대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제32권2호
  • /
  • Pages.353-359
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  • 2017
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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ON A CLASS OF GENERALIZED TRIANGULAR NORMS

  • Jebril, Iqbal (Department of Mathematics Science Faculty Taibah University) ;
  • Raissouli, Mustapha (Department of Mathematics Science Faculty Taibah University)
  • 투고 : 2016.04.19
  • 발행 : 2017.04.30
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초록

Starting from a t-norm T, it is possible to construct a class of new t-norms, so-called T-generalized t-norm. The purpose of this paper is to describe some properties of this class of generalized t-norms. An algebraic structure as well as a binary relation among t-norms are also investigated. Some open problems are discussed as well.

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참고문헌

  1. M. M. Gupta and J. Qi, Theory of T-norms and fuzzy inference methods, Fuzzy Sets and Systems 40 (1991), no. 3, 431-450. https://doi.org/10.1016/0165-0114(91)90171-L
  2. E. P. Klement and R. Mesiar, Triangular norms, Tatra Mt. Math. Publ. 13 (1997), 169-193.
  3. E. P. Klement, R. Mesiar, and E. Pap, Triangular Norms, Kluwer, Academic Publisher, Dordrecht, 2000.
  4. B. Schweizer and A. Sklar, Probabilistic Metric Spaces, North Holland, Amsterdam, 1983, 2nd edition: Dover Publications, Mineola, NY, 2006.