Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
권호 표지
DOI QR코드

DOI QR Code

A STUDY ON THE CARTESIAN CLOSED CATEGORY POSM

  • Kim, Ig Sung (Department of Data Information Sangji University)
  • Received : 2013.04.06
  • Accepted : 2013.05.25
  • Published : 2013.06.30
Download PDF
⟨ Previous Next ⟩

Abstract

PosM is a category whose objects are ample spaces and morphisms are possibility mappings. We study some properties of the Category PosM. So we show that Category PosM is a cartesian closed category, and it forms a topos with some condition.

Keywords

References

  1. R. Goldblatt, Topoi, North-Holland, 1984.
  2. H.J. Janssen, G.De. Cooman, E.E. Kerre, Ample fields as a basis for possibilistic processes, Fuzzy Sets and System 120 (2001), 445-458. https://doi.org/10.1016/S0165-0114(99)00142-6
  3. P.T. Johnstone, Topos Theory, Academic Press, N. Y. 1977.
  4. X.H. Yuan, H.X. Li, C. Zhang. The set-valued mapping based on ample fields, Computer and Mathematics with Applications 56 (2008), 1954-1965. https://doi.org/10.1016/j.camwa.2008.04.011
  5. P.Z. Wang, Fuzzy contactibility and fuzzy variables, Fuzzy Sets and System 8 (1982), 81-92. https://doi.org/10.1016/0165-0114(82)90032-X