The World of Combinatorial Fuzzy Problems and the Efficiency of Fuzzy Approximation Algorithms

Preprint English OPEN
Yamakami, Tomoyuki;
(2015)
  • Related identifiers: doi: 10.1109/SCIS-ISIS.2014.7044695
  • Subject: Computer Science - Artificial Intelligence | Computer Science - Computational Complexity
    acm: ComputingMethodologies_PATTERNRECOGNITION | ComputingMethodologies_GENERAL
    arxiv: Mathematics::General Mathematics

We re-examine a practical aspect of combinatorial fuzzy problems of various types, including search, counting, optimization, and decision problems. We are focused only on those fuzzy problems that take series of fuzzy input objects and produce fuzzy values. To solve suc... View more
  • References (9)

    Finally, we will demonstrate the existence of complete problems for Fuzzy-NPA(1). Our choice of such

    problem is Fuzzy-Circuit-SAT, defined in Section 4.4. [1] M. F. Abbod, D. G. von Keyserlingk, D. A. Linkens, and M. Mahfouf. Survey of utilisation of fuzzy

    technology in medicine and healthcare. Fuzzy Sets and Systems 120, 331-349, 2001. [2] G. Ausiello, P. Crescenzi, G. Gambosi, V, Kann, Marchetti-Spaccamela, and M. Protasi. Complexity

    Springer, 2003. [3] M. Blue, B. Bush, and J. Puckett. Unified approach to fuzzy graph problems. Fuzzy Sets and

    Systems, 125, 355-368, 2002. [4] M. Doostfatemeh and S. Kremer. New directions in fuzzy automata. Int. J. Approx. Reason., 38,

    175-214, 2005. [5] M. R. Garey and D. S. Johnson. Computers and Intractability: Guide to the Theory of NP-

    Completeness. W. H. Freeman and Company, 1979. [6] R. Goetschel Jr. and W. Voxman. Fuzzy circuits. Fuzzy Sets and Systems, 32, 35-43, 1989. [7] M. Hanss. Applied Fuzzy Arithmetic: An Introduction with Engineering Applications. Springer, 2010. [8] K. Hirota. Fundamentals of fuzzy logical circuits. In Proc. of IJCAI '91 Workshops on Fuzzy Logic

    and Fuzzy Control, Lecture Notes in Computer Science, vol. 833, pp. 143-157, 1994. [9] M. W. Krentel. The complexity of optimization problems. J. Comput. Syst., 36, 490-509, 1988. [10] E. T. Lee and L. A. Zadeh. Note on fuzzy languages. Inform. Sci., 4, 421-434, 1969. [11] L. Li, S. N. Kabadi, and K. P. K. Nair. Fuzzy models for single-period inventory problem. Fuzzy

    Sets and Systems 132, 273-289, 2002. [12] E. S. Santos. Fuzzy algorithms. Inform. Control, 17, 326-339, 1970. [13] L. A. Zadeh. Fuzzy sets. Inform. Control 8, 338-353, 1965. [14] L. A. Zadeh. Fuzzy algorithms. Inform. Control, 12, 94-102, 1968.

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