DOI QR코드

DOI QR Code

The Properties of Implications and Conjunctions

  • Kim, Yong-Chan (Department of Mathematics, Kangnung National University) ;
  • Kim, Sun-Young (Department of Applied Mathematics, Pai Chai University)
  • 발행 : 2008.06.01

초록

We investigate the properties of (forcing)-implications, conjunctions and adjointness in a sense Morsi et.al [1,5].

키워드

참고문헌

  1. A. A. Abdel-Hamid and N. N. Morsi, "Associatively tied implications", Fuzzy Sets and Systems, vol.136, pp291-311, 2003 https://doi.org/10.1016/S0165-0114(02)00268-3
  2. M. Gehrke, C. Walker and E. Walker, "A note on negations and nilpotent t-norms", Int. Jour. of Approximate Reasoning, vol 21, pp 137-155, 1999 https://doi.org/10.1016/S0888-613X(99)00010-9
  3. G. Gerla, "An extension principle for fuzzy logics", Mathematical Logic Quarterly, vol 40, pp 357-380, 1994 https://doi.org/10.1002/malq.19940400306
  4. P. Hajek, Mathematics of Fuzzy Logic, Kluwer Academic, Publishers, Dordrecht. 1998
  5. N. N. Morsi, E. M. Roshdy, "Issues on adjointness in mutiple-valued logics", Information Sciences, vol.176, pp2886-2909, 2006 https://doi.org/10.1016/j.ins.2005.08.005
  6. H. T. Nguyen and E. A. Walker, Fuzzy logic, Chapman and Hall, New York, 2000
  7. E. Turunen, "Algebraic structures in fuzzy logic", Fuzzy sets and Systems, vol 52, pp 181-188, 1992 https://doi.org/10.1016/0165-0114(92)90048-9
  8. E. Turunen, Mathematics behind fuzzy logic, A Springer-Verlag Co., 1999