Skip to main content
SpringerLink
Log in

Fuzzy Communication Reaching Consensus under Acyclic Condition

  • Conference paper
PRICAI 2008: Trends in Artificial Intelligence (PRICAI 2008)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5351))

Included in the following conference series:

Abstract

We present a fuzzy communication model in multi-agent system. In the model agents have the fuzzy structure associated with a partition, and each agent obtains the membership value of an event under his/her private information. Each agent can consider the event as a fuzzy set, and he/she sends not exact information on the membership value but fuzzy information on it to the another according to a communication graph. We show that consensus on the fuzzy event can still be guaranteed among all agents in the communication according to acyclic communication graph; i.e., all the membership values are equal after long running communication.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
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

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Aumann, R.J.: Agreeing to disagree. Annals of Statistics 4, 1236–1239 (1976)

    Article  MathSciNet  MATH  Google Scholar 

  2. Bacharach, M.: Some extensions of a claim of Aumann in an axiomatic model of knowledge. Journal of Economic Theory 37, 167–190 (1985)

    Article  MathSciNet  MATH  Google Scholar 

  3. Binmore, K.: Fun and Games, p. xxx+642. D.C. Heath and Company, Lexington (1992)

    MATH  Google Scholar 

  4. Fagin, R., Halpern, J.Y., Moses, Y., Vardi, M.Y.: Reasoning about Knowledge. The MIT Press, Cambridge (1995)

    MATH  Google Scholar 

  5. Geanakoplos, J.D., Polemarchakis, H.M.: We can’t disagree forever. Journal of Economic Theory 28, 192–200 (1982)

    Article  MATH  Google Scholar 

  6. Krasucki, P.: Protocol forcing consensus. Journal of Economic Theory 70, 266–272 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  7. Matsuhisa, T., Kamiyama, K.: Lattice structure of knowledge and agreeing to disagree. Journal of Mathematical Economics 27, 389–410 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  8. Ménager, J.: Consensus, communication and knowledge: An extension with Bayesian agents. Mathematical Social Sciences 51, 274–279 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  9. Parikh, R., Krasucki, P.: Communication, consensus, and knowledge. Journal of Economic Theory 52, 178–189 (1990)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Natural Sciences, Ibaraki National College of Technology, Nakane 866, Hitachinaka-shi, Ibaraki, 312-8508, Japan

    Takashi Matsuhisa

Authors
  1. Takashi Matsuhisa
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Japan Advanced Institute of Science and Technology, Asahidai 1-1, 923-12292, Nomi, Japan

    Tu-Bao Ho

  2. Department of Computer Science & Technology, Nanjing University, 22 Hankou Road, 210093, China

    Zhi-Hua Zhou

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Matsuhisa, T. (2008). Fuzzy Communication Reaching Consensus under Acyclic Condition. In: Ho, TB., Zhou, ZH. (eds) PRICAI 2008: Trends in Artificial Intelligence. PRICAI 2008. Lecture Notes in Computer Science(), vol 5351. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89197-0_70

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-89197-0_70

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-89196-3

  • Online ISBN: 978-3-540-89197-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation