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Computational Intelligence Based on Lattice Theory

  • Book
  • © 2007

Overview

Editors:
  1. Vassilis G. Kaburlasos

    1. Technological Educational Institution of Kavala, Kavala, Greece

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  2. Gerhard X. Ritter

    1. University of Florida, Gainesville, USA

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  • Resent results of Computational Intelligence Based on Lattice Theory
  • Outcome of a special session held during in WCCI 2006
  • Includes supplementary material: sn.pub/extras

Part of the book series: Studies in Computational Intelligence (SCI, volume 67)

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Table of contents (18 chapters)

  1. Logic and Inference

    1. L-fuzzy Sets and Intuitionistic Fuzzy Sets

      • Anestis G. Hatzimichailidis, Basil K. Papadopoulos
      Pages 325-339

    2. A Family of Multi-valued t-norms and t-conorms

      • Athanasios Kehagias
      Pages 341-360

    3. The Construction of Fuzzy-valued t-norms and t-conorms

      • Athanasios Kehagias
      Pages 361-370

  2. Back Matter

    Pages 371-375
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Keywords

About this book

A number of di?erent instruments for design can be uni?ed in the context of lattice theory towards cross-fertilization By“latticetheory”[1]wemean,equivalently,eitherapartialordering relation [2,3]ora couple of binary algebraic operations [3, 4]. There is a growing interest in computational intelligence based on lattice theory. A number of researchers are currently active developing lattice theory based models and techniques in engineering, computer and information s- ences, applied mathematics, and other scienti?c endeavours. Some of these models and techniques are presented here. However, currently, lattice theory is not part of the mainstream of com- tationalintelligence.Amajorreasonforthisisthe“learningcurve”associated with novel notions and tools. Moreover, practitioners of lattice theory, in s- ci?c domains of interest, frequently develop their own tools and/or practices without being aware of valuable contributions made by colleagues. Hence, (potentially) useful work may be ignored, or duplicated. Yet, other times, di?erent authors may introduce a con?icting terminology. The compilation of this book is an initiative towards proliferating est- lished knowledge in the hope to further expand it, soundly. There was a critical mass of people and ideas engaged to produce this book. Around two thirds of this book’s chapters are substantial enhancements of preliminary works presented lately in a three-part special session entitled “Computational Intelligence Based on Lattice Theory” organized in the c- text of the World Congress in Computational Intelligence (WCCI), FUZZ- IEEE program, July 16-21, 2006 in Vancouver, BC, Canada. The remaining book chapters are novel contributions by other researchers.

Editors and Affiliations

  • Technological Educational Institution of Kavala, Kavala, Greece

    Vassilis G. Kaburlasos

  • University of Florida, Gainesville, USA

    Gerhard X. Ritter

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