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A Fuzzy set based approach to generalized landscape theory of aggregation

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Abstract

In this paper, we firstly reformulate the landscape theory of aggregation (Axelrod and Bennett, 1993) in terms of an optimization problem, and then straightforwardly propose a fuzzy-set-theoretic based extension for it. To illustrate efficiency of the proposal, we make a simulation with the proposed framework for the international alignment of the Second World War in Europe. It is shown that the obtained results are essentially comparable to those given by the original theory. Consequently, the fuzzy-set-theoretic based extension of landscape theory can allow us to analyze a wide variety of aggregation processes in politics, economics, and society in a more flexible manner.

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Authors and Affiliations

  1. Japan Advanced Institute of Science and Technology, 1-1 Asahidai, Tatsunokuchi, 923-1292, Ishikawa, Japan

    Shigemasa Suganuma,  Van-Nam Huynh & Yoshiteru Nakamori

  2. Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, 100080, Beijing, China

    Shouyang Wang

Authors
  1. Shigemasa Suganuma
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  2. Van-Nam Huynh
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  3. Yoshiteru Nakamori
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  4. Shouyang Wang
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Corresponding author

Correspondence to Shigemasa Suganuma.

Additional information

Shigemasa Suganuma: He received the M.S. degree in knowledge science from Japan Advanced Institute of Science and Technology,, Ishikawa, Japan in 2000. He currently takes a doctor's course in School of Knowledge Science, Japan Advanced Institute of Science and Technology (JAIST). His research interest includes agent based simulation and its application to social and political concerns, industry and environmental behavior.

Van-Nam Huynh, Ph.D.: He received the B.S. in Mathematics (1990) and Ph.D. (1999) from University of Quinhon, Vietnam and Institute of Information Technology, Vietnam Academy of Science and Technology, respectively. From April 2001 to March 2002, he was a postdoctoral fellow awarded by INOUE Foundation for Science at JAIST. He is currently a Research Associate in School of Knowledge Science, JAIST, Japan. His current research interests include fuzzy logic and approximate reasoning, uncertainty formalisms in knowledge-based systems, decision making.

Yoshiteru Nakamori, Ph.D.: He received the B.S., M.S., and Ph.D. degrees all in applied mathematics and physics from Kyoto University, Kyoto, Japan. He is currently a Professor in School of Knowledge Science, JAIST. His research interests include development of modeling methodology based on hard as well as soft data, and support systems for soft thinking around hard data.

Shouyang Wang, Ph.D.: He received the Ph.D. degree in Operations Research from Chinsese Academy of Sciences (CAS), Beijing in 1986. He is currently a Bairen distinguished professor of Management Science at Academy of Mathematics and Systems Sciences of CAS and a Lotus chair professor of Hunan University in Changsha. He is the editor-in-chief or a co-editor of 12 journals. He has published 120 journal articles. His current research interest includes decision analysis, system engineering and knowledge management.

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Suganuma, S., Van-Nam Huynh, Nakamori, Y. et al. A Fuzzy set based approach to generalized landscape theory of aggregation. New Gener Comput 23, 57–66 (2005). https://doi.org/10.1007/BF03037650

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  • DOI: https://doi.org/10.1007/BF03037650

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