Skip to main content
SpringerLink
Log in

Combining Fuzzy Imprecision with Probabilistic Uncertainty in Decision Making

  • Book
  • © 1988

Overview

Editors:
  1. Janusz Kacprzyk

    1. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Mario Fedrizzi

    1. Institute of Informatics, University of Trento, Trento, Italy

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Lecture Notes in Economics and Mathematical Systems (LNE, volume 310)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (27 chapters)

  1. Decision — Making — Related Models Involving Fuzziness and Randomness

    1. Probabilistic-Possibilistic Approach to Some Statistical Problems with Fuzzy Experimental Observations

      • María Angeles Gil
      Pages 286-306

    2. Estimation of Life-Time with Fuzzy Prior Information: Application in Reliability

      • Olgierd Hryniewicz
      Pages 307-321

    3. Questionnaires with Fuzzy and Probabilistic Elements

      • Bernadette Bouchon
      Pages 322-330

    4. From Fuzzy Data to a Single Action — A Simulation Approach

      • Stefan Chanas, Marek Nowakowski
      Pages 331-341

  2. Applications

    1. Probabilistic Sets in Classification and Pattern Recognition

      • Witold Pedrycz, Kaoru Hirota
      Pages 342-352

    2. Fuzzy Optimization of Radiation Protection and Nuclear Safety

      • Yasushi Nishiwaki
      Pages 353-373

    3. Application of Fuzzy Statistical Decision Making in Countermeasures against Great Earthquakes

      • Feng Deyi, Lin Mingzhou, Chen Ronghua, Jiang Chen
      Pages 374-388

    4. From an Oriental Market to the European Monetary System: Some Fuzzy-Sets-Related Ideas

      • Erio Castagnoli, Piera Mazzoleni
      Pages 389-399

  3. Back Matter

    Pages 400-401
    Download chapter PDF
Back to top

Keywords

About this book

In the literature of decision analysis it is traditional to rely on the tools provided by probability theory to deal with problems in which uncertainty plays a substantive role. In recent years, however, it has become increasingly clear that uncertainty is a mul­ tifaceted concept in which some of the important facets do not lend themselves to analysis by probability-based methods. One such facet is that of fuzzy imprecision, which is associated with the use of fuzzy predicates exemplified by small, large, fast, near, likely, etc. To be more specific, consider a proposition such as "It is very unlikely that the price of oil will decline sharply in the near future," in which the italicized words play the role of fuzzy predicates. The question is: How can one express the mean­ ing of this proposition through the use of probability-based methods? If this cannot be done effectively in a probabilistic framework, then how can one employ the information provided by the proposition in question to bear on a decision relating to an investment in a company engaged in exploration and marketing of oil? As another example, consider a collection of rules of the form "If X is Ai then Y is B,," j = 1, . . . , n, in which X and Yare real-valued variables and Ai and Bi are fuzzy numbers exemplified by small, large, not very small, close to 5, etc.

Editors and Affiliations

  • Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

  • Institute of Informatics, University of Trento, Trento, Italy

    Mario Fedrizzi

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation