Fuzzy soft -hemirings

Authors

  • XUELING MA Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei province 445000, China
  • JIANMING ZHAN Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei province 445000, China

Keywords:

, -hemirings, Fuzzy soft set, -fuzzy soft (left, right) -ideal, -fuzzy soft -interior-ideal, ( -hemiregular, -semisimple) -hemiring.

Abstract

Maji et al. (2001) introduced the concept of a fuzzy soft set, which is an extension to the concept of a soft set. The concepts of -fuzzy soft left -ideals (right -ideals, -interior-ideals) in -hemirings are introduced. Some new characterization theorems of these kinds of fuzzy soft -ideals of a -hemiring are also given. Finally, we show that -hemiregular and -semisimple -hemirings can be described by -fuzzy soft -ideals and -fuzzy soft -interior-ideals.

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Published

29-04-2014