Uncertainty Data in Interval-Valued Fuzzy Set Theory

Properties, Algorithms and Applications

  • Barbara Pękala

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 367)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Barbara Pȩkala
    Pages 1-20
  3. Barbara Pȩkala
    Pages 21-89
  4. Barbara Pȩkala
    Pages 91-151
  5. Barbara Pȩkala
    Pages 153-156
  6. Back Matter
    Pages 157-181

About this book


This book offers an introduction to fuzzy sets theory and their operations, with a special focus on aggregation and negation functions. Particular attention is given to interval-valued fuzzy sets and Atanassov’s intuitionistic fuzzy sets and their use in uncertainty models involving imperfect or unknown information. The theory and application of interval-values fuzzy sets to various decision making problems represent the central core of this book, which describes in detail aggregation operators and their use with imprecise data represented as intervals. Interval-valued fuzzy relations, compatibility measures of interval and the transitivity property are thoroughly covered. With its good balance between theoretical considerations and applications of originally developed algorithms to real-world problem, the book offers a timely, inspiring guide to mathematicians and engineers developing new decision making models or implementing/applying existing ones to a wide range of applications involving imprecise or incomplete data.  


Interval-Valued Fuzzy Aggregations Decision Making Using Preference Interval-Valued Fuzzy Relations Preservation of N-Reciprocity Applications of Aggregation Functions Compatibility Measures of Intervals Interval-Valued Ordered Weighted Averaging Operators Properties of Interval-Valued Fuzzy Relations Generalized Composition of Interval-Valued Fuzzy Relations Approximate Reasoning Using General Compositions

Authors and affiliations

  • Barbara Pękala
    • 1
  1. 1.Interdisciplinary Centre for Computational Modelling, Faculty of Mathematics and Natural SciencesUniversity of RzeszówRzeszówPoland

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