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Springer Handbook of Computational Intelligence pp 249–267Cite as

An Algebraic Model of Reasoning to Support Zadeh’s CWW

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Abstract

In the very wide setting of a Basic Fuzzy Algebra, a formal algebraic model for Commonsense Reasoning is presented with fuzzy and crisp sets including, in particular, the usual case of the Standard Algebras of Fuzzy Sets. The aim with which the model is constructed is that of, first, adding to Zadeh’s Computing with Words a wide perspective of ordinary reasoning in agreement with some basic characteristics of it, and second, presenting an operational ground on which linguistic terms can be represented, and schemes of inference posed. Additionally, the chapter also tries to express the author’s belief that reasoning deserves to be studied like an Experimental Science.

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Abbreviations

BFA:

basic fuzzy algebra

CR:

commonsense reasoning

CWW:

computing with words

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Author information

Authors and Affiliations

  1. Fundamentals of Soft Computing, European Centre for Soft Computing, 33600, Mieres, Spain

    Enric Trillas

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  1. Enric Trillas
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Correspondence to Enric Trillas .

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Editors and Affiliations

  1. Systems Research Inst., Polish Academy of Sciences, ul. Newelska 6, 01-447, Warsaw, Poland

    Janusz Kacprzyk

  2. Dep. Electrical and Computer Engineering, University of Alberta, 116 Street 9107, T6J 2V4, Edmonton, Alberta, Canada

    Witold Pedrycz

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Trillas, E. (2015). An Algebraic Model of Reasoning to Support Zadeh’s CWW. In: Kacprzyk, J., Pedrycz, W. (eds) Springer Handbook of Computational Intelligence. Springer Handbooks. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-43505-2_16

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  • DOI: https://doi.org/10.1007/978-3-662-43505-2_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-43504-5

  • Online ISBN: 978-3-662-43505-2

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