Fuzzy Logic and Data Mining in Disaster Mitigation

Disaster mitigation and management is one of the most challenging examples of decision making under uncertain, missing, and sketchy, information. Even in the extreme cases where the nature of the disaster is known, preparedness plans are in place, and analysis, evaluation, and simulations of the disaster management procedures have been performed, the amount and magnitude of “surprises” that accompany the real disaster pose an enormous demand. In the more severe cases, where the entire disaster is an unpredicted event, the disaster management and response system might fast run into a chaotic state. Hence, the key for improving disaster preparedness and mitigation capabilities is employing sound techniques for data collection, information processing, and decision making under uncertainty. Fuzzy logic based techniques are some of the most promising approaches for disaster mitigation. The advantage of the fuzzy-based approach is that it enables keeping account on events with perceived low possibility of occurrence via low fuzzy membership/truth-values and updating these values as information is accumulated or changed. Several fuzzy logic based algorithms can be deployed in the data collection, accumulation, and retention stage, in the information processing phase, and in the decision making process. In this chapter a comprehensive assessment of fuzzy techniques for disaster mitigation is presented. The use of fuzzy logic as a possible tool for disaster management is investigated and the strengths and weaknesses of several fuzzy techniques are evaluated. In addition to classical fuzzy techniques, the use of incremental fuzzy clustering in the context of complex and high order fuzzy logic system is evaluated.

[1]  D. Mundici,et al.  Algebraic Foundations of Many-Valued Reasoning , 1999 .

[2]  T. Mann The Black Swan , 1954 .

[3]  Abraham Kandel Fighting Terror in Cyberspace , 2005, Fighting Terror in Cyberspace.

[4]  Abraham Kandel,et al.  On complex fuzzy sets , 2001, 10th IEEE International Conference on Fuzzy Systems. (Cat. No.01CH37297).

[5]  Azriel Levy,et al.  Foundations of set theory, 2nd Edition , 1973, Studies in logic and the foundations of mathematics.

[6]  Kerstin Vogler,et al.  Algebraic Foundations Of Many Valued Reasoning , 2016 .

[7]  Scott Dick,et al.  Toward complex fuzzy logic , 2005, IEEE Transactions on Fuzzy Systems.

[8]  Abraham Kandel,et al.  An axiomatic approach to fuzzy set theory , 1990, Inf. Sci..

[9]  George J. Klir,et al.  Fuzzy sets, uncertainty and information , 1988 .

[10]  Abraham Kandel,et al.  Fuzzy relational data bases : a key to expert systems , 1984 .

[11]  M. Mew A black swan? , 2009, BDJ.

[12]  Lotfi A. Zadeh,et al.  The concept of a linguistic variable and its application to approximate reasoning - II , 1975, Inf. Sci..

[13]  P. Cintula Advances in the ŁΠ and logics , 2003 .

[14]  Francesc Rosselló,et al.  Scalar and fuzzy cardinalities of crisp and fuzzy multisets , 2009, Int. J. Intell. Syst..

[15]  P. Taylor Fooled by Randomness , 2012 .

[16]  P. Hájek Fuzzy logic and arithmetical hierarchy , 1995 .

[17]  Abraham Kandel,et al.  Fuzzy Semantic Analysis and Formal Specification of Conceptual Knowledge , 1995, Inf. Sci..

[18]  A. Kandel Fuzzy Mathematical Techniques With Applications , 1986 .

[19]  Franco Montagna,et al.  On the predicate logics of continuous t-norm BL-algebras , 2005, Arch. Math. Log..

[20]  Lotfi A. Zadeh,et al.  The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .

[21]  Petr Cintula,et al.  Fuzzy class theory , 2005, Fuzzy Sets Syst..

[22]  Zachary J Lemnios,et al.  The Critical Role of Science and Technology for National Defense , 2009 .

[23]  Renatus Ziegler,et al.  On the Foundations of Set Theory , 1996 .

[24]  Abraham Kandel,et al.  A new interpretation of complex membership grade , 2011, Int. J. Intell. Syst..

[25]  Abraham Kandel,et al.  Complex fuzzy logic , 2003, IEEE Trans. Fuzzy Syst..

[26]  Abraham Kandel,et al.  Data Mining in Time Series Database , 2004 .

[27]  Yehoshua Bar-Hillel,et al.  Foundations of Set Theory [by] Abraham A. Fraenkel, Yehoshua Bar-Hillel [and] Azriel Levy. With the Collaboration of Dirk van Dalen. -- , 1973 .