Scientific Research and Essays

  • Abbreviation: Sci. Res. Essays
  • Language: English
  • ISSN: 1992-2248
  • DOI: 10.5897/SRE
  • Start Year: 2006
  • Published Articles: 2768

Full Length Research Paper

A different approach to the set of fuzzy numbers

Danyal SOYBAÅž* and F. Berna BENLI
Department of Mathematics, Faculty of Education, Erciyes University, Kayseri – Turkey.
Email: [email protected]

  •  Accepted: 10 June 2011
  •  Published: 16 January 2012

Abstract

In this paper, we showed that every element of the set F of all fuzzy numbers can be abstractly considered as an element of the nonseparable and nonreflexive Banach algebra . Banach lattice structure of  is also investigated according to a partial order we defined.

 

Key words: Fuzzy numbers, Banach space.

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