution, psychologyand medicine (Zadeh, 2008). Like all constructs of knowledge fuzzy logic has its limitationsbut its adaptability to be used in a wide array of applications garners support that such holdspotential to effectively serve to augment dual- process modelling initiatives. The potentialbenefit of fuzzy logic to that of sociology and the social sciences in general may be examinedfurther in Kosko (1999, 1994); Bunge (1983); and Uddin (2017).As quoted by Edgar Degas: “Art is not what you see but what you make others see”(Schenkel, 2004). By replacing the word “art”, this same line of thinking may hold as a goalof theory. In so doing, new creative approaches and added bridges are enabled to help connectexisting and developing disciplines, plus constructs of knowing in general. To this end andbeyond, dual-process models hold potential to further expand our thinking, or as Leschziner(2019) would say, help explicate social action. Finding new in-roads towards this quest suchasthepotentialincorporationoffuzzylogic, requiresthatwesharpenourcreativity(Willison,2017), curiosity and sociological imagination (Mills, 1959).Overall, the domain of sociology has expanded by an emphasis on integrative practicesas we witness and benefit from such emerging fields as: cognitive sociology, environmentalsociology, computational sociology and sociological social psychology, and so forth, to namebut a few relatively new developments. As indicated by Henry (2021), the importance of incorporating an interdis
 

Latest revision as of 17:30, 20 March 2023

Full Title or Meme

A logic that goes beyond the two-valued "true" and "false" of Boolean logic to a continuum, which could be imaged as a probability between 0 to 1.

Context

By no means is “fuzzy logic” new. The introduction to this approach was Professor Lotfi Zadeh back in 1965.[1] As described in brief by the developer, Zadeh: “Fuzzy logic is not fuzzy. Basically, fuzzy logic is a precise logic of imprecision and approximate reasoning. More specfically, fuzzy logic may be viewed as an attempt at formalization/mechanization of two remarkable human capabilities. First, the capability to converse, reason and make rational decisions in an environment of imprecision, Uncertainty, incompleteness of information, conflicting information, partiality of truth and partiality of possibility – in short, in an environment of imperfect information. And second, the capability to perform a wide variety of physical and mental tasks without any measurements and any computations, from computing with numbers to computing with words-from manipulation of measurements to manipulation of perceptions”[2]

According to Turner (2021) “Dual process models in sociology are faced with a generic problem of computationalist approaches to cognitive science about generalization: if the processes are machine or computer-like, these processes don’t generalize to near cases very well. The idea that fuzzy logic might help is a reasonable response to this problem.” Indeed, among its varied attributes, fuzzy logic has a high power of cointensive precisiation. Informally, precisiation is an operation which transforms an object, p into an object, p*, which in some specfied sense is defined more precisely than p (Zadeh, 2008). This power is needed fora formulation of cointensive definitions of scientific concepts and cointensive formalization of human-centric fields such as economics, linguistics, law, conflict resolution, psychology and medicine (Zadeh, 2008). Like all constructs of knowledge fuzzy logic has its limitations but its adaptability to be used in a wide array of applications garners support that such holds potential to effectively serve to augment dual- process modelling initiatives. The potential benefit of fuzzy logic to that of sociology and the social sciences in general may be examined further in Kosko (1999, 1994); Bunge (1983); and Uddin (2017).As quoted by Edgar Degas: “Art is not what you see but what you make others see”(Schenkel, 2004). By replacing the word “art”, this same line of thinking may hold as a goal of theory. In so doing, new creative approaches and added bridges are enabled to help connect existing and developing disciplines, plus constructs of knowing in general. To this end and beyond, dual-process models hold potential to further expand our thinking, or as Leschziner(2019) would say, help explicate social action. Finding new in-roads towards this quest such as the potential incorporation of fuzzy logic, requires that we sharpen our creativity(Willison,2017), curiosity and sociological imagination (Mills, 1959). Overall, the domain of sociology has expanded by an emphasis on integrative practices as we witness and benefit from such emerging fields as: cognitive sociology, environmental sociology, computational sociology and sociological social psychology, and so forth, to name but a few relatively new developments.[3]

References

  1. L. A. Zadeh, Fuzzy sets. Information and Control. San Diego. (1965-06) 8 (3): 338–353. doi:10.1016/S0019-9958(65)90241-X. ISSN 0019-9958. Wikidata Q25938993.
  2. L. A. Zadeh Is there a need for fuzzy logic?. Information Sciences Volume 178, Issue 13, (2008-07-01), pp. 2751-2779
  3. Willison, K. (2021). Dual-Process Models in Sociology: Reflections and Potential. Academia Letters,Article 201. https://doi.org/10.20935/AL201 https://www.academia.edu/45050564/Dual_Process_Models_in_Sociology_Reflections_and_Potential?email_work_card=thumbnail